A manager at a Credit Union claims that the average total weekend withdrawal from a cash machine is $7,500. Head office is concerned that this estimate is too low. A random sample of total withdrawals on 36 weekends resulted in a sample mean of $9,100 and sample standard deviation of $3,700. At a 5% level of significance, can you conclude the average withdrawal should be greater than $7,500?

a) Properly state the hypotheses:

b) Calculate the p-value:

c) Conclusion:(Must be mathematically justified)