t Stat 2.17 p = -2 P(T<=t) one-tail 0.018 t Critical one-tail 1.683 -3 -2 -1 1 3 P(T<=t) two-tail 0.036 t Critical two-tail 2.02 t = Ex: 1.234 C Confidence Level(95.0%) 0.665 What condition is met for the use of a t-distribution? Pick n = Ex: 5 x = Ex: 1.2 Degrees of freedom = Ex: 5 s = Ex: 1.234C < > <>

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Author:Amos Gilat
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云
< >
R
LLI
CHALLENGE
6.2.2: Relating confidence intervals to hypothesis testing (one sample).
ACTIVITY
389226.2543846.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
150.7
Variance
4.551
Observations
42
Hypothesized Mean
150
df
41
t Stat
2.17
p = -2
P(T<=t) one-tail
t Critical one-tail
0.018
1.683
P(T<=t) two-tail
0.036
-3
2
3
1.
t Critical two-tail
2.02
t = Ex: 1.234
Confidence Level(95.0%) 0.665
What condition is met for the use of a t-distribution? Pick
n = Ex: 5
x = Ex: 1.2
Degrees of freedom = Ex: 5 C
s = Ex: 1.234C
%3D
1.
2.
3.
Check
MacBook Air
DD
F3
110
F4
F5
F8
LA
24
3
4.
80
Transcribed Image Text:云 < > R LLI CHALLENGE 6.2.2: Relating confidence intervals to hypothesis testing (one sample). ACTIVITY 389226.2543846.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 150.7 Variance 4.551 Observations 42 Hypothesized Mean 150 df 41 t Stat 2.17 p = -2 P(T<=t) one-tail t Critical one-tail 0.018 1.683 P(T<=t) two-tail 0.036 -3 2 3 1. t Critical two-tail 2.02 t = Ex: 1.234 Confidence Level(95.0%) 0.665 What condition is met for the use of a t-distribution? Pick n = Ex: 5 x = Ex: 1.2 Degrees of freedom = Ex: 5 C s = Ex: 1.234C %3D 1. 2. 3. Check MacBook Air DD F3 110 F4 F5 F8 LA 24 3 4. 80
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