Suppose a study reports that the average price for a kilogram of grapes is $3.16. You believe that the price is higher in your area of the country. You decide to test this claim by randomly calling grocery stores. Your random survey of 25 stores produces the following prices (all in $). Assume grape prices for a region are normally distributed. Does the data you obtained provide enough evidence to support your belief? Conduct a hypothesis test at 1% level of significance and clearly state your conclusion.
3.27 3.29 3.16 3.20 3.37
3.20 3.23 3.19 3.20 3.24
3.16 3.07 3.27 3.09 3.35
3.15 3.23 3.14 3.05 3.35
3.21 3.14 3.14 3.07 3.10