Question

G Commute times in the U.S. are h x + Hypothesis Test for a Populatio x ourse/a2/rest/assessement/deliver?context-b4f6cec30a0001dc699ac1b7bb3531eb&attempt-1 Countdown: Days:-o Time:-03:13:18 Due snouiu rerec uie uul 11ypuues15 D. There is evidence of a small effect on memory by her experimental treatment. Question 11 A group of 50 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have topoints in a typical week. The purpose of this study was to compare the drinking habits of the students at the college to the drinking habits of college students in general. In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his college in a typical week differs from the mean of U.S. college students in general, which is estimated to be 4.73. Type numbers in the boxes The group of 50 students in the study reported an average of 4.21 drinks per with a standard deviation of 3-43 drinks. Find the p-value for the hypothesis test. The p-ualue should be rounded to 4-decimal places. Question 12 Commute times in the U.S. are heavily skewed to the right. We select a random sample of 520 people from the 2000 U.S. Census who reported a non- so points Type nmbers in the boxes zero commute time.

Answer 1

Solution :

Given that,

Population mean = $\mu$ = 4.73

Sample mean = $\bar x$ = 4.21

Sample standard deviation = s = 3.43

Sample size = n = 50

This is a two tailed test.

The null and alternative hypothesis is,

Ho: $\mu$ $=$ 4.73

Ha: $\mu$ $\neq$ 4.73

The test statistics,

t = ( $\bar x$ - $\mu$ )/ (s/$\sqrt{n}$)

= ( 4.21 - 4.73 ) / ( 3.43 / $\sqrt{}$ 50 )

= -1.072

df = n - 1 = 49

P- Value = 0.2890