2. For the following scenarios, if you were to construct a confidence interval,

Question

2. For the following scenarios, if you were to construct a confidence interval, what would be the appropriate multiplier? (State whether z* or t* AND look up the number) (For the t multiplier use the t Table only, except if the degrees of freedom are not in the table—then use Minitab and show your output for that situation)         DO NOT ROUND OFF THE VALUES OF THE MULTIPLIERS.

A. You want to estimate the proportion of Penn State students who own a Mac with 95% confidence. You take a simple random sample of 56 Penn State students.

B. You want to estimate the average weight of male golden retrievers with 98% confidence. You have a sample of 26 male golden retrievers.

C. You want to construct a 90% confidence interval for the mean number of credits completed by students enrolled in STAT 200 this semester across all campuses. You take a random sample of 600 students.

D. You want to construct an 80% confidence interval for the proportion of registered Pennsylvanian voters who plan to vote for Candidate A. You take a random sample of   51 registered voters in Pennsylvania.

Explanation / Answer

A. You want to estimate the proportion of Penn State students who own a Mac with 95% confidence. You take a simple random sample of 56 Penn State students.

Z = 1.96

B. You want to estimate the average weight of male golden retrievers with 98% confidence. You have a sample of 26 male golden retrievers.

df = 25

alpha / 2 = 0.01

t = 2.485

C. You want to construct a 90% confidence interval for the mean number of credits completed by students enrolled in STAT 200 this semester across all campuses. You take a random sample of 600 students.

alpha = 1- 0.90 = 0.10

alpha /2 = 0.05

Z = 1.64

D. You want to construct an 80% confidence interval for the proportion of registered Pennsylvanian voters who plan to vote for Candidate A. You take a random sample of   51 registered voters in Pennsylvania.

alpha = 0.20

alpha / 2 = 0.10

Z = 1.28

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