SOLUTION: The high temperatures (in degrees Fahrenheit) of a random sample of 9 small towns are: 98.4 99.4 97.7 99.3 97.9 99.7 97.2 98.2 96.6 Assume high temperatures are norma

Algebra ->  Probability-and-statistics -> SOLUTION: The high temperatures (in degrees Fahrenheit) of a random sample of 9 small towns are: 98.4 99.4 97.7 99.3 97.9 99.7 97.2 98.2 96.6 Assume high temperatures are norma      Log On


   

Question 1175467: The high temperatures (in degrees Fahrenheit) of a random sample of 9 small towns are:
98.4
99.4
97.7
99.3
97.9
99.7
97.2
98.2
96.6

Assume high temperatures are normally distributed. Based on this data, find the 95% confidence interval of the mean high temperature of towns. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place).
95% C.I. =

Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
   x̄ = 98.27     s = 1.049   n = 9
 95% confidence interval 
 t = 2.31   df8
ME= t%5Bn-1%5Ds%2Fsqrt%28n%29 = 2.31(1.049)/3 = .81
CI =  (97.46 , 99.08)
Wish You the Best in your Studies.