Loose Leaf for Statistical Techniques in Business and Economics
17th Edition
ISBN: 9781260152647
Author: Douglas A. Lind
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 19, Problem 33CE
Eric’s Cookie House sells chocolate chip cookies in shopping malls. Of concern is the number of chocolate chips in each cookie. Eric, the owner and president, would like to establish a control chart for the number of chocolate chips per cookie. He selects a sample of 15 cookies from today’s production and counts the number of chocolate chips in each. The results are as follows: 6, 8, 20, 12, 20, 19, 11, 23, 12, 14, 15, 16, 12, 13, and 12.
- a. Determine the centerline and the control limits.
- b. Develop a control chart and plot the number of chocolate chips per cookie.
- c. Interpret the chart. Does it appear that the number of chocolate chips is out of control in any of the cookies sampled?
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(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
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(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 19 Solutions
Loose Leaf for Statistical Techniques in Business and Economics
Ch. 19 - The Rouse Home, located on the south side of...Ch. 19 - Tom Sharkey is the owner of Sharkey Chevy, Buick,...Ch. 19 - Out of 110 diesel engines tested, a rework and...Ch. 19 - The manager of River City McDonalds randomly...Ch. 19 - Describe the difference between assignable...Ch. 19 - Describe the difference between an attribute...Ch. 19 - Samples of size n = 4 are selected from a...Ch. 19 - Samples of size 5 are selected from a...Ch. 19 - A new industrial oven has just been installed at...Ch. 19 - Refer to Exercise 7. a. On the basis of this...
Ch. 19 - Auto-Lite Company manufactures car batteries. At...Ch. 19 - Below is a p-chart for a manufacturing process. a....Ch. 19 - Inter-State Moving and Storage Company is setting...Ch. 19 - A bicycle manufacturer randomly selects 10 frames...Ch. 19 - During the process of producing toilet paper,...Ch. 19 - Sams Supermarkets monitors the checkout scanners...Ch. 19 - Dave Christi runs a car wash chain with outlets...Ch. 19 - Compute the probability of accepting a lot of DVDs...Ch. 19 - Determine the probability of accepting lots that...Ch. 19 - Determine the probability of accepting lots that...Ch. 19 - Warren Electric manufactures fuses for many...Ch. 19 - Grills Video Products purchases LCDs from Mira...Ch. 19 - The production supervisor at Westburg Electric...Ch. 19 - The manufacturer of running shoes conducted a...Ch. 19 - At Rumseys Old Fashion Roast Beef, cola drinks are...Ch. 19 - A new machine has just been installed to produce...Ch. 19 - Long Last Tire Company, as part of its inspection...Ch. 19 - Charter National Bank has a staff of loan officers...Ch. 19 - Prob. 25CECh. 19 - Early Morning Delivery Service guarantees delivery...Ch. 19 - An automatic machine produces 5.0-millimeter bolts...Ch. 19 - Steele Breakfast Foods Inc. produces a popular...Ch. 19 - An investor believes there is a 5050 chance that a...Ch. 19 - Lahey Motors specializes in selling cars to buyers...Ch. 19 - A process engineer is considering two sampling...Ch. 19 - Christina Sanders is a member of the womens...Ch. 19 - Erics Cookie House sells chocolate chip cookies in...Ch. 19 - The numbers of near misses recorded for the last...Ch. 19 - Prob. 35CECh. 19 - Swiss Watches, Ltd. purchases watch stems for...Ch. 19 - Automatic Screen Door Manufacturing Company...Ch. 19 - Prob. 38CE
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