Children in the United States account directly for $ 36 billion in sales annually. When their indirect influence over product decisions is considered, the total economic spending affected by children in the US is $ 290 billion. It is estimated that by age 10, a child makes an average of more than 5 trips per week to a store. Suppose that you want to prove that children in Los Angeles average more than 5 trips a week to a store. Let represent the population mean number of times children in Los Angeles make trips to a store.

a) State the null and the alternative hypotheses.

b) Explain the meaning of the Type I and Type II errors in the context of this scenario.

c) In Los Angeles, you take a sample of 100 children and find that 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. At the 0.01 level of significance, is there evidence that the population mean number of trips to the store is greater than 5 per week?