A 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 150.7 Variance 4.551 Observations 42 Hypothesized Mean 150 df 41 t Stat 2.17 p = = Ex: 1.234 P(T<=t) one-tail 0.018 t Critical one-tail 1.683 1 2 3 P(T<=t) two-tail t Critical two-tail Confidence Level(95.0%) 0.665 0.036 t = Ex: 1.234 2.02 What condition is met for the use of at-distribution? v Pick The population is stated to be not skewed. n = Ex: 5 T = Ex: The sample size is larger than 30. Degrees of freedom = Ex: 5 s = Ex: 1.234

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A 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
150.7
Variance
4.551
Observations
42
Hypothesized Mean
150
df
41
t Stat
2.17
p= Ex: 1.234
P(T<=t) one-tail
0.018
t Critical one-tail
1.683
1
2
3
P(T<=t) two-tail
0.036
t = Ex: 1.234
t Critical two-tail
Confidence Level(95.0%) 0.665
2.02
What condition is met for the use of a t-distribution? v Pick
The population is stated to be not skewed.
n = Ex: 5
= Ex:
The sample size is larger than 30.
Degrees of freedom = Ex: 5
s = Ex: 1.234
Transcribed Image Text:A 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 150.7 Variance 4.551 Observations 42 Hypothesized Mean 150 df 41 t Stat 2.17 p= Ex: 1.234 P(T<=t) one-tail 0.018 t Critical one-tail 1.683 1 2 3 P(T<=t) two-tail 0.036 t = Ex: 1.234 t Critical two-tail Confidence Level(95.0%) 0.665 2.02 What condition is met for the use of a t-distribution? v Pick The population is stated to be not skewed. n = Ex: 5 = Ex: The sample size is larger than 30. Degrees of freedom = Ex: 5 s = Ex: 1.234
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