The random sample shown below was selected from a normal distribution 8,6,4,8,6,

Question

The random sample shown below was selected from a normal distribution 8,6,4,8,6,4 Complete parts a and b a. Construct a 95% confidence interval for the population mean . (Round to two decimal places as neaded.) b Assume tat sample mean x and sample standard deviation s remain exact ythe same asthose you just calculated but that are based on a sample on-25osenato s Repeat part a. What is the effect of increasing the sample size on the width of the confidence intervals? The confidence interval-D-D ( What is the effect of the sample size on the width of the confidence interval? (Round to two decimal places as needed.) O A As the sample size increases, the width increases B. As the sample size increases, the width decreases. OC. Asthe sample size increases, the width stays the same.

Explanation / Answer

a)

b)

As the sample size increases, the width decreases

For 95% CI, z value 1.96 Mean 6 s 1.7889 n 6 SE = s/sqrt(n) 0.7303 ME = z*SE 1.4314 Lower Bound = mean - Z*SE 4.5686 Upper Bound = mean + Z*SE 7.4314

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