Question: The NutritionStudy dataset includes a variable indicating the number of grams of fiber consumed per day by the participants. In the sample, the mean is

The NutritionStudy dataset includes a variable indicating the number of grams of fiber consumed per day by the participants. In the sample, the mean is 12.79 grams and the standard error for such means is SE = 0.30. The sample size of n = 315 is large enough to use a normal distribution.
(a) Find and interpret a 95% confidence interval for mean number of grams of fiber per day.
(b) Use a normal distribution to test whether there is evidence that mean number of grams of fiber is greater than 12. Give all details of the test.

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