A certain type of soda has 200 calories in a one liter bottle, on average. A small simple random sample of such bottles has the following calorie measurements: 202 \ \ 205 \ \ 201 \ \ 202 \ \ 198
Four out of five measurements are over 200. Test the null hypothesis that the average is 200 calories (assuming measurements are Normally distributed).
(a) What is the t-statistic? (Round to three decimal places.)
(b) What is the P-value? (Round to three decimal places; calculator required.)
(c) Are the data statistically significant?
A. Yes.
B. No.
(d) Are the data sufficient evidence against the 200 calorie claim?
A. Yes.
B. No.