A sample of the various prices for a particular product has been conducted in 16 stores which were selected at random in a city. The following prices were noted, in GBP.

The prices of the product in pounds sterling are given in the below.

95,108,97,112,99,106,105,100,99,98,104,110,107,111,103,110

(a)Calculate a 95% confidence interval to estimate the actual mean price of the product in the city.(Statethis interval accurate to 1 decimal place)

Low Limit =

High Limit =

(6 marks)

(b)Is it reasonable to assume that the average price for this product is 100?Answer choices

Yes

No

State your reason for this(blank)

Answer choices

Because 100 is not contained within the CI

Because100 is contained within the CI

(2 marks)

(c)What size sample would need to be taken to estimate the population meanprice within 1 pound?

Sample size ,n=