SOLUTION: Construct the indicated confidence interval for the population mean u using the​ t-distribution. Assume the population is normally distributed. c=​0.99, x=12.3 ​, s=4.0​

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Question 1173063: Construct the indicated confidence interval for the population mean u using the​ t-distribution. Assume the population is normally distributed.
c=​0.99, x=12.3 ​, s=4.0​, n=6
​(Round to one decimal place as​ needed.)
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi, 

c=​0.99, x=12.3 ​, s=4.0​, n=6

ME =

c=​0.99 , df = 6-1 = 5     critical value t score = 4.03  (Using an online t-score Calculator)

ME = 4.03*4.0 /sqrt(6) = 6.58

Confidence Interval:

12.3-6.6 < u < 12.3 + 6.6

12.3-6.6 < u < 12.3 + 6.6

5.7 < u < 18.9

Generally the confidence interval limits is rounded to the same number of decimal places as the sample standard deviation

Wish You the Best in your Studies. 

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