The owner of a swimming pool has been monitoring the number of customers during the month of January. Given that the pool has been open for 30 years, he is interested in evaluating what has happened in the last 10 years (you can assume that data belong to a normally distributed population). Specifically, historical data suggest that around 150 people used to register for swimming each January. However, it seems that, more recently, the average number of people registering for the swimming pool after winter festivities is around 148 with an associated variance of 10.2. The swimming pool owner would like to know if there has been a decrease in interest in swimming as an activity to stay fit. Please perform a hypothesis test for the population mean with a level of significance of 0.05 while answering the following questions. Answer the numerical questions to three decimal places of precision.
The owner of a swimming pool has been monitoring the number of customers during the month of January. Given that the pool has been open for 30 years, he is interested in evaluating what has happened in the last 10 years (you can assume that data belong to a normally distributed population). Specifically, historical data suggest that around 150 people used to register for swimming each January. However, it seems that, more recently, the average number of people registering for the swimming pool after winter festivities is around 148 with an associated variance of 10.2. The swimming pool owner would like to know if there has been a decrease in interest in swimming as an activity to stay fit. Please perform a hypothesis test for the population mean with a level of significance of 0.05 while answering the following questions. Answer the numerical questions to three decimal places of precision.
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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A)What are the null hypothesis and the alternative hypothesis?
B) What is the distribution that you will consider to compute the test statistic
C) What is the value of the test statistic.
Please explain in detail.
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