Use a 0.05 significance level and conduct a full hypothesis test. List the null and alternative hypotheses, the z-score, the P-value, and whether to reject or not reject the null hypothesis. Round z-scores to the nearest tenth.
The National Association of Realtors reported that the mean selling price last year for homes in one city was $116,800. The city housing department feels that this figure is too low. They randomly selected 91 home sales and obtained a mean selling price of $117,900 and a standard deviation of $3700. Test the claim that the mean selling price was $116,800.