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 4.661 Observations 46 Hypothesized Mean df 150 45 t Stat 2.185 p = Ex 1.234 P(T<=t) one-tail t Critical one-tail 0.017 1.679 -3 -2 -1 P(T<=t) two-tail t Critical two-tail 0.034 2.014 t = Ex: 1.234 Confidence Level(95.0%) 0.641 What condition is met for the use of a t-distribution? Pick n = Ex: 5 I = Ex: 1.2 Degrees of freedom = Ex: 5 8 = Ex: 1.234
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 4.661 Observations 46 Hypothesized Mean df 150 45 t Stat 2.185 p = Ex 1.234 P(T<=t) one-tail t Critical one-tail 0.017 1.679 -3 -2 -1 P(T<=t) two-tail t Critical two-tail 0.034 2.014 t = Ex: 1.234 Confidence Level(95.0%) 0.641 What condition is met for the use of a t-distribution? Pick n = Ex: 5 I = Ex: 1.2 Degrees of freedom = Ex: 5 8 = Ex: 1.234
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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Please answer all parts in the same format as pictured. Last 3 answers were incorrect.
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Transcribed Image Text:CHALLENGE ACTIVITY
6.2.2: Relating confidence intervals to hypothesis testing (one sample).
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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
4.661
Observations
46
Hypothesized Mean
150
df
45
t Stat
2.185
p= Ex 1.234
P(T<=t) one-tail
t Critical one-tail
0.017
1.679
-3
-2
-1
1
P(T<=t) two-tail
t Critical two-tail
0.034
2.014
t = Ex: 1.234
Confidence Level(95.0%) 0.641
What condition is met for the use of a t-distribution? Pick
n = Ex: 5
x = Ex: 1.2
Degrees of freedom= Ex: 5
8 = Ex: 1.234
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