SOLUTION: A university claims the following: 80% of their graduates find employment within 6 months. The mean number of job offers extended to their graduates is at least 3. The ave

Question 868522: A university claims the following:
80% of their graduates find employment within 6 months.
The mean number of job offers extended to their graduates is at least 3.
The average salary of their graduates is more than $65,000.
A survey of recent graduates was conducted to test these claims.
Answer the following questions in a text document. Show all the intermediate steps of the hypothesis test (claim, hypotheses, test statistic, p-value and decision OR claim, hypotheses, rejection region, test statistic, and decision).
Of the 400 respondents, 66 did not have a job within 6 months of graduation. Test the first claim using a level of significance of 0.05. Can you support the university�s claim?
Of the 400 respondents the mean number of job offers is 2.77 with a standard deviation of 2.108. Test the second claim using a level of significance of 0.01. Can you support the university�s claim?
Of the 334 respondents with jobs, the mean salary was $62,600 with a standard deviation of $7,400. Test the third claim using a level of significance of 0.05. Can you support the university�s claim?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
t = = .035/.0186 = 1.88 p(t > 1.88) = .0304
t = = -.03/.1054 = -.2846 p(t < -.2846) = .3880
t = = -2400/370 = -6.49 p(t < -6.49) = 0
first claim: do not accept at level of significance of 0.05
second claim: Accept
third claim: do not accept
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