According to my Fitbit, during winter quarter of 2020 (before the COVID-19 shutdown) from January 6, 2020, to March 15, 2020 (n1 = 10 weeks), I averaged 89,051.4 steps per week with a standard deviation of 8,015.2 steps per week. So far this quarter, from September 6 through October 17, (n2 = 6 weeks), I averaged 95,350.7 steps per week with a standard deviation of 7,994.6 steps per week.Conduct a two-sided test of the equality of variances for these two time periods at the .05 level. Be sure to clearly state the null and alternative hypotheses.Conduct a one-sided test of the equality of means for these two time periods at the .05 level. Be sure to clearly state the null and alternative hypotheses.Is the increase in my weekly walking activity this quarter compared to the last time I taught classes in person (winter quarter 2020) statistically significant?

Answered: According to my Fitbit, during winter…

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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Question

According to my Fitbit, during winter quarter of 2020 (before the COVID-19 shutdown) from January 6, 2020, to March 15, 2020 (n₁ = 10 weeks), I averaged 89,051.4 steps per week with a standard deviation of 8,015.2 steps per week. So far this quarter, from September 6 through October 17, (n₂ = 6 weeks), I averaged 95,350.7 steps per week with a standard deviation of 7,994.6 steps per week.
1. Conduct a two-sided test of the equality of variances for these two time periods at the .05 level. Be sure to clearly state the null and alternative hypotheses.
2. Conduct a one-sided test of the equality of means for these two time periods at the .05 level. Be sure to clearly state the null and alternative hypotheses.
3. Is the increase in my weekly walking activity this quarter compared to the last time I taught classes in person (winter quarter 2020) statistically significant?

Expert Solution

Step 1: Introduction

The hypothesis test is a statistical method in which one using the sample data try to check the hypothesis for the population parameter using the different statistical test available. The hypothesis test is an inference statistical tool.

The hypothesis test consist of null and alternate hypothesis and are tested to reject or fail to reject the null hypothesis. If the test statistics is in the rejection region then we reject the null hypothesis otherwise we fail to reject the null hypothesis.