Given the following hypothesis test for tire life having a normal population distribution: H : u = 30,000 miles Ha > 30,000 miles n = 16 σ = 1500 miles a = 0.01 = Follow the steps below to compute the probability of a Type II error if the actual population µ = 31,031.25 miles. That is, compute ẞ (31,031.25). Hint: the rough freehand sketch should help. 4 Do not reject Ho Area 0.99 A Reject Ho Area = 0.01 30,000 0 30,873.75 2.33 Raw values Z-scores Compute the relevant test statistic. Use the tables to find the appropriate p-value and compute ẞ (31,031.25).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Given the following hypothesis test for tire life having a normal population distribution:
H : u = 30,000 miles
Ha > 30,000 miles
n = 16
σ = 1500 miles
a = 0.01
=
Follow the steps below to compute the probability of a Type II error if the actual population µ =
31,031.25 miles. That is, compute ẞ (31,031.25). Hint: the rough freehand sketch should help.
4
Do not reject Ho
Area 0.99
A
Reject Ho
Area = 0.01
30,000
0
30,873.75
2.33
Raw values
Z-scores
Compute the relevant test statistic.
Use the tables to find the appropriate p-value and compute ẞ (31,031.25).
Transcribed Image Text:Given the following hypothesis test for tire life having a normal population distribution: H : u = 30,000 miles Ha > 30,000 miles n = 16 σ = 1500 miles a = 0.01 = Follow the steps below to compute the probability of a Type II error if the actual population µ = 31,031.25 miles. That is, compute ẞ (31,031.25). Hint: the rough freehand sketch should help. 4 Do not reject Ho Area 0.99 A Reject Ho Area = 0.01 30,000 0 30,873.75 2.33 Raw values Z-scores Compute the relevant test statistic. Use the tables to find the appropriate p-value and compute ẞ (31,031.25).
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