A health specialist wants to determine the average number of hours a person exercises in a day during the quarantine period. She found out that the mean number of hours a person exercises in a day during the quarantine period is 80 minutes. A random sample of 29 persons were surveyed and found that their mean is 65 minutes and a standard deviation of 10 minutes. Test the hypothesis at 2% level of significance and assume that the population is normally distributed.

A health specialist wants to determine the average number of hours a person exercises in a day during the quarantine period. She found out that the mean number of hours a person exercises in a day during the quarantine period is 80 minutes. A random sample of 29 persons were surveyed and found that their mean is 65 minutes and a standard deviation of 10 minutes. Test the hypothesis at 2% level of significance and assume that the population is normally distributed.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 7PPS

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Question

2. A health specialist wants to determine the average number of hours a person
exercises in a day during the quarantine period. She found out that the mean number
of hours a person exercises in a day during the quarantine period is 80 minutes. A
random sample of 29 persons were surveyed and found that their mean is 65 minutes
and a standard deviation of 10 minutes. Test the hypothesis at 2% level of significance
and assume that the population is normally distributed.

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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