I need an answer for Part B. A survey was conducted at a supermarket to investig

Question

I need an answer for Part B.

A survey was conducted at a supermarket to investigate the relationship between the number of customers in the store and the waiting time, in minutes, at the checkout (defined as the time the customer enters tire line until he or she is served). A total of 32 observations were made. An analysis of variance of these data showed that b_1 =0.0997 and S_b_1 = 0.0247. Complete (a) and (b). At the 0.05 level of significance, is there evidence of a linear relationship between the number of customers and the waiting time on the checkout line? No, since t_STAT is greater than the upper critical value. No, since t_STAT is greater than the lower critical value. Yes, since t_STAT is greater than the lower critical value. Yes, since t_STAT is greater than the upper critical value. Construct a 95% confidence interval estimate of the population slope, beta_1. The 95% confidence interval is

Explanation / Answer

Given that b1 =0.0997

sb1 = 0.0247

t statistic =b/sb1 = 4.0365

df = n-2 = 30

p = .000345.
Reject null hypothesis that b1 =0

There is a linear relationship.

Option 4, is right.

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95% confidence interval

t critical = 2.042

Hence conf interval lower bound = 0.0997-2.042(0.0247)=0.049263

                               Upper bound = 0.0997+2.042(0.0247)=0.150137

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