Write the Null and the Alternative Hypothesis

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Are the population variances equal?

 

SKU: Stat544544

Problem 2

Shopping malls are more than places where we buy things. We go to shopping malls to watch movies, buy breakfast, lunch and dinner; exercise; meet friends; and, in general to socialize. To study the trends, a sociologist took a random sample of 100 shoppers and asked a variety of questions. This survey was first conducted 3 years ago with another sample of 100 shoppers. In both surveys, respondents were asked to report the number of hours they spend in malls during an average week. Can we conclude that the amount of time spent at malls has decreased over the past 3 years? To answer this questions please follow these steps:

1- Are the population variances equal?

a-Write the null and the alternative hypothesis.

b-What is the p-value of the test? Conclude.

2- Use the appropriate t-test based on your answer in question 1 to determine whether the amount of time spent at malls has decreased over the past 3 years.

a-Write the null and the alternative hypothesis.

b-What is the p-value of the test? Conclude.

Download (XLSX, 7KB)

Problem 3

To determine the effect of advertising in the Yellow pages, Bell Telephone took a sample of 40 retail stores that did not advertise in the yellow pages last year but did so this year. The annual sales (in thousands of dollars) for each store in both years were recorded  Can we infer that advertising in Yellow Pages improves sales?

a-Write the null and the alternative hypothesis.

b-Conclude using the Excel output.

Download (XLSX, 6KB)

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