
Basic Business Statistics, Student Value Edition (13th Edition)
13th Edition
ISBN: 9780321946393
Author: Mark L. Berenson, David M. Levine, Kathryn A. Szabat
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 9, Problem 43PS
In Problem 9.42, what is your statistical decision if
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
2. Hypothesis Testing - Two Sample Means
A nutritionist is investigating the effect of two different diet programs, A and B, on weight loss. Two
independent samples of adults were randomly assigned to each diet for 12 weeks. The weight losses (in kg)
are normally distributed.
Sample A: n = 35, 4.8, s = 1.2
Sample B: n=40, 4.3, 8 = 1.0
Questions:
a) State the null and alternative hypotheses to test whether there is a significant difference in mean weight
loss between the two diet programs.
b) Perform a hypothesis test at the 5% significance level and interpret the result.
c) Compute a 95% confidence interval for the difference in means and interpret it.
d) Discuss assumptions of this test and explain how violations of these assumptions could impact the results.
1. Sampling Distribution and the Central Limit Theorem
A company produces batteries with a mean lifetime of 300 hours and a standard deviation of 50 hours. The lifetimes are not normally distributed—they are right-skewed due to some batteries lasting unusually long.
Suppose a quality control analyst selects a random sample of 64 batteries from a large production batch.
Questions:
a) Explain whether the distribution of sample means will be approximately normal. Justify your answer using the Central Limit Theorem.
b) Compute the mean and standard deviation of the sampling distribution of the sample mean.
c) What is the probability that the sample mean lifetime of the 64 batteries exceeds 310 hours?
d) Discuss how the sample size affects the shape and variability of the sampling distribution.
A biologist is investigating the effect of potential plant
hormones by treating 20 stem segments. At the end of
the observation period he computes the following length
averages:
Compound X = 1.18
Compound Y = 1.17
Based on these mean values he concludes that there are
no treatment differences.
1) Are you satisfied with his conclusion? Why or why
not?
2) If he asked you for help in analyzing these data, what
statistical method would you suggest that he use to
come to a meaningful conclusion about his data and
why?
3) Are there any other questions you would ask him
regarding his experiment, data collection, and analysis
methods?
Chapter 9 Solutions
Basic Business Statistics, Student Value Edition (13th Edition)
Ch. 9 - If you use a 0.005 level of significance in a...Ch. 9 - If you use a 0.05 level of significance in a...Ch. 9 - If you use a 0.10 level of significance in a...Ch. 9 - If you use a 0.01 level of significance in a...Ch. 9 - What is your decision in problem 9.4 if...Ch. 9 - What is the p -value if, in a two-tail hypothesis...Ch. 9 - In problem 9.6, what is your statistical decision...Ch. 9 - What is the p-value if, in a two -tail hypothesis...Ch. 9 - In the U.S. legal system, a defendant is presumed...Ch. 9 - Suppose the defendant in Problem 9.9 is presumed...
Ch. 9 - Many consumer groups feel that U.S. Food and Drug...Ch. 9 - As a result of complaints from both students and...Ch. 9 - Prob. 13PSCh. 9 - The quality-control manager at a compact...Ch. 9 - Suppose that in Problem 9.14, the standard...Ch. 9 - A bottled water distributor wants to determine...Ch. 9 - Suppose that in Problem 9.16, the standard...Ch. 9 - If, In a sample of n=16 selected from a normal...Ch. 9 - In Problem 9.18, how many degrees of freedom does...Ch. 9 - In Problem 9.18, 9.19, what are the Critical...Ch. 9 - In, Problem 9.18, 9.19, and 9.20, what is your...Ch. 9 - If, in a sample of n=16 selected from a...Ch. 9 - If, in a sample of n=160 selected from a...Ch. 9 - You are the manager of a restaurant for a...Ch. 9 - A manufacturer of chocolate candies uses machines...Ch. 9 - Prob. 26PSCh. 9 - The U.S. Department of Transportation requires...Ch. 9 - The file FastFood contains the amount that a...Ch. 9 - An insurance company has the business objective of...Ch. 9 - The following data (in Drink) represent the amount...Ch. 9 - One of the major measures of the quality of...Ch. 9 - A manufacturing company produces steel housings...Ch. 9 - One operation of a steel mill is to cut pieces of...Ch. 9 - In Problem 3.69 on page 156, you were introduced...Ch. 9 - Prob. 35PSCh. 9 - In a one-tail hypothesis test where you reject H0...Ch. 9 - In Problem 9.36, what is your statistical decision...Ch. 9 - In a one-tail hypothesis test where you reject H0...Ch. 9 - In Problem 9.38, what is your statistical decision...Ch. 9 - In a one-tail hypothesis test where you reject H0...Ch. 9 - In Problem 9.40, what is your statistical decision...Ch. 9 - In a one-tail hypothesis test where you reject H0...Ch. 9 - In Problem 9.42, what is your statistical decision...Ch. 9 - In a one-tail hypothesis test where you reject H0...Ch. 9 - In Problem 9.44, what is your statistical decision...Ch. 9 - Prob. 46PSCh. 9 - Prob. 47PSCh. 9 - Prob. 48PSCh. 9 - You are the manager of a restaurant that delivers...Ch. 9 - A survey of nonprofit organizations showed that...Ch. 9 - Prob. 51PSCh. 9 - If, a random sample of 400 items, 88 are...Ch. 9 - In Problem 9.52, if the null hypothesis is that 20...Ch. 9 - In Problem 9.52 and 9.53, suppose you are testing...Ch. 9 - Prob. 55PSCh. 9 - The worldwide market share for the Mozilla Firefox...Ch. 9 - One of the issues facing organizations Is...Ch. 9 - Prob. 58PSCh. 9 - A cellphone provider has the business objective of...Ch. 9 - Prob. 60PSCh. 9 - What is the difference between a null hypothesis,...Ch. 9 - What is the difference between a Type I error and...Ch. 9 - What is meant by the power of a test?Ch. 9 - What is the difference between a one -tail test...Ch. 9 - What is meant by a p-value?Ch. 9 - How can a confidence interval estimate for the...Ch. 9 - What is the six-step critical value approach to...Ch. 9 - What is the five-step p-value approach to...Ch. 9 - In hypothesis testing, the common level of...Ch. 9 - Financial institutions utilize prediction models...Ch. 9 - Prob. 71PSCh. 9 - The owner of a speciality coffee shop wants to...Ch. 9 - An auditor for a government agency was assigned...Ch. 9 - A bank branch located in a commercial district of...Ch. 9 - Call centers today play an important role in...Ch. 9 - An important quality characteristic used by the...Ch. 9 - Studies conducted by the manufacturer of Boston...Ch. 9 - The manufacturer of Boston and Vermont asphalt...Ch. 9 - Referring to the results of problems 9.76 through...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Businessarrow_forwardWhat is the solution and answer to question?arrow_forwardTo: [Boss's Name] From: Nathaniel D Sain Date: 4/5/2025 Subject: Decision Analysis for Business Scenario Introduction to the Business Scenario Our delivery services business has been experiencing steady growth, leading to an increased demand for faster and more efficient deliveries. To meet this demand, we must decide on the best strategy to expand our fleet. The three possible alternatives under consideration are purchasing new delivery vehicles, leasing vehicles, or partnering with third-party drivers. The decision must account for various external factors, including fuel price fluctuations, demand stability, and competition growth, which we categorize as the states of nature. Each alternative presents unique advantages and challenges, and our goal is to select the most viable option using a structured decision-making approach. Alternatives and States of Nature The three alternatives for fleet expansion were chosen based on their cost implications, operational efficiency, and…arrow_forward
- The following ordered data list shows the data speeds for cell phones used by a telephone company at an airport: A. Calculate the Measures of Central Tendency from the ungrouped data list. B. Group the data in an appropriate frequency table. C. Calculate the Measures of Central Tendency using the table in point B. 0.8 1.4 1.8 1.9 3.2 3.6 4.5 4.5 4.6 6.2 6.5 7.7 7.9 9.9 10.2 10.3 10.9 11.1 11.1 11.6 11.8 12.0 13.1 13.5 13.7 14.1 14.2 14.7 15.0 15.1 15.5 15.8 16.0 17.5 18.2 20.2 21.1 21.5 22.2 22.4 23.1 24.5 25.7 28.5 34.6 38.5 43.0 55.6 71.3 77.8arrow_forwardII Consider the following data matrix X: X1 X2 0.5 0.4 0.2 0.5 0.5 0.5 10.3 10 10.1 10.4 10.1 10.5 What will the resulting clusters be when using the k-Means method with k = 2. In your own words, explain why this result is indeed expected, i.e. why this clustering minimises the ESS map.arrow_forwardwhy the answer is 3 and 10?arrow_forward
- PS 9 Two films are shown on screen A and screen B at a cinema each evening. The numbers of people viewing the films on 12 consecutive evenings are shown in the back-to-back stem-and-leaf diagram. Screen A (12) Screen B (12) 8 037 34 7 6 4 0 534 74 1645678 92 71689 Key: 116|4 represents 61 viewers for A and 64 viewers for B A second stem-and-leaf diagram (with rows of the same width as the previous diagram) is drawn showing the total number of people viewing films at the cinema on each of these 12 evenings. Find the least and greatest possible number of rows that this second diagram could have. TIP On the evening when 30 people viewed films on screen A, there could have been as few as 37 or as many as 79 people viewing films on screen B.arrow_forwardQ.2.4 There are twelve (12) teams participating in a pub quiz. What is the probability of correctly predicting the top three teams at the end of the competition, in the correct order? Give your final answer as a fraction in its simplest form.arrow_forwardThe table below indicates the number of years of experience of a sample of employees who work on a particular production line and the corresponding number of units of a good that each employee produced last month. Years of Experience (x) Number of Goods (y) 11 63 5 57 1 48 4 54 5 45 3 51 Q.1.1 By completing the table below and then applying the relevant formulae, determine the line of best fit for this bivariate data set. Do NOT change the units for the variables. X y X2 xy Ex= Ey= EX2 EXY= Q.1.2 Estimate the number of units of the good that would have been produced last month by an employee with 8 years of experience. Q.1.3 Using your calculator, determine the coefficient of correlation for the data set. Interpret your answer. Q.1.4 Compute the coefficient of determination for the data set. Interpret your answer.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill

Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Type I and II Errors, Power, Effect Size, Significance and Power Analysis in Quantitative Research; Author: NurseKillam;https://www.youtube.com/watch?v=OWn3Ko1WYTA;License: Standard YouTube License, CC-BY