Question

In: Statistics and Probability

a ) Find the margin of error for the given values of​ c, s, and n....

a ) Find the margin of error for the given values of​ c, s, and n. c = 0.80​, s = 6​, n = 15;

b ) Find the margin of error for the given values of​ c, s, and n. c = 0.98 s =2.1​, n =10;

c) Construct the indicated confidence interval for the population mean muμusing the​ t-distribution. Assume the population is normally distributed.c =0.90 x =14.9 s =3.0 n =10 The 90% confidence interval using a​ t-distribution is

d) Construct the indicated confidence interval for the population mean muμusing a​ t-distribution. c =0.98​, x = 109 s =10​, n =7

Solutions

Expert Solution

Part a_


Margin of Error =   
Margin of Error =

Margin of Error = 2.084

Part b)

Margin of Error =   

Margin of Error =

Margin of Error = 1.874

Part c)

Confidence Interval



Lower Limit =
Lower Limit = 13.161
Upper Limit =
Upper Limit = 16.639
90% Confidence interval is ( 13.161 , 16.639 )

Part d)

Confidence Interval



Lower Limit =
Lower Limit = 97.1218
Upper Limit =
Upper Limit = 120.8782
98% Confidence interval is ( 97.1218 , 120.8782 )


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