Question

To receive full credit on the confidence intervals, you must show each of the following: a. The critical value (3 points) b. The margin of error (round answers to at least hundredths) (3 points) c. The minimum and maximum numbers of the interval (3 points each) To receive full credit on the interpretations, you must include information about the specific problem. When finding the sample size, remember to round all answers up to the next highest whole number.

Answer 1

4)

Given : $//img.homeworklib.com/questions/83dd69a0-a679-11ea-989d-550bb0b8a8d1.png?x-oss-process=image/resize,w_560$ = 93.2 , σ = 16.9 , n = 110 and confidence level = 0.98

α = 1- 0.98 = 0.02 , α/2 = 0.01 , So z_α/2 = 2.33

a) Confidence interval =

T士号 * 元

16.9 93.242.33 * - v110

98% confidence interval ( 89.45 , 96.95 )

b) We are 98% confident that the population mean time µ for computer repairs is between ( 89.45 , 96.95 )

5) Given : n = 56, x = 41 ,, confidence level = 0.90

α = 1- 0.90 = 0.1 , α/2 = 0.05 , So z_α/2 = 1.645

a)  $\hat{p}$ = 41/56 = 0.7321

b) Confidence interval =

p* (1-p) p/2*1

=

0.7321 *(1-0.7321) 0.7321 +1.645 +

90% confidence interval for P is ( 0.6347 , 0.8295 )