Use technology and the given confidence level and sample data to find the confid

Question

Use technology and the given confidence level and sample data to find the confidence interval for the population mean mu. Assume that the population does not exhibit a normal distribution.

Weight lost on a diet: 90% confidence n= 61 x= 2.0kg s=3.1kg

a.What is the confidence interval for the population mean ?

b.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 sample size is large enough.

C.No, because the population resembles a normal distribution.

D.Yes, because the population does not exhibit a normal distribution.

Explanation / Answer

Mean is 2 and s is 3.1

standard error is SE=s/sqrt(N)=3.1/sqrt(61)=0.3969

a) for 90% confidence, the z value is 1.65 , thus lower bound is mean-z*SE= 2-0.3969*1.65 =1.3451

upper bound is mean+z*SE= 2+0.3969*1.65 =2.655

b) C

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