Historically, the time needed for college students to complete their degree follows a normal distribution with...

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Historically, the time needed for college students to completetheir degree follows a normal distribution with a mean of 4 yearsand a standard deviation of 1.2 years. You wish to see if the meantime m has changed in recent years, so you collectinformation from 5 recent college graduates.
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 4.25Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â Â Â 3.75Â Â Â Â Â Â 4.5 5
Is there evidence that the mean time is different from 4years?
a. Check the needed conditions for both the test statistic andconfidence interval. (Do not do a stemplot.)
b. State Ho and Ha
c. Calculate the test statistic (if applicable â€“ state thedegrees of freedom)
d. Find the p-value
e. What is the conclusion for this problem? Do you rejectHo?
f. Calculate the 98% confidence interval.
g. Interpret this confidence interval

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Solution Let X the time needed in years for college students to complete their degree We are given X N4 12 1 Part a Vide 1 the base variable follows Normal distribution That is the only condition for both the test statistic and confidence interval So the needed conditions are fulfilled Answer 1 Part b Hypotheses Null H0 0 40 Vs Alternative HA 40 Answer 2 See Answer

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