Basic Business Statistics
14th Edition
ISBN: 9780134684840
Author: BERENSON, Mark L., Levine, David M., Szabat, Kathryn A.
Publisher: Pearson,
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Textbook Question
Chapter 8, Problem 67PS
The manufacturer of Boston and Vermont asphalt shingles knows that product weight a major factor in a customer’s perception of quality. The last stage of the assembly line packages the shingles before they are placed on wooden pallets. Once a pallet is full (a pallet for most brands holds 16 squares of shingles), it is weighed, and the measurement is recorded. The file Pallet contains the weight (in pounds) from a sample of 368 pallets of Boston shingles and 330 of Vermont shingles.
a. For the Boston shingles, construct a
b. For the Vermont shingles, construct a
c. Do you think the assumption needed to construct the confidence interval estimates in (a) and (b) is vaild?
d. Based on the result of (a) and (b), what conclusions can you reach concerning the mean weight of the Boston and Vermont shingles?
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Students have asked these similar questions
(a) Test the hypothesis.
Consider the hypothesis test Ho
=
:
against H₁o < 02. Suppose that the sample sizes aren₁ =
7 and n₂
= 13 and that
$²
= 22.4 and $22
= 28.2. Use α = 0.05.
Ho
is not
✓ rejected.
9-9
IV
(b) Find a 95% confidence interval on of 102. Round your answer to two decimal places (e.g. 98.76).
Let us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a
university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when
examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both
sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force
for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known.
Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null
hypothesis, 40 = 0. What level of type II error would you recommend here?
Round your answer to four decimal places (e.g. 98.7654). Use a
= 0.05.
β
= i
What sample size would be required?
Assume the sample sizes are to be equal.…
=
Consider the hypothesis test Ho: μ₁ = μ₂ against H₁ μ₁ μ2. Suppose that sample sizes are n₁ =
15 and n₂ =
15, that x1 = 4.7
and X2 = 7.8 and that s² = 4 and s² = 6.26. Assume that o and that the data are drawn from normal distributions. Use
απ 0.05.
(a) Test the hypothesis and find the P-value.
(b) What is the power of the test in part (a) for a true difference in means of 3?
(c) Assuming equal sample sizes, what sample size should be used to obtain ẞ = 0.05 if the true difference in means is - 2? Assume
that α = 0.05.
(a) The null hypothesis is
98.7654).
rejected. The P-value is 0.0008
(b) The power is 0.94
. Round your answer to four decimal places (e.g.
Round your answer to two decimal places (e.g. 98.76).
(c) n₁ = n2 =
1
. Round your answer to the nearest integer.
Chapter 8 Solutions
Basic Business Statistics
Ch. 8 - If X=85, =8,andn=64, construct a 95 confidence...Ch. 8 - If X=125,=24,andn=36, construct a 99 confidence...Ch. 8 - Why is it not possible in Example 8.1 on page 280...Ch. 8 - Is it true in Example 8.1 on page 280 that you do...Ch. 8 - A market researcher selects a simple random sample...Ch. 8 - Suppose that you are going to collect a set of...Ch. 8 - Consider the confidence interval estimate...Ch. 8 - You are working as an assistant to the dean of...Ch. 8 - A bottled water distributor wants to estimate the...Ch. 8 - The operations manager at a light emitting diode...
Ch. 8 - If X=75,S=24,andn=36, and assuming that the...Ch. 8 - Determine the critical value of t in each of the...Ch. 8 - Assuming that the populations is normally...Ch. 8 - Assuming that the population is normally...Ch. 8 - A marketing researcher wants to estimate the mean...Ch. 8 - A survey of nonprofit organizations showed that...Ch. 8 - The U.S. Department of Transportation requires...Ch. 8 - The file FastFood contains the amount that a...Ch. 8 - The file AirportRating contains the rating of...Ch. 8 - The annual NFL Super Bowl is the most widely...Ch. 8 - Is there a difference in the yields of different...Ch. 8 - One of the major measures of the quality of...Ch. 8 - A manufacturing company produces electric...Ch. 8 - The file MobileCommerce contains mobile commerce...Ch. 8 - One operation of a mill is cut pieces of steel...Ch. 8 - Ifn=200andX=50, Construct a 95 confidence interval...Ch. 8 - ifn=400andX=25, Construct a 99 confidence interval...Ch. 8 - A cellphone provider has the business objective of...Ch. 8 - In a survey of 1,003 adults concerning complaints...Ch. 8 - What do you value most when shopping in a retail...Ch. 8 - In a survey of 823 human resource professionals...Ch. 8 - A Pew Research Center survey of 4,787 adults found...Ch. 8 - What business, economic, policy and environmental...Ch. 8 - If you want to be 95 confident of estimating the...Ch. 8 - If you want to be 99 confident of estimating of...Ch. 8 - If you want to be 99 confident of estimating the...Ch. 8 - If you want to be 95 confident of estimating the...Ch. 8 - A survey is planned to determine the mean annual...Ch. 8 - If the manager of a bottled water distributor...Ch. 8 - If a light bulb manufacturing company wants to...Ch. 8 - If the inspection division of a county weights and...Ch. 8 - An advertising media analyst wants to estimate the...Ch. 8 - An advertising media analyst wants to estimate the...Ch. 8 - A growing niche in the restaurant business is...Ch. 8 - What does brand loyalty mean to consumers?...Ch. 8 - A Federal Reserve Bank of Atlanta report looks at...Ch. 8 - In a study of 443 nonprofits nationwide, 130...Ch. 8 - Cybersecurity is a critical business issue that...Ch. 8 - Personal data is the new currency of the digital...Ch. 8 - Why can you never really have 100 confidence of...Ch. 8 - When should you use the t distribution to develop...Ch. 8 - Why is it true that for a given sample size, n an...Ch. 8 - Why is the sample size needed to determine the...Ch. 8 - GlobalWablndex study noted the percentage of...Ch. 8 - How do smartphone owners use their smartphones...Ch. 8 - A market researcher for a consumer electronics...Ch. 8 - An information technology (IT) provider of cloud...Ch. 8 - The human resource (HR) director of a large...Ch. 8 - A national association devoted to HR and workplace...Ch. 8 - The financial impact of IT system downtime is a...Ch. 8 - The branch manager of an outlet (Store 1) of a...Ch. 8 - Scarlett and Heather, the owners of an upscale...Ch. 8 - The manufacturer of Ice Melt claims that its...Ch. 8 - Claims fraud (illegitimate claims) and buildup...Ch. 8 - A quality characteristic of interest for a...Ch. 8 - Call centers today play an important role in...Ch. 8 - The manufacturer of Boston and Vermont asphalt...Ch. 8 - The manufacturer of Boston and Vermont asphalt...Ch. 8 - Referring to the results in Problem 8.66...
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