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.
A department store accepts only its own credit card. Among 36 randomly selected card holders, it was found that the mean amount owed was $175.37, while the standard deviation was $84.77. Test the claim that the mean amount owed by all customers is greater than $150.00.