The following data table contains the amounts that a sample of nine customers spent for lunch (in dollars) at a fast-food restaurant. XXXXXXXXXX XXXXXXXXXX9.96 a. At the 0.05 level of significance, is...

The following data table contains the amounts that a sample of nine customers spent for lunch (in dollars) at a fast-food restaurant.

4.22 4.95 5.89 6.55 7.25 7.67 8.46 8.56 9.96

a. At the 0.05 level of significance, is there evidence that the mean amount spent for lunch is different from $6.50?

b. Determine the p-value and interpret its meaning.

c. What assumption must you make about the population distribution in order to conduct the t test in (a) and (b)?

d. Since the sample size is nine, do you need to be concerned about the shape of the population distribution when conducting the t test in (a)? Explain.