Question

From candy to jewelry to flowers, the average consumer was expected to spend $104.69 for Mother's Day in 2005, according to the Democrat & Chronicle article "Mom's getting more this year" (May 7, 2005). Local merchants thought this average was too high for their area. They contracted an agency to conduct a study. A random sample of 56 consumers was taken at a local shopping mall the Saturday before Mother's Day and produced a sample mean amount of $94.4. If σ = $29.11, does the sample provide sufficient evidence to support the merchants' claim at the .05 significance level?

(a) Find z. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer correct to four decimal places.)

Answer 1