The table below contains the amount that a sample of nine customers spent for lunch ($) at a fast-food restaurant. Complete parts a and b below.
4.87 5.08 5.84 6.14 7.32 7.58 8.22 8.67 9.33
a. Construct a 95% confidence interval estimate for the population mean amount spent for lunch at a fast-food restaurant, assuming a normal distribution. The % confidence interval estimate is from $??? to $???. (Round to two decimal places as needed.)
b. Interpret the interval constructed in (a). Choose the correct answer below.
A. We have 95% confidence that the mean amount in dollars spent for lunch at the fast-food restaurant for the sample is contained in the interval.
B. 95% of the sample data fall between the limits of this confidence interval.
C. The mean amounts in dollars spent for lunch at the fast-food restaurant of 95% of all samples of the same size are contained in the interval.
D. We have 95% confidence that the population mean amount in dollars spent for lunch at the fast-food restaurant is contained in the interval
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