Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305445963
Author: PECK
Publisher: Cengage
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Chapter 10.5, Problem 60E
a.
To determine
State the reason for using z statistic in this context.
b.
To determine
Delineate Type I error and Type II error in this context.
c.
To determine
Find the value of
d.
To determine
Draw the graph of the sampling distribution of
e.
To determine
Find the probability of the Type II error (β) when
f.
To determine
Find the probability of the Type II error (β) when
g.
To determine
State the conclusion of the test if
Identify the type of error that might be made in reaching the stated conclusion.
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A photoconductor film is manufactured at a nominal thickness of 25 mils. The product engineer wishes to increase the mean speed of the film, and believes that this can be achieved by reducing the thickness of the film to 20 mils. Eight
samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square inch) is measured. For the 25-mil film, the sample data result is = 1.15 and 81 = 0.11, while for the 20-mil film,
the data yield 2 = 1.06 and 82 = 0.09. Note that an increase in film speed vould lower the value of the observation in microjoules per square inch.
(a) Do the data support the claim that reducing the film thickness increases the mean speed of the film? Use a = 0.10 and assume that the two population variances are equal and the underlying population of film speed is normally
distributed. What is the P-value for this test? Round your answer to three decimal places (e.g. 98.765).
The data
the claim that reducing the film…
A photoconductor film is manufactured at a nominal thickness of 25 mils. The product engineer wishes to
increase the mean speed of the film and believes that this can be achieved by reducing the thickness of the film to
20 mils. Eight samples of each film thickness are manufactured in a pilot production process, and the film speed
(in microjoules per square inch) is measured. For the 25-mil film, the sample data result is.x₁ = 1.15 and
S₁ = 0.11, while for the 20-mil film, the data yield 2 = 1.06 and s2 = 0.09. Note that an increase in film speed
would lower the value of the observation in microjoules per square inch.
Do the data support the claim that reducing the film thickness increases the mean speed of the film? Use
a = 0.10 and assume that the two population variances are equal and the underlying population of film speed is
normally distributed.
The appropriate decision for the test is to reject the null hypothesis
True
False
A medical student at a community college in city Q wants to study the factors affecting the systolic blood pressure of a person (Y). Generally, the systolic blood pressure depends on the BMI of a person (B) and the age of the person A. She wants
to test whether or not the BMI has a significant effect on the systolic blood pressure, keeping the age of the person constant. For her study, she collects a random sample of 150 patients from the city and estimates the following regression
function:
Y= 15.50 +0.90B + 1.10A.
(0.48) (0.35)
The test statistic of the study the student wants to conduct (Ho: B, =0 vs. H4: B, #0), keeping other variables constant is.
(Round your answer to two decimal places.)
At the 5% significance level, the student will
v the null hypothesis.
Keeping BMI constant, she now wants
test whether the age of a person (A) has no significant effect or a positive effect on the person's systolic blood pressure.
So, the test statistic associated with the one-sided test the…
Chapter 10 Solutions
Introduction to Statistics and Data Analysis
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