1.A local pizza joint has recently hired additional drivers and claims that its average delivery time for orders is under 45 minutes. A random sample of 36 customer deliveries was examined and the average delivery time was found to be 42.3 minutes with a standard deviation of 11.6 minutes. The delivery time generally follows a Normal distribution.

a)Identify the parameter of interest. [2 marks]

b)Set up the null hypothesis and the alternative hypothesis. [2 marks]

c)Calculate the test statistic and find the p-value [2 marks]

d)Draw an appropriate conclusion using a 5% significance level. [2 marks]