A random sample of 42 subjects were identified themselves as compulsive liars was obtained and given a questionnaire they had a mean score of 0.53 with a standard deviation of 0.16. test the claim that the population of self-identified compulsive buyers had a mean greater than the mean of 0.51 for the general population. Use a 0.05 significance level.

Find the z-score

Z=

(Round to four decimal places as needed)

Find the P-value.

The p-value is___

(Round to four decimal places as needed)