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Julia the owner of a small unique restaurant called the Village Feed St e, is co

ID: 3259352 • Letter: J

Question

Julia the owner of a small unique restaurant called the Village Feed St e, is concerned with the waiting time for patrons on Sunday morning - the busiest day of the week. She is fearful that, though her establishment is extremely popular, excess waiting time will drive customers to Jenny, a restaurant down the street. The hostess insists that customers do not have to wait more than an average of 10 minutes before being seated, but Julia feels that the waiting time is longer. He takes a random sample of 100 customers over several Sundays. Assume that the population standard deviation = 12 minutes, and that the significance level  =0.05

H1 = ?

H0 = ?

Decision Rule in term of the sample mean?

Probability, of making a Type II error if the true mean is 14?

The power of the test?

Explanation / Answer

Null Hypothesis:

H0:average = 10 minutes

Alternative Hypothesis:

H1: average> 10 minutes
alpha=0.05:

Decision Rule in term of the sample mean

if p<0.05 reject Null hypothesis

if p>0.05 fail to reject Null hypothesis