The accompanying table lists the "attribute" ratings made by a random sample of participants in a speed dating session. Each attribute rating is the sum of the ratings of five attributes (sincerity, intelligence, fun, ambition, shared interests). Use a 0.05 significance level to test the claim that there is a difference between female attribute ratings and male attribute ratings. Rating of Male by Female Rating of Female by Male 35 26 28 43 30 50 35 36 24 42 23 36 34 21 36 41 33 40 40 45 46 35 40 30 49 34 35 33 34 36 48 40 28 31 40 36 38 44 37 33 31 31 28 29 34 30 40 40 36 31 40 32 30 44 34 38 31 38 35 25 27 35 23 25 43 36 50 40 34 36 36 29 33 44 37 36 40 30 35 34 36 34 30 28 47 52 35 36 47 28 36 33 38 42 33 33 39 37 36 32 31 17 30 28 28 26 40 31 30 35 35 39 44 48 33 38 27 39 30 42 45 42 28 21 35 33 46 29 29 33 32 29 28 39 41 35 50 53 34 43 30 28 27 43 30 24 34 32 20 36 41 30 40 34 41 34 41 36 36 43 38 25 51 43 34 35 36 39 43 47 26 33 38 43 27 34 31 40 37 26 38 42 35 38 32 23 30 31 49 36 37 34 37 29 35 28 42 48 30 33 In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the rating of the male minus the rating of the female. What are the null and alternative hypotheses for the hypothesis test? H0 : ud _ [ ] H1 : ud _ [ ] Identify test statistic: t = Identify P-value p= What is the conclusion based on the hypothesis test?

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Description: The accompanying table lists the "attribute" ratings made by a random sample of participants in a speed dating session. Each attribute rating is the sum of the ratings of five attributes (sincerity, intelligence, fun, ambition, shared interests).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The accompanying table lists the "attribute" ratings made by a random sample of participants in a speed dating session. Each attribute rating is the sum of the ratings of five attributes (sincerity, intelligence, fun, ambition, shared interests). Use a 0.05 significance level to test the claim that there is a difference between female attribute ratings and male attribute ratings.

Rating of Male by Female Rating of Female by Male
35 26
28 43
30 50
35 36
24 42
23 36
34 21
36 41
33 40
40 45
46 35
40 30
49 34
35 33
34 36
48 40
28 31
40 36
38 44
37 33
31 31
28 29
34 30
40 40
36 31
40 32
30 44
34 38
31 38
35 25
27 35
23 25
43 36
50 40
34 36
36 29
33 44
37 36
40 30
35 34
36 34
30 28
47 52
35 36
47 28
36 33
38 42
33 33
39 37
36 32
31 17
30 28
28 26
40 31
30 35
35 39
44 48
33 38
27 39
30 42
45 42
28 21
35 33
46 29
29 33
32 29
28 39
41 35
50 53
34 43
30 28
27 43
30 24
34 32
20 36
41 30
40 34
41 34
41 36
36 43
38 25
51 43
34 35
36 39
43 47
26 33
38 43
27 34
31 40
37 26
38 42
35 38
32 23
30 31
49 36
37 34
37 29
35 28
42 48
30 33

In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the rating of the male minus the rating of the female. What are the null and alternative hypotheses for the hypothesis test?

H0 : ud _____ [ ]

H1 : ud _____ [ ]

Identify test statistic:

t =

Identify P-value

What is the conclusion based on the hypothesis test?

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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