Listed below are the body temperatures of 10 healthy adults. Use a 0.05 significance level to test the claim that the median body temperature of all healthy adults equals 98.6 Temperature: 97.6 97.5 98.6 98.2 98.8 99.0 98.5 98.1 98.4 98.7 a. Fill in the table with the appropriate signs. Temperature: 97.6 97.5 98.6 98.2 98.8 99.0 98.5 98.1 98.4 98.7 Sign: b. State Upper H 0 and Upper H 1 . A. Upper H 0 : Median of differences equals 0 comma Upper H 1 : Median greater than 0 B. Upper H 0 : Median of differences equals 0 comma Upper H 1 : Median less than 0 C. Upper H 0 : Median of differences equals 0 comma Upper H 1 : Median not equals 0 c. Calculate x and n and find the critical value x = nothing n = nothing Critical value = nothing d. State the technical conclusion. A. Do not reject Upper H 0 B. Reject Upper H 0 e. State the final conclusion. A. There is not sufficient sample evidence to support the claim. B. The sample data support the claim. C. There is not sufficient evidence to warrant rejection of the claim. D. There is sufficient evidence to warrant rejection of the claim.

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 the body temperatures of 10 healthy adults. Use a 0.05 significance level to test the claim that the median body temperature of all healthy adults equals

98.6

Temperature: 97.6 97.5 98.6 98.2

98.8

99.0 98.5 98.1 98.4 98.7

a. Fill in the table with the appropriate signs.

Temperature: 97.6 97.5 98.6 98.2

98.8

99.0 98.5 98.1 98.4 98.7

Sign:

b. State

Upper H 0

and

Upper H 1

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

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

c. Calculate x and n and find the critical value

x =

nothing

n =

nothing

Critical value = nothing

d. State the technical conclusion.

Do not reject Upper H 0

Reject Upper H 0

e. State the final conclusion.

There is not sufficient sample evidence to support the claim.

The sample data support the claim.

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

There is sufficient evidence to warrant rejection of the claim.

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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