Jump to level 1 An auto maker is interested in information about how long transmissions last. A sample of transmissions are run constantly and the number of miles before the transmission fails is recorded. The auto maker claims that the transmissions can run constantly for over 150,000 miles before failure. The results of the sample are given below. Miles (1000s of miles) Mean Variance Observations Hypothesized Mean 150.7 4.551 n= Ex: 5 42 150 df 41 t Stat 2.17 PIT<=t) one-tail 0.018 t Critical one-tail 1.683 P(T<=t) two-tail 0.036 t Critical two-tail 2.02 Confidence Level(95.0%) 0.665 Degrees of freedom = Ex: 5 x = Ex: 1.2 s Ex: 1.234 1 P= Ex: 1.234 2 t= Ex: 1.234

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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LLENGE
VITY
6.2.2: Relating confidence intervals to hypothesis testing (one sample).
20.3345432.qx3zqy7
Jump to level 1
An auto maker is interested in information about how long transmissions last. A sample of transmissions are run
constantly and the number of miles before the transmission fails is recorded. The auto maker claims that the
transmissions can run constantly for over 150,000 miles before failure. The results of the sample are given below.
Miles (1000s of miles)
Mean
Variance
150.7
4.551
42
150
df
41
t Stat
2.17
PIT<=t) one-tail
0.018
t Critical one-tail
1.683
P(T<=t) two-tail
0.036
t Critical two-tail
2.02
Confidence Level(95.0%) 0.665
Observations
Hypothesized Mean
n= Ex 5
Degrees of freedom = Ex: 5
-2
1
Ex: 1.2
s Ex: 1.234
0
1
P= Ex: 1.234
2
t= Ex: 1.234
Transcribed Image Text:LLENGE VITY 6.2.2: Relating confidence intervals to hypothesis testing (one sample). 20.3345432.qx3zqy7 Jump to level 1 An auto maker is interested in information about how long transmissions last. A sample of transmissions are run constantly and the number of miles before the transmission fails is recorded. The auto maker claims that the transmissions can run constantly for over 150,000 miles before failure. The results of the sample are given below. Miles (1000s of miles) Mean Variance 150.7 4.551 42 150 df 41 t Stat 2.17 PIT<=t) one-tail 0.018 t Critical one-tail 1.683 P(T<=t) two-tail 0.036 t Critical two-tail 2.02 Confidence Level(95.0%) 0.665 Observations Hypothesized Mean n= Ex 5 Degrees of freedom = Ex: 5 -2 1 Ex: 1.2 s Ex: 1.234 0 1 P= Ex: 1.234 2 t= Ex: 1.234
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