A. Construct the indicated confidence interval for the population mean u using t

Question

A. Construct the indicated confidence interval for the population mean u using the t-distribution. c=0.95, x=14.8, s=3.0, n=5
The 95% confidence interval using a t-distribution is.....

B. In a random sample of 21people, the mean commute time to work was 32.4 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a t-distribution to construct a

95 % confidence interval for the population mean mu. What is the margin of error of mu ?

Interpret the results. The confidence interval for the population mean mu is...

C. In a survey of 2647 adults, 1481 say they have started paying bills online in the last year.
Construct a 99% confidence interval for the population proportion. Interpret the results.
A 99% confidence interval for the population proportion is..

Explanation / Answer

(A) Confidence Interval : X +- t0.025,4(s/n0.5)

= (14.8+-2.776(3/50.5)) = (11.076,18.524)

(b) 95% CI = (32.4+-2.086(7.3/210.5)) = (29.077,35.723)

margin of error = +-3.323

(C) 99% CI : p = 1481/2647 = 0.56

CI = ((0.56)+-2.5758((0.56)(0.44)/2647)0.5

= (0.535,0.585)

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