The table below contains the overall miles per gallon (MPG) of a type of vehicle. Complete...
The table below contains the overall miles per gallon (MPG) of a type of vehicle. Complete parts a and b below.
|
29 |
23 |
32 |
33 |
22 |
20 |
20 |
23 |
24 |
27 |
43 |
23 |
30 |
25 |
Construct a 99% confidence interval estimate for the population mean MPG for this type of vehicle, assuming a normal distribution. The 99% confidence interval estimate is from ___ MPG to ___ MPG.
(Round to one decimal place as needed.)
Homework Answers
Solution:- given that samples 29,23,32,33,22,20,20,23,24,27,43,23,30,25
X = 26.7143 , s = 6.281 , n = 14, df = n-1 = 13
99% confidence interval for the t-value = 3.012
99% confidence interval for the population mean = X +/-
t*s/sqrt(n)
= 26.7 +/- 3.012*6.23/sqrt(14)
= 21.7 , 31.8
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