Question

A store owner surveyed 25 randomly selected customers and found the ages shown (in years). The mean is 32.36 and the standard deviation is 11.79. The owner wants to know f the mean age of all customers is 36 years old. Use the given information to complete parts a through . 14 12 18 22 16 42 48 44 28 40 41 3743 44 38 16 20 39 48 31 30 34 21 47 36 a) What is the null hypothesis? (Type an integer or a decimal.) b) Is the alternative one or two-sided? The alternative hypothesis is two-sided. c) What is the value of the test statistic? The test statistic is (Round to two decimal places as needed.) d) What is the P-value of the test statistic? P-value (Round to tour decimal places as needed.) c) What do you conclude at ? 0.10? The value is greater than a, so fail to reject the null hypothesis. There is insufficient evidence o concu e t at the mean age of all customers snot years old

Answer 1

h = 25, x = 32.36, r = 11.79. H_0: mu = 36 the alternative hypothesis is two-tailed test statistic: t = x - mu/s/ squareroot n Rightarrow t = 32.36 - 36/11.79/squareroot 25 = -1.54 p-value = 0.1235 The p-value is greater than alpha, so fail to reject the hypothesis. There is inefficient evidence to conclude that the mean age of all customers is not 36 years old.