Answered: A study was done on body temperatures…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 59E

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Question

A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal.

a. The test statistic, t, is

(Round to two decimal places as needed.)

b. The P-value is

(Round to three decimal places as needed.)

c. Construct a confidence interval suitable for testing the claim that men have a higher mean body temperature than women.

less thanmu 1 minus mu 2 less than

(Round to three decimal places as needed.)

ESIX S
n
Men
H₁
11
97.51°F
0.75 F
Women
H₂
59
97.35°F
0.62°F

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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