(a) 90 percent confidence. (Round your answers to 4 decimal places.) The 90% con

Question

(a) 90 percent confidence. (Round your answers to 4 decimal places.)

The 90% confidence interval is from to

(b) 95 percent confidence. (Round your answers to 4 decimal places.)

The 95% confidence interval is from to

(c) 99 percent confidence. (Round your answers to 4 decimal places.)

The 99% confidence interval is from to

(d) Describe how the intervals change as you increase the confidence level.

The interval gets narrower as the confidence level increases. The interval gets wider as the confidence level decreases. The interval gets wider as the confidence level increases. The interval stays the same as the confidence level increases

Explanation / Answer

here std error of mean =std deviation/(n)1/2 =5/(15)1/2 =1.29

a)for 90% Confidence ; criitcal value of z =1.6449

therefoe 90 percent confidence interval=sample mean-/+ z*std error =34.8765 ; 39.1235

b)

for 95% Confidence ; criitcal value of z =1.96

therefoe 90 percent confidence interval=sample mean-/+ z*std error =34.4697 ; 39.5303

c)

for 99% Confidence ; criitcal value of z =2.5758

therefoe 90 percent confidence interval=sample mean-/+ z*std error =33.6746 ; 40.3254

d)

The interval gets wider as the confidence level increases.

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