A sanitation supervisor is interested in testing to see if mean amount of garbage per bin is different from 50. In random sample of 36 bins, the sample mean amount was 50.52 pounds and sample standard deviation was 3.7 pounds. Conduct the appropriate hypothesis test using a 0.1 level of significance.
a) Determine the test statistic? Give your answer to four decimal places.
b) Determine the P-value for the test? Give your answer to four decimal places.