Statistical Techniques in Business and Economics
18th Edition
ISBN: 9781260579611
Author: Douglas Lind; William Marchal; Samuel Wathen
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 10, Problem 4E
For Exercises 1–4, answer the questions: (a) Is this a one- or two-tailed test? (b) What is the decision rule? (c) What is the value of the test statistic? (d) What is your decision regarding H0? (e) What is the p-value? Interpret it.
4. A sample of 64 observations is selected from a normal population. The sample
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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 10 Solutions
Statistical Techniques in Business and Economics
Ch. 10 - Heinz, a manufacturer of ketchup, uses a...Ch. 10 - Prob. 2SRCh. 10 - For Exercises 14, answer the questions: (a) Is...Ch. 10 - Prob. 2ECh. 10 - Prob. 3ECh. 10 - For Exercises 14, answer the questions: (a) Is...Ch. 10 - For Exercises 58: (a) State the null hypothesis...Ch. 10 - For Exercises 58: (a) State the null hypothesis...Ch. 10 - For Exercises 58: (a) State the null hypothesis...Ch. 10 - For Exercises 58: (a) State the null hypothesis...
Ch. 10 - The mean life of a battery used in a digital clock...Ch. 10 - Given the following hypotheses: H0:10H1:10 A...Ch. 10 - Given the following hypotheses: H0:=400H1:400 A...Ch. 10 - The Rocky Mountain district sales manager of Rath...Ch. 10 - Prob. 12ECh. 10 - Prob. 13ECh. 10 - Most air travelers now use e-tickets. Electronic...Ch. 10 - Prob. 4SRCh. 10 - Given the following hypotheses: H0:20H1:20 A...Ch. 10 - Given the following hypotheses: H0:=100H1:100 A...Ch. 10 - The amount of water consumed each day by a healthy...Ch. 10 - The liquid chlorine added to swimming pools to...Ch. 10 - A Washington, D.C., think tank announces the...Ch. 10 - Hugger Polls contends that an agent conducts a...Ch. 10 - Prob. 5SRCh. 10 - Refer to Table 104 and the example just completed....Ch. 10 - Prob. 22ECh. 10 - Prob. 23ECh. 10 - Prob. 24ECh. 10 - According to the local union president, the mean...Ch. 10 - Rutter Nursery Company packages its pine bark...Ch. 10 - A new weight-watching company, Weight Reducers...Ch. 10 - Dole Pineapple Inc. is concerned that the 16-ounce...Ch. 10 - According to a recent survey, Americans get a mean...Ch. 10 - A statewide real estate sales agency, Farm...Ch. 10 - According to the Census Bureau, 3.13 people reside...Ch. 10 - A recent article in Vitality magazine reported...Ch. 10 - Prob. 33CECh. 10 - Prob. 34CECh. 10 - A recent study revealed the typical American...Ch. 10 - The postanesthesia care area (recovery room) at...Ch. 10 - www.golfsmith.com receives an average of 6.5...Ch. 10 - During recent seasons, Major League Baseball has...Ch. 10 - Watch Corporation of Switzerland claims that its...Ch. 10 - Listed below is the annual rate of return...Ch. 10 - Many grocery stores and large retailers such as...Ch. 10 - For a recent year, the mean fare to fly from...Ch. 10 - The publisher of Celebrity Living claims that the...Ch. 10 - A United Nations report shows the mean family...Ch. 10 - Prob. 45CECh. 10 - The American Water Works Association reports that...Ch. 10 - A cola-dispensing machine is set to dispense 9.00...Ch. 10 - The owners of the Westfield Mall wished to study...Ch. 10 - The following null and alternate hypotheses are...Ch. 10 - An insurance company, based on past experience,...Ch. 10 - A national grocers magazine reports the typical...Ch. 10 - Prob. 52DACh. 10 - Prob. 53DACh. 10 - Refer to the Lincolnville School District bus...
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