A chain restaurant hires a new vice president with vast experience in the industry. The new vice president claims that based on his observations in the industry that if the company offers a rewards program to its diners then sales will increase by an average of at least $600 per restaurant per week. The executive management team decides to pilot a rewards program in a few areas and evaluate the impact after one year. Below are the sales changes (sales for the week compared to the same week the previous year) for a sample of restaurants. You can copy the data into Excel to complete this problem. There are 35 observations; be sure to copy all of them. a) To conduct a test of the vice president's claim the appropriate null hypothesis is the population mean does not equal 600. b) The point estimate for the mean change in sales is Select) c) The standard deviation for the change in sales is (Select) d) The estimated standard error for this problem is [Select] e) The appropriate test statistic for this problem is Select) f) The appropriate p-value for this hypothesis test is g) Based on your results and using a 0.05 level of significance for your test you [Select] the null hypothesis.
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Answer :

On solving the provided question, we can say that  - h1: μ < $600 and mean - 1/35 X 20307 = 580.2

What is null hypothesis ?

According to a well-known statistical theory known as the null hypothesis, there is no statistically significant association between any two sets of observable data and measurable events.

By putting X = sales change in $

Null hypothesis -

h0= μ ≥ $600

alternative hypothesis is

h1: μ < $600

where μ  is population mean change in sales per week

point estimate of mean change in sales  is

mean - 1/35 X 20307 = 580.2

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