Listed below are ages of actresses and actor at the times that they won Oscars for best actress or actor. The data are paired according to the years that they won. Use a 0.05 significance level to test the claim that the winner of the best actress Oscar is younger than the winner of the best actor Oscar. Actresses 28 32 27 27 26 24 25 29 41 40 27 42 33 21 35 Actors 62 41 52 41 34 40 56 41 39 49 48 56 42 62 29 a. Fill in the table with the appropriate signs. Actresses 28 32 27 27 26 24 25 29 41 40 27 42 33 21 35 Actors 62 41 52 41 34 40 56 41 39 49 48 56 42 62 29 Sign: nothing nothing nothing nothing nothing nothing nothing nothing nothing nothing nothing nothing nothing nothing nothing b. State Upper H 0 and Upper H 1 . A. Upper H 0 : Median of differences equals 0 comma Upper H 1 : Median less than 0 B. Upper H 0 : Median of differences equals 0 comma Upper H 1 : Median not equals 0 C. Upper H 0 : Median of differences equals 0 comma Upper H 1 : Median greater than 0 c. Calculate x and n and find the critical value x = nothing n = nothing Critical value = nothing d. State the technical conclusion. A. Reject Upper H 0 B. Do not reject Upper H 0 e. State the final conclusion. A. There is sufficient evidence to warrant rejection of the claim. B. There is not sufficient sample evidence to support the claim. C. There is not sufficient evidence to warrant rejection of the claim. D. The sample data support the claim. f. Do the winners of the best actress Oscar appear to be younger than the winners of the best actor Oscar?

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Description: Listed below are ages of actresses and actor at the times that they won Oscars for best actress or actor. The data are paired according to the years that they won. Use a 0.05 significance level to test the claim that the winner of the best actress Os

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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Listed below are ages of actresses and actor at the times that they won Oscars for best actress or actor. The data are paired according to the years that they won. Use a 0.05 significance level to test the claim that the winner of the best actress Oscar is younger than the winner of the best actor Oscar.

Actresses

26	24	25	29	41	40	27	42	33	21	35
Actors	62	41	52	41	34	40	56	41	39	49	48	56	42	62	29

a. Fill in the table with the appropriate signs.

Actresses

26	24	25	29	41	40	27	42	33	21	35
Actors	62	41	52	41	34	40	56	41	39	49	48	56	42	62	29
Sign:	nothing

nothing

b. State

Upper H 0

and

Upper H 1

Upper H 0 : Median of differences equals 0 comma Upper H 1 : Median less than 0

Upper H 0 : Median of differences equals 0 comma Upper H 1 : Median not equals 0

Upper H 0 : Median of differences equals 0 comma Upper H 1 : Median greater than 0

c. Calculate x and n and find the critical value

x =

nothing

n =

nothing

Critical value = nothing

d. State the technical conclusion.

Reject Upper H 0

Do not reject Upper H 0

e. State the final conclusion.

There is sufficient evidence to warrant rejection of the claim.

There is not sufficient sample evidence to support the claim.

There is not sufficient evidence to warrant rejection of the claim.

The sample data support the claim.

f. Do the winners of the best actress Oscar appear to be younger than the winners of the best actor Oscar?

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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