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We wish to test the null hypothesis: the average amount of fat content in all single servings of Vivoli's hazelnut gelati is 20 grams vs. the alternative hypothesis: the average fat content in all single servings is more than 20 grams.
The fat content in each of 9 single servings of Vivoli's hazelnut gelati is measured. On average, these servings contained 22.6 grams of fat, with SD=3.4 grams. (You may assume that the amount of fat in single servings is normally distributed.)
a) Find the value of the test statistic.
b) Find the p-value.
c) According to your answer to (b), we should accept/reject (circle one) the null hypothesis.
Using the emperical rule solve the following problems for a distribution with a mean of 20 and a stardard diviation of 5. At least what percentage of the values will fall between 15 and 25.
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