Question: 9 (a) A local restaurant is concerned about the time it takes for a customer to be served. A random sample of 64 orders is

(a) A local restaurant is concerned about the time it takes for a customer to be served. A random sample of 64 orders is taken by the restaurant. It is found that the mean waiting time is 3.57 minutes, with a standard deviation of 0.8 minutes. Based on 0.05 level of significance, is there evidence that the mean waiting time is different from 3.7 minutes?

(b) A sample of 100 children is taken by a store and the mean number of trips to the store is 5.47 and the sample standard deviation of the number of trips to the store is 1.6. Based on the critical value approach to hypothesis testing, test whether the population mean number of trips to the store is greater than 5 per week using a 1% level of significance.

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