2. For the following scenarios, if you were to construct a confidence interval,
ID: 3129110 • Letter: 2
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)
A. You want to estimate the proportion of students who own a Mac with 95% confidence. You take a simple random sample of 56 students.
B. You want to estimate the average weight of males with 98% confidence. You have a sample of 26 males.
C. You want to construct a 90% confidence interval for the mean number of credits completed by students. You take a random sample of 600 students.
D. You want to construct an 80% confidence interval for the proportion of registered voters who plan to vote for Candidate A. You take a random sample of 21 registered voters.
Explanation / Answer
Usually as a rule of thumb remember than for a sample<30,use the t test
For a sample size>30,use the Z test
a)sample size=56, Use Z test
95% conf interval : Hence Z*=1.96
b)sample size=26,Use t test
98% conf interval ,Hence t*=2.479
c)sample size=600,Use Z test
90% conf interval ,Hence Z*=1.65
d)Sample Size=21,Use t test
80% conf interval,Hence t*=1.323
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