A carpet company advertises that it will deliver your carpet within 15 days of p

Question

A carpet company advertises that it will deliver your carpet within 15 days of purchase. The Better Business Bureau believes this is false advertisement and thinks that the number of days that the mean number of days that they deliver is more than 15 days of the purchase. We want to create a significance test to test the Better Business Bureau’s claim.

a.Give the null (H0) and alternative (HA) hypotheses..

b.A sample of 49 past customers is taken. The average delivery time in the sample was 16.2 days. The standard deviation of the population () is known to be 5.6 days. Calculate the test statistic. . c.Calculate the p-value from the test statistic you calculated..

d.Give the decision of the test, use = 0.05.. e.Give the conclusion of the significance test. Has the carpet company given false advertisement?.

Explanation / Answer

Ho : miu = 15

Ha : miu > 15

Z = ( 16.2 - 15 ) / (5.6 / srqt 49 )

Z = 1.5

p value : 0.0668

since p value is greater than significance level we fail to reject Ho

conclusion the delvier carpet is no more than 15 days

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