Answered: a. Conduct the appropriate hypothesis…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Question

4. Diastolic blood pressure for diabetic women has a normal distribution with
unknown mean and a standard deviation equal to 10 mmHg. Researchers want
to know if the mean DBP of diabetic women is equal to the mean DBP among the
general public, which is known to be 76 mmHg. A sample of 10 diabetic women
is selected and their mean DBP is calculated as 85mmHg.

a. Conduct the appropriate hypothesis test at the 0.01 significance level.

b. What would a Type-1 error in example setting be?

c. How much power do you have to detect a difference of 11 mmHg between
men and women?

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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