Use technology and the given confidence level and sample data to find the confid
ID: 3317548 • Letter: U
Question
Use technology and the given confidence level and sample data to find the confidence interval for the population mean . Assume that the population does not exhibit a normal distribution.
Weight lost on a diet: 99% confidence, n=41, x bar= 4.0 kg, s= 6.2 kg
What is the confidence interval for the population mean ?
? kg < mu < ? (Round to one decimal place)
Is the confidence interval affected by the fact that the data appear to be from a population that is not normally distributed?
A. Yes, because the sample size is not large enough.
B. No, because the population resembles a normal distribution.
C. Yes, because the population does not exhibit a normal distribution.
D. No, because the sample size is large enough.
Explanation / Answer
Ans:
n=41
df=41-1=40
critical t value for 99% CI and df=40 is 2.704
Confidence interval for population mean
=4+/-2.704*6.2/sqrt(41)
=4+/-2.6
=(1.4, 6.6)
Option D is correct(as n>=30)
D. No, because the sample size is large enough.
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