Basic Business Statistics, Student Value Edition (13th Edition)
13th Edition
ISBN: 9780321946393
Author: Mark L. Berenson, David M. Levine, Kathryn A. Szabat
Publisher: PEARSON
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Chapter 7, Problem 3PS
For each of the following three populations, indicate what the sampling distribution for sample of 25 would consist of.
a. Customer receipts for a supermarket for a year.
b. insurance payouts in a particular geographical area in a year.
c. Call center logs of inbound calls tracking handling time for a credit card company during the year.
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You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim. You randomly select 18
classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At α = 0.05, can you support the university's claim? Complete parts (a) through (d)
below. Assume the population is normally distributed.
36
28
25
27
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22
26
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24
30吋
24
(a) Write the claim mathematically and identify Ho and Ha.
Which of the following correctly states Ho and H₂?
○ A. Ho: μ31
Нa: μ≤31
E. Ho: "=31
Ha: μ 31
OF. Ho: μ=31
Нa: μ31
Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed.
μ
Claim: <4715; α = 0.05
Sample statistics: x = 4917, s = 5501, n = 54
What are the null and alternative hypotheses?
Ho:
Ha
(Type integers or decimals. Do not round.)
Find the standardized test statistic t.
t = ☐
(Round to two decimal places as needed.)
Find the P-value.
P =
(Round to three decimal places as needed.)
Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.
Ho. There
enough evidence at the ☐ % level of significance to
Fail to reject
Reject
....
the claim.
A politician claims that the mean salary for managers in his state is more than the national mean, $85,000. Assume the the population is normally distributed and the population standard deviation is
$8700. The salaries (in dollars) for a random sample of 30 managers in the state are listed. At α = 0.01, is there enough evidence to support the claim? Use technology.
92,421
81,412
85,143
97,220
99,317
71,884
97,762
86,108
98,385
73,869
81,391
95,997
98,828
86,476
77,893
74,995
90,472
81,330
92,183
94,649
77,880
91,821
90,907
84,640
78,479
81,703
89,573
89,948
70,938
81,300
(a) Identify the null hypothesis and alternative hypothesis.
O A. Ho: " =85,000
Нa: μ85,000
D. Hoi u >85,000
Нa: μ≤85,000
(b) Identify the standardized test statistic.
Z=
B. Hoμ≥85,000
Haμ85,000
Haμ≤85,000
(Round the final answer to two places as needed. Round all intermediate values to three places as needed.)
(c) Find the P-value. Use technology.
(Round to three decimal places as needed.)
(d) Decide whether to reject…
Chapter 7 Solutions
Basic Business Statistics, Student Value Edition (13th Edition)
Ch. 7 - Given a normal distribution with =100and=10, if...Ch. 7 - Given a normal distribution with =50and=5, if you...Ch. 7 - For each of the following three populations,...Ch. 7 - The following data represent the number of days...Ch. 7 - The diameter of a brand of tennis balls is...Ch. 7 - Prob. 6PSCh. 7 - According to a mashable post. time spent on...Ch. 7 - Today, full-time college students report spending...Ch. 7 - In a random sample of 64 people, 48 are classified...Ch. 7 - A random sample of 50 households was selected for...
Ch. 7 - The following data represent the responses (Y for...Ch. 7 - A political pollster is conducting an analysis of...Ch. 7 - You plan to conduct a marketing experiment in...Ch. 7 - Prob. 14PSCh. 7 - Prob. 15PSCh. 7 - Prob. 16PSCh. 7 - The Chartered Financial Analyst (CFA) institute...Ch. 7 - A Pew Research Center project on the state of news...Ch. 7 - Why is the sample mean an unbiased estimator of...Ch. 7 - Why does the standard error of the mean decrease...Ch. 7 - Why does the sampling distribution of the mean...Ch. 7 - What is the difference between a population...Ch. 7 - Under what circumstances does the sampling...Ch. 7 - An industrial sewing machine uses ball bearings...Ch. 7 - The fill amount of bottles of a soft drinks is...Ch. 7 - Prob. 26PSCh. 7 - In Problem 7.26, suppose that the mean amount of...Ch. 7 - Prob. 28PSCh. 7 - Prob. 29PS
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