The following data are from an experiment comparing
three different treatment conditions:
A B C
0 1 2 N = 15
2 5 5 ?X2 = 354
1 2 6
5 4 9
2 8 8
T =10 T = 20 T = 30
SS = 14 SS= 30 SS= 30
a. If the experiment uses an independent-measures
design, can the researcher conclude that the
treatments are significantly different? Test at
the .05 level of significance.
b. If the experiment is done with a repeated measures design, should the researcher conclude that the treatments are significantly different? Set alpha at .05 again.
c. Explain why the results are different in the analyses of parts a and b.
Answers
a. We reject the null hypothesis and conclude that at least one treatment has a different mean score from the other two. We do not know which specific treatments are different, but we know that the treatments are significantly different.
b. We reject the null hypothesis and conclude that at least one treatment has a different mean score from the other two.
c. The results are different in the analyses of parts a and b because the two designs have different assumptions. The independent-measures design assumes that the samples are independent of each other, while the repeated measures design assumes that the samples are related to each other. The repeated measures design is more powerful than the independent-measures design because it eliminates individual differences and increases the precision of the estimate of the population mean. Therefore, the repeated measures design is more likely to find significant differences between treatments than the independent-measures design.
a. If the experiment uses an independent-measures design, the researcher can conclude that the treatments are significantly different. Test at the .05 level of significance.
Let's use one-way ANOVA to determine if there is a significant difference between the mean scores of the three treatments. Here are the steps:Step 1: Identify null and alternative hypotheses.
Null Hypothesis: H0: μ1 = μ2 = μ3Alternative Hypothesis: Ha: At least one treatment has a different mean score from the other two.Step 2: Set the level of significance. Let α = 0.05.Step 3: Determine the critical value using the F-distribution table and degrees of freedom. Using a table, we find the critical value of F is 3.682.Step 4: Compute the test statistic. Using the formula for one-way ANOVA, we have:
\($F=\frac{SS_{between}}{df_{between}} \div \frac{SS_{within}}{df_{within}}$\)
where SSbetween and SSwithin are the sum of squares between and within groups, respectively; dfbetween and dfwithin are the degrees of freedom between and within groups, respectively.
\($F=\frac{30}{2} \div \frac{14}{12} = 10.71$\)
Step 5: Determine the p-value and compare it to α. The p-value for F(2, 12) = 10.71 is less than 0.05.
Therefore, we reject the null hypothesis and conclude that at least one treatment has a different mean score from the other two. We do not know which specific treatments are different, but we know that the treatments are significantly different.
b. If the experiment is done with a repeated measures design, the researcher should conclude that the treatments are significantly different. Set alpha at .05 again. Let's use the within-subjects ANOVA to determine if there is a significant difference between the mean scores of the three treatments. Here are the steps:
Step 1: Identify null and alternative hypotheses.
Null Hypothesis: H0: μ1 = μ2 = μ3
Alternative Hypothesis: Ha: At least one treatment has a different mean score from the other two.
Step 2: Set the level of significance. Let α = 0.05.
Step 3: Determine the critical value using the F-distribution table and degrees of freedom. Using a table, we find the critical value of F is 4.26.
Step 4: Compute the test statistic. Using the formula for within-subjects ANOVA, we have:
\($F=\frac{SS_{between}}{df_{between}} \div \frac{SS_{within}}{df_{within}}$ where SSbetween and SSwithin are the sum of squares between and within groups, respectively; dfbetween and dfwithin are the degrees of freedom between and within groups, respectively. $F=\frac{30}{2} \div \frac{14}{12} = 10.71$\)
Step 5: Determine the p-value and compare it to α. The p-value for F(2, 28) = 10.71 is less than 0.05.
Therefore, we reject the null hypothesis and conclude that at least one treatment has a different mean score from the other two.
C. Explain why the results are different in the analyses of parts a and b.
The results are different in the analyses of parts a and b because the two designs have different assumptions. The independent-measures design assumes that the samples are independent of each other, while the repeated measures design assumes that the samples are related to each other. The repeated measures design is more powerful than the independent-measures design because it eliminates individual differences and increases the precision of the estimate of the population mean. Therefore, the repeated measures design is more likely to find significant differences between treatments than the independent-measures design.
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Related Questions
All else constant, the shape of the t-distribution becomes flatter as the sample size increases.
Answers
Yes, that statement is correct. The shape of the t-distribution becomes flatter as the sample size increases.
The t-distribution is a probability distribution that is commonly used in statistical inference when the sample size is small or when the population standard deviation is unknown. It is similar to the normal distribution but has thicker tails.
As the sample size increases, the t-distribution approaches the shape of the standard normal distribution (i.e., the normal distribution with a mean of 0 and a standard deviation of 1). The standard normal distribution has a symmetrical and bell-shaped curve with finite tails.
Therefore, As the sample size increases, the t-distribution becomes closer to the standard normal distribution, which is flatter compared to the t-distribution with smaller sample sizes.
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A right cone has a slant height of 20 feet and the diameter of the base is 24 feet. Find the height of the right cone.
Answers
Step-by-step explanation:
Using Pythagoras theorem:
\( = \sqrt{{20}^{2} - {12}^{2} } \)
\( = \sqrt{400 - 144}\)
\( = \sqrt{256} \)
\( = 16\)
A number decreased by 14 is -46. Find the number.
Answers
Answer:
-60
Step-by-step explanation:
-46-14=-60
Answer:
-46-14=-60
Step-by-step explanation:
HELP PLEASE VERY URGENTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
Answers
Answer:
x=10
Step-by-step explanation:
we know that it is a straight line and if we add it up then it will be 180 degrees. So first we add them both up together
8x + 14 + 9x - 4 = 17x + 10 = 180
Then you want to separate the X's and the numbers
in this case you subtract 10 on both sides to get rid of the number on the left side so there is only X
17x+10=180
-10 -10
17x=170
than simplify
17x=170
/17 /17
x=10
what is 3 1/2 x 2 2/3
Answers
Answer:
ill answer it when im done with my homwork i see u need help buddy
Step-by-step explanation:
Answer:
Step-by-step explanation:
3 1/2 * 2 2/3 = 28/3= 9 1/3
hope this helped<3!!..
roombars corporation outstanding stock is 100 shares of $100, 11% cumulative nonparticipating preferred stock, and 2000 shares of $22 par value common stock. Roombar paid $1,600 cash dividends, during the year common stock holders received
Answers
The common stockholders received $0 in cash dividends during the year. The dividends paid were most likely all given to the preferred stockholders.
According to the given information, Roombars Corporation's outstanding stock is 100 shares of $100, 11% cumulative nonparticipating preferred stock, and 2000 shares of $22 par value common stock.
During the year, Roombars paid $1,600 in cash dividends. It is not specified how much the preferred stockholders received.
Investors who own preferred stock in a corporation receive their dividends before common shareholders in most cases. It implies that a corporation must pay all dividends to preferred shareholders before paying any to common shareholders. When there is more than one series of preferred stock, the preference to dividends is determined by the issuing date, with the oldest shares receiving the first preference.
Therefore, the $1,600 cash dividends paid by Roombars are likely to have gone to the preferred shareholders. It is because common stockholders received nothing until all of the dividends on the preferred stock have been paid.
In this situation, common stockholders received $0 in cash dividends during the year. The dividends paid were most likely all given to the preferred stockholders.
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Kendra types 72 words per minute. At this rate, how long will it take Kendra to complete a letter of 900 words?
A-12.5 minutes
B-18 minutes
C-43.2 minutes
D-64.8 minutes
Answers
900 ÷ 72 = 12.5 minutes
Thus the correct answer is option A .
The ratio of the perimeter is 7:10 what is x
Answers
The value of x from the information regarding the perimeter is 8.4.
What is ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
This indicates that you're dividing information A by B. For instance, the ratio will be 5/10 if A is 5 and B is 10
In this case, the ratio of the perimeters are identical. Therefore, this can be illustrated thus:
7/10 = x/12.
Cross multiply
10x = 7 × 12
10x = 84
Divide
x = 84 / 10
x = 8.4
The picture is attached.
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five friends by a package of 12 cookies and want to share them equally each friend will get 1/5 of the cookies how much will each friend get
Answers
Answer:
2.4 cookies
Step-by-step explanation:
Just divide
Over a 5-year period, a company reported annual profits of $8 million, $3 million, $2 million, and $9 million. In the fifth year, it reported a loss of $7 million. What was the mean annual profit?
Answers
Given
Annual profits of four years $8 million, $3 million, $2 million, and $9 million.
In the fifth year, it reported a loss of $7 million.
To find:
The mean annual profit.
Solution:
Formula for mean is:
\(\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}\)
Annual profits are $8 million, $3 million, $2 million, $9 million and -$7 million. Here negative sign represent loss.
So, the mean annual profit is:
\(\text{Mean}=\dfrac{8+3+2+9+(-7)}{5}\)
\(\text{Mean}=\dfrac{22-7}{5}\)
\(\text{Mean}=\dfrac{15}{5}\)
\(\text{Mean}=3\)
Therefore, the mean annual profit is $3 million.
next week your math teacher is giving a chapter test. the test will consist of 35 questions. some problems are worth 2 points and some problems are worth 4 points. there are 20 questions worth 2 points. how many problems of 4 points are on the test? answers
Answers
The chapter test from maths teacher will contain 15 questions of worth 4 points.
Let the number of questions having weightage of 4 marks be x. Now, we know that problems will only be worth 2 and 4 points. Also we know that some of these problems will be 35. Thus, let us form the equation.
20 + x = 35
Rewriting the equation according to x
x = 35 - 20
Performing subtraction on Right Hand Side of the equation
x = 15
Thus, there will be 15 questions of 4 points.of the maths test to be conducted next week.
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Three rectangular prisms each have a volume of 60 cubic inches. Complete the table to show the length, width, and height of each rectangular prism. Rectangular Prism Length (in) Width (in) Height (in) A inches 2 inches 5 inches B 5 inches inches 4 inches C 10 inches 2 inches inches Reset Next
Answers
For the three rectangular prisms, the measurements are -
A = 6 in × 2 in × 5 in
B = 5 in × 3 in × 4 in
C = 10 in × 2 in × 3 in
What is a rectangular prism?
Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom and four are lateral faces). The prism's faces are all rectangular in shape. There are three sets of identical faces as a result. A rectangular prism is often referred to as a cuboid because of its shape.
The volume of each rectangular prism is 60 in³.
For the rectangular prism A -
The measurement of width is - 2 inches
The measurement of height is - 5 inches
The formula for volume of a rectangular prism is -
Volume = length × width × height
Substitute the values into the equation -
60 = length × 2 × 5
60 = length × 10
length = 60/10
length = 6 inches
Therefore, the measurement of length is 6 inches.
For the rectangular prism B -
The measurement of length is - 5 inches
The measurement of height is - 4 inches
The formula for volume of a rectangular prism is -
Volume = length × width × height
Substitute the values into the equation -
60 = 5 × width × 4
60 = width × 20
width = 60/20
width = 3 inches
Therefore, the measurement of width is 3 inches.
For the rectangular prism C -
The measurement of length is - 10 inches
The measurement of width is - 2 inches
The formula for volume of a rectangular prism is -
Volume = length × width × height
Substitute the values into the equation -
60 = 10 × 2 × height
60 = height × 20
height = 60/20
height = 3 inches
Therefore, the measurement of height is 3 inches.
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find two positive numbers such that the sum of the first plus 5 times the second is 50 and their product is maximum. what is the maximum product for this situation?
Answers
The two numbers that satisfy the conditions of the problem are x = 25 and y = 5. The maximum product is xy = 25*5 = 125.
Let's call the two numbers we are looking for "x" and "y". We want to find two positive numbers such that:
x + 5y = 50 (the sum of the first number and five times the second number is 50)
xy is maximum (the product of the two numbers is maximum)
To solve this problem, we can use the method of substitution. From the first equation above, we can solve for one variable in terms of the other:
x = 50 - 5y
We can substitute this expression for x into the second equation:
xy = (50 - 5y)y
xy = 50y - 5y^2
This is a quadratic function in y. To find the maximum value of xy, we need to find the vertex of this parabola. The x-coordinate of the vertex is given by:
x = -b/(2a)
where a = -5 and b = 50. Substituting these values, we get:
y = -50/(2*(-5)) = 5
So, the second number we are looking for is y = 5. To find x, we can use the first equation:
x + 5y = 50
x + 25 = 50
x = 25
Therefore, the two numbers that satisfy the conditions of the problem are x = 25 and y = 5. The maximum product is xy = 25*5 = 125.
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Find the next two terms in each sequence. Write a formula for the n th term. Identify each formula as explicit or recursive. 5,8,11,14,17, ........
Answers
The next two terms of the given sequence are 20 and 23. And the the formula for finding the nth term of the given sequence is \(T_{n+1} = T_{n} + 3\).
According to the given question.
We have a sequence 5, 8, 11, 14, 17...
Since, the first term of the given sequence is 5.
The second term of the given sequence is 8.
The third term of the given sequence is 11.
Here, we can see that each term is 3 more tahn the previous term.
So, the next two terms i.e.
Fifth term = 17 + 3 = 20
Sixth term = 20 + 3 = 23
Therefore, the formula for finding the nth term of the given sequence is given by
\(T_{n+1} = T_{n} + 3\)
Hence, the next two terms of the given sequence are 20 and 23. And the the formula for finding the nth term of the given sequence is \(T_{n+1} = T_{n} + 3\).
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accidentally chose that but please help will give brainliest PLEASE
Answers
Answer:
The first chart
Step-by-step explanation:
when its set up as y = [5x] is 5 times x equals y, so going through each question, -2 x 5 = -10, -1 x 5 = -5, 0 x 5 = 0, 1 x 5 = 5, and 2 x 5 = 10
Bus Company A claims that it is typically on time 95% of the time While Bus
Company B has a record of being on time 47 days out of the 50 days that it
operates. Which bus company seems to be doing b
Answers
Therefore, based on the information given, it seems that Bus Company A is doing slightly better in terms of on-time performance.
Which bus company seems to be doing better?To determine which bus company seems to be doing better, we need to compare their on-time performance.
Bus Company A claims that it is typically on time 95% of the time. This means that out of 100 trips, it expects to be on time for 95 of them.
On the other hand, Bus Company B has a record of being on time 47 days out of the 50 days that it operates. This means that its on-time performance is:
47/50 = 0.94 or 94%
Comparing the two percentages,
we can see that Bus Company A claims to have a higher on-time performance (95%) than Bus Company B's actual on-time performance (94%). Bus Company B's on-time performance is based on actual data from 50 days of operation.
Therefore, based on the information given, it seems that Bus Company A is doing slightly better in terms of on-time performance.
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Complete question:
Bus Company A claims that it is typically on time 95% of the time While Bus
Company B has a record of being on time 47 days out of the 50 days that it
operates. Which bus company seems to be doing better?
You roll a fair number cube and flip a coin at the same time. What is the probability that you roll a 5 and flip a heads?
Answers
Answer:
probably of a head= 1/2
probably of a multiple of 3 (either 3 or 6)= 2ways*1/6 as 1/6 is the prob of any one side
Step-by-step explanation:
Answer:
1/12 or 8.3%
Step-by-step explanation:
To find probability, mark the how many sides you are testing in your probability over the possible outcomes.
Die: 1 side out of 6 sides is the test = 1/6 probability abt. 16%
Coin: 1 side out of 2 sides is the test = 1/2 probability 50%
To find total probability of getting a 5 on the die and a heads on the coin is found by multiplying the two fractions together.
1/6 x 1/2 = 1/12
abt. 16% x 50% = abt. 8%
Pls help answer this
Answers
Answer:
You didn't ask anything.
Please help me I already figured out the answer I just need the blanks answered.
Answers
The value of x in the equation is 23.
How to solve equation?46 / x = 2
The equation above have one solution because the value of x is a single value.
46 / x = 2
cross multiply
2x = 46
divide both sides by 2
2x / 2 = 46 / 2
x = 23
A value of x that makes an equation true is 23, which when substituted into the equation and simplified makes the equation turn into x = 23.
A value of x that makes an equation false is 46, which when substituted into the equation and simplified makes the equation turn into x = 46.
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what is the surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 24 meters
Answers
The surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 24 meters is 1,670.5 square meters.
The surface area of a cone is calculated using the following formula:
Surface area = πr² + πrl, where π is approximately equal to 3.14, r is the radius of the base of the cone, and l is the slant height of the cone.
In this problem, we are given that the height of the cone is 42 meters and the diameter of the base is 24 meters. The radius of the base is half of the diameter, so the radius is 12 meters. The slant height of the cone can be calculated using the Pythagorean theorem.
l² = 12² + 42²
l² = 1764
l = 42.01 meters
The surface area of the cone is then calculated as follows:
Surface area = πr² + πrl
Surface area = 3.14 * 12² + 3.14 * 12 * 42.01
Surface area = 1,670.5 square meters
Here are some additional explanations:
The radius of a circle is the distance from the center of the circle to any point on the edge of the circle.The slant height of a cone is the distance from the vertex of the cone to any point on the edge of the base of the cone.The surface area of a cone is calculated by adding the area of the base of the cone and the area of the lateral surface of the cone.The area of the base of a cone is calculated using the formula πr².The area of the lateral surface of a cone is calculated using the formula πrl.To know more about area click here
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Light travels at 300,000 km/s, how long would it take to travel from the sun which is 148800000 km away
Answers
Answer:
496 seconds
Step-by-step explanation:
148800000 ÷ 300000 = 496
pleaseeee help with #3 !!!!
Answers
Answer:
16
Step-by-step explanation:
\(8=\sqrt{4x} \\ \\ 64=4x \\ \\ x=16\)
CAN SOMEONE PLEASEEE HELP SIMPLIFY THESE TWO EXPONENT PROBLEMS I HAVE NO CLUE HOW
Answers
Answer:
20. \(-\frac{y^{12} }{9x^{4} }\)
Step-by-step explanation:
21. \(3 x^{2} y^{2}\)
A small fruit basket with 6 apples and 6 oranges costs $7.50. A different fruit basket with 10 apples and 5 oranges costs $8.75. If x is the cost of one apple and y is the cost of one orange, the system of equations below can be used to determine the cost of one apple and one orange.
6x+6y=7.50
10x+5y=8.75
What is the cost of one apple?
0.25
0.5
0.75
1.00
also to whomever reading ths, HAVE A GREAT DAY!!! go drink some water and take a break too!! <3
Answers
(and .75 for an orange)
tape<33333333333333333333333333333333333333333333
:) :) :) :) :) :) :) :) :) :) :) :) :) :0 :) :) :) :) :) :) :) :) :) :) :) :) : ): : )
Answers
Answer:
tape
Step-by-step explanation:
tape is tape
Tom makes $273.60 in 6 days. How much does he make in 4 days?
Answers
Answer:
Step-by-step explanation:
$105.20
What is 75.83 written in expanded form?
Answers
Answer:
Step-by-step explanation:
70+5+0.8+0.03
Solve 5x+ c = k for x.
A. X = k + c over 5
B. X= k - c over 5
C. x = 5(k+ c)
D. x = 5(k-c)
Answers
Answer:
x = (k-c)/5
Step-by-step explanation:
5x+ c = k
Subtract c from each side
5x+ c-c = k-c
5x = k-c
Divide each side by 5
5x/5 = (k-c)/5
x = (k-c)/5
Step-by-step explanation:
5x + c = k ( take "c" over to the otherside )
5x = k - c ( divide by 5 on both sides, to get rid of the 5 in 5x)
k - c
x = ----------
5
use property 8 to estimate the value of the integral.y tanxdx
Answers
Answer:
he value of the integral ∫ y tan(x) dx is y sin(x) + C.
Step-by-step explanation:
Property 8 of integrals states that if we have an integral of the form ∫ f(x) g'(x) dx, it can be rewritten as ∫ f(x) dg(x), where g(x) is an antiderivative of g'(x).
In this case, we have the integral ∫ y tan(x) dx. By applying Property 8, we can rewrite it as ∫ y d(sin(x)).
Now, integrating with respect to y while treating sin(x) as a constant, we get:
∫ y d(sin(x)) = y sin(x) + C,
where C is the constant of integration.
So, using Property 8, the value of the integral ∫ y tan(x) dx is y sin(x) + C.
How many milliliter in 1 microliter?
Answers
From the given information provided, by converting the units there are 0.001 milliliters in 1 microliter.
This means that if you have 1 microliter of liquid, it is equal to 0.001 milliliters of liquid.
The conversion factor between milliliters (mL) and microliters (μL) is:
1 mL = 1000 μL
Therefore, to convert microliters to milliliters, you divide the number of microliters by 1000.
For example, if you have 500 μL of liquid, you can convert it to milliliters by dividing 500 by 1000:
500 μL / 1000 = 0.5 mL
So, 500 microliters of liquid is equal to 0.5 milliliters of liquid.
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