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10. From candy to jewelry to flowers, the average consumer was expected to spend $104.88 for Mothers Day in 2005, according to the Democrat & Chronicle article Mpms 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 Mothers Day and produced a sample mean amount of S9497. Ir σ = S29.66 does the sampio provide sufficient evidence to support the merchants claim at the 05 significance level? (a) Find z. (Give your answer correct to two decimal places) ) Find the p value. (Glve your answer correct to four decimal places (b) State the appropriate conclasion Reject the null hypothesis, there is not significant evidence to support the merchants claim Reject the nall hypothesis, there is significant evidence to support the merchants claim Fail to reject the nul hypothesis, there is significant evidence to support the merchants claim Fail to reject the nutl bypothesis, there is ot significant evidence to support the morchants claim You may need to use the appropriate table in Appendix B to answer this question.
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