Please answer the three empty boxes and "Perform a paired t test. Let μ1 be the population mean adindex rating for cola A and let μ2 be the population mean adindex rating for cola B. What are the null and alternative hypotheses?" To assess the effectiveness of a cola video ad for cola B, a random sample of 35 individuals from a target audience was selected to participate in a copy test. Participants viewed two ads, one of which was the ad being tested (cola B). Participants then answered a series of questionsabout how much they liked the ads. An adindex measure was created and shown in the accompanying table; the higher the adindex value, the more likeable the ad. State your findings and conclusions. Assume a= 0.05.Click the icon to view the data table of the adindex ratings.Compute the descriptive statistics. Find the mean of the adindex ratings for cola A.Data table of the adindex ratings73.49 (Round to two decimal places as needed.)Find the mean of the adindex ratings for cola B.Cola ACola BCola ACola BMean after workshops= 80.91 (Round to two decimal places as needed.)7994706569925989Find the mean of the difference of the adindex ratings for cola A and cola B. (Assume the difference to be the cola A data value minus the cola B data value)8293826780908782Mean of the difference =-7.43 (Round to two decimal places as needed.)7779606282946993Find the variance of the cola A adindex ratings.707683888285828679.32 (Round to two decimal places as needed.)7278597079856264Find the variance of the cola B adindex ratings.6593796681836867104.96 (Round to two decimal places as needed.)8374736773856071Find the variance of the difference of the adindex ratings for cola A and cola B.8884728678775988139.90 (Round to two decimal places as needed.)677580936191 Perform a paired t test. Let µ, be the population mean adindex rating for cola A and let u, be the population mean adindex rating for cola B. What are the null and alternative hypotheses?Data table of the adindex ratingsA. Ho: HD S0 (where Hp = H1 -H2)H1: HD > 0B. Ho: HD #0 (where Hp = H1 - H2)H1: HD = 0Cola ACola BCola ACola B79947065C. Ho: HD = 0 (where Hp = H1 - H2)H1: HD #0D. Ho: HD 20 (where µp = H1 - #2)H1: HD <069925989829382678090878277796062Determine the test statistic, tsTAT:8294699370768388tSTAT =(Round to two decimal places as needed.)8285828672785970Find the p-value for the test statistic.7985626465937966The p-value is81836867(Round to three decimal places as needed.)8374736773856071State your conclusion.8884728678775988Ho. Theresufficient evidence to conclude that the mean adindex ratings are higher for cola B than for cola A.677580936191

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Description: Please answer the three empty boxes and "Perform a paired t test. Let μ1 be the population mean adindex rating for cola A and let μ2 be the population mean adindex rating for cola B. What are the null and alternative hypotheses?" To assess the effec

Given that a random sample of size n=35 is chosen for which mean of the difference of the adindex…

Answered: Determine the test statistic, tstAT-…

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Please answer the three empty boxes and "Perform a paired t test. Let μ1 be the population mean adindex rating for cola A and let μ2 be the population mean adindex rating for cola B. What are the null and alternative hypotheses?"

To assess the effectiveness of a cola video ad for cola B, a random sample of 35 individuals from a target audience was selected to participate in a copy test. Participants viewed two ads, one of which was the ad being tested (cola B). Participants then answered a series of questions
about how much they liked the ads. An adindex measure was created and shown in the accompanying table; the higher the adindex value, the more likeable the ad. State your findings and conclusions. Assume a= 0.05.
Click the icon to view the data table of the adindex ratings.
Compute the descriptive statistics. Find the mean of the adindex ratings for cola A.
Data table of the adindex ratings
73.49 (Round to two decimal places as needed.)
Find the mean of the adindex ratings for cola B.
Cola A
Cola B
Cola A
Cola B
Mean after workshops
= 80.91 (Round to two decimal places as needed.)
79
94
70
65
69
92
59
89
Find the mean of the difference of the adindex ratings for cola A and cola B. (Assume the difference to be the cola A data value minus the cola B data value)
82
93
82
67
80
90
87
82
Mean of the difference =-7.43 (Round to two decimal places as needed.)
77
79
60
62
82
94
69
93
Find the variance of the cola A adindex ratings.
70
76
83
88
82
85
82
86
79.32 (Round to two decimal places as needed.)
72
78
59
70
79
85
62
64
Find the variance of the cola B adindex ratings.
65
93
79
66
81
83
68
67
104.96 (Round to two decimal places as needed.)
83
74
73
67
73
85
60
71
Find the variance of the difference of the adindex ratings for cola A and cola B.
88
84
72
86
78
77
59
88
139.90 (Round to two decimal places as needed.)
67
75
80
93
61
91

Perform a paired t test. Let µ, be the population mean adindex rating for cola A and let u, be the population mean adindex rating for cola B. What are the null and alternative hypotheses?
Data table of the adindex ratings
A. Ho: HD S0 (where Hp = H1 -H2)
H1: HD > 0
B. Ho: HD #0 (where Hp = H1 - H2)
H1: HD = 0
Cola A
Cola B
Cola A
Cola B
79
94
70
65
C. Ho: HD = 0 (where Hp = H1 - H2)
H1: HD #0
D. Ho: HD 20 (where µp = H1 - #2)
H1: HD <0
69
92
59
89
82
93
82
67
80
90
87
82
77
79
60
62
Determine the test statistic, tsTAT:
82
94
69
93
70
76
83
88
tSTAT =
(Round to two decimal places as needed.)
82
85
82
86
72
78
59
70
Find the p-value for the test statistic.
79
85
62
64
65
93
79
66
The p-value is
81
83
68
67
(Round to three decimal places as needed.)
83
74
73
67
73
85
60
71
State your conclusion.
88
84
72
86
78
77
59
88
Ho. There
sufficient evidence to conclude that the mean adindex ratings are higher for cola B than for cola A.
67
75
80
93
61
91

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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