numbers and statistics

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ZeZA

Mathematics

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Attached.

Running Header: Tolford V. The Automotive Shaft Company Case

TOLFORD V. THE AUTOMOTIVE SHAFT COMPANY CASE
Student’s Name
Professor’s Name
Course Title
Date

1

TOLFORD V. THE AUTOMOTIVE SHAFT COMPANY CASE
MEMORANDUM
TO: The Honorable Farah Hadi
FROM:
DATE:
SUBJECT: Tolford V. The Automotive Shaft Company Case
I am writing to inform you that after conducting the null hypothesis test that the average shaft
wear has a mean of 3.5 against the alternative hypothesis that the true mean is larger than 3.5, I
can support that the shaft wear is within the limit.
As an expert witness of this case, I conducted hypothesis test based on the given information,
and since the test statistic value is less than the critical value, the test fails to reject the null
hypothesis test conducted and therefore it is in order to conclude that the wear is indeed within
the limit. Kindly find the attached logical information of the same.
As delicate as this case may be, I am confident that you will be able to make a sound decision
based on the evidence provided. Please let me know if you have any question or concerns
regarding the logical information provided.
Thank you for your cooperation

2

TOLFORD V. THE AUTOMOTIVE SHAFT COMPANY CASE
Hypothesis Analysis
a) Given,
ẍ= 3.72
s= 1.25
n= 8
This implies that,
H0 : µ = 3.50
H1 : µ > 3.50
α = 0.05
And since the test statistic value < critical value, this test can be concluded that it fails to reject
the null hypothesis.
Therefore, β (ύ). Is true.
b)

σ = 1.25 , ύ = 4.00

Compute the type – ii error β (ύ).
β (ύ) = P(H0 is n...

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