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 5, Problem 40PS
The Consumer Financial Protection Bureau’s Consumer Response Team hears directly from consumer about the challenges they face in the marketplace, brings their concerns to the attention of financial institutions and assists in addressing their complaints. Of the consumers who registered a bank account and service complaint, 46% cited “account Management,� complaints related to the marketing or management of an account, as their complaint.
Consider a sample of 20 consumers who registered bank account and service complaints. Use the binomial model to answer the following questions:
a. What is the
b. What is the standard deviation of the binomial distribution?
c. What is the
d. What is the probability that no more than 5 of the consumers cited “account Management’ as the type of complaint?
e. What is the probability that 5 or more of the consumers cited “account management� as the type of complaint?
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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.
Consider the hypothesis test Ho:
=
622 against H₁: 6 > 62. Suppose that the sample sizes are n₁ =
20 and n₂ =
8, and that
=
4.5; s=2.3. Use a = 0.01.
(a) Test the hypothesis.
Round your answers to two decimal places (e.g. 98.76).
The test statistic is fo
=
i
The critical value is f =
Conclusion:
i
the null hypothesis at a = 0.01.
(b) Construct the confidence interval on 02/022 which can be used to test the hypothesis:
(Round your answer to two decimal places (e.g. 98.76).)
i
Chapter 5 Solutions
Basic Business Statistics
Ch. 5 - Given the following probability distributions. a....Ch. 5 - The following table contains the probability...Ch. 5 - Recently , a regional automobile dealership sent...Ch. 5 - In the carnival game Under-or -Over-Seven, a pair...Ch. 5 - The number of arrivals per minute at a bank...Ch. 5 - The manager of the commercial mortgage department...Ch. 5 - You are trying to develop a strategy for investing...Ch. 5 - You plan to invest $1,000 in a corporate bond fund...Ch. 5 - Determine the following:...Ch. 5 - Determine the mean and standard deviation of the...
Ch. 5 - The increase or decrease in the price of a stock...Ch. 5 - According to the Pew Research Center, 51 of...Ch. 5 - A student is taking a multiple-choice exam in...Ch. 5 - A manufacturing company regularly conducts quality...Ch. 5 - Past records indicates that the probability of...Ch. 5 - In Example 5.4 on page 209, you and two friends...Ch. 5 - In Example 5.4 on page 209, you and two friends...Ch. 5 - Assume a Poisson distribution....Ch. 5 - Assume a Poisson distribution....Ch. 5 - Assume a Poisson distribution with =5.0. What is...Ch. 5 - Assume that the number of airline customer service...Ch. 5 - The quality control manager of Marilyn’s Cookies...Ch. 5 - Refer to Problem 5.22. How many cookies in a batch...Ch. 5 - Prob. 24PSCh. 5 - The U.S Department of Transportation maintains...Ch. 5 - The Consumer Financial Protection Bureau’s...Ch. 5 - J.D. Power and Associates calculates and publishes...Ch. 5 - Refer to Problem 5.27. if you purchased a Toyota...Ch. 5 - A toll-free phone number is available from 9 A.M....Ch. 5 - Prob. 30PSCh. 5 - What are the four properties that must be present...Ch. 5 - Prob. 32PSCh. 5 - Darwin Head, a 35-year-old sawmill worker, won 1...Ch. 5 - Between 1896-when the Dow Jones index was...Ch. 5 - Smartphone adoption among American younger adults...Ch. 5 - One theory concerning the Dow jones industrial...Ch. 5 - Prob. 37PSCh. 5 - Prob. 38PSCh. 5 - Social log-ins involve recommending of sharing an...Ch. 5 - The Consumer Financial Protection Bureau’s...Ch. 5 - Refer to Problem 5.40. In the same time period,...Ch. 5 - One theory concerning the...Ch. 5 - Spurious correlation refers to the apparent...Ch. 5 - The United Auto Courts Reports blog notes that are...
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