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 high.A random sample of total withdrawals on 36 weekends resulted in a sample mean of $6,500 and sample standard deviation of $2,300.At a 5% level of significance, can you conclude the average withdrawal should be less than $7,500?

a) Properly state the hypotheses:(1 mark)

b) Calculate the p-value:(3 marks)

c) Conclusion:(Must be mathematically justified in order to receive credit)(1 mark)