Introductory Statistics, Books a la Carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (10th Edition)
10th Edition
ISBN: 9780134270364
Author: Neil A. Weiss
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 11, Problem 1RP
What distribution is used in this chapter to make inferences for one population standard deviation?
Expert Solution & Answer
To determine
Identify the name of the distribution that is used to make the inferences for one population standard deviation.
Explanation of Solution
Justification:
The chi-square distribution is used to make inferences for one population standard deviation.
If the distribution of the random variable has the shape of a right-skewed curve, then the variable would havea chi squared distribution.
Want to see more full solutions like this?
Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
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?
Business
Chapter 11 Solutions
Introductory Statistics, Books a la Carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (10th Edition)
Ch. 11.1 - What is meant by saying that a variable has a...Ch. 11.1 - How are different chi-square distributions...Ch. 11.1 - Two 2-curves have degrees of freedom 12 and 20,...Ch. 11.1 - The t-table has entries for areas of 0.10, 0.05,...Ch. 11.1 - Prob. 5ECh. 11.1 - Prob. 6ECh. 11.1 - In Exercises 11.511.2, use Table VII to find the...Ch. 11.1 - Prob. 8ECh. 11.1 - Prob. 9ECh. 11.1 - Prob. 10E
Ch. 11.1 - Prob. 11ECh. 11.1 - Prob. 12ECh. 11.1 - When you use chi-square procedures to make...Ch. 11.1 - Give two situations in which making an inference...Ch. 11.1 - Prob. 15ECh. 11.1 - In each of Exercises 11.1511.20, we have provided...Ch. 11.1 - In each of Exercises 11.1511.20, we have provided...Ch. 11.1 - Prob. 18ECh. 11.1 - In each of Exercises 11.1511.20, we have provided...Ch. 11.1 - Prob. 20ECh. 11.1 - Prob. 21ECh. 11.1 - Prob. 22ECh. 11.1 - Preliminary data analyses and other information...Ch. 11.1 - Preliminary data analyses and other information...Ch. 11.1 - Prob. 25ECh. 11.1 - Prob. 26ECh. 11.1 - In Exercises 11.2711.32, use Procedure 11.2 on...Ch. 11.1 - Prob. 28ECh. 11.1 - Prob. 29ECh. 11.1 - In Exercises 11.2711.32, use Procedure 11.2 on...Ch. 11.1 - Prob. 31ECh. 11.1 - Prob. 32ECh. 11.1 - Prob. 33ECh. 11.1 - Prob. 34ECh. 11.1 - Prob. 35ECh. 11.1 - In each of Exercises 11.3311.36, use the...Ch. 11.1 - Body Temperature. A study by researchers at the...Ch. 11.1 - Dexamethasone and IQ. In the paper Outcomes at...Ch. 11.1 - Forearm Length. In 1903, K. Pearson and A. Lee...Ch. 11.1 - Prob. 40ECh. 11.2 - How many numbers of degrees of freedom does an...Ch. 11.2 - What symbol is used to denote the F-value having...Ch. 11.2 - Prob. 44ECh. 11.2 - An F-curve has df = (12, 7). What is the number of...Ch. 11.2 - Prob. 46ECh. 11.2 - Prob. 47ECh. 11.2 - In Exercises 11.4711.54, use Table VIII and, if...Ch. 11.2 - Prob. 49ECh. 11.2 - Prob. 50ECh. 11.2 - Prob. 51ECh. 11.2 - In Exercises 11.4711.54, use Table VIII and, if...Ch. 11.2 - In Exercises 11.4711.54, use Table VIII and, if...Ch. 11.2 - Prob. 54ECh. 11.2 - In using F-procedures to make inferences for two...Ch. 11.2 - Give two situations in which comparing two...Ch. 11.2 - Prob. 57ECh. 11.2 - Prob. 58ECh. 11.2 - Prob. 59ECh. 11.2 - Prob. 60ECh. 11.2 - In each of Exercises 11.5711.62, we have provided...Ch. 11.2 - Prob. 62ECh. 11.2 - Prob. 63ECh. 11.2 - Preliminary data analyses and other information...Ch. 11.2 - Prob. 65ECh. 11.2 - Preliminary data analyses and other information...Ch. 11.2 - Prob. 67ECh. 11.2 - Preliminary data analyses and other information...Ch. 11.2 - Prob. 69ECh. 11.2 - Prob. 70ECh. 11.2 - Prob. 71ECh. 11.2 - Prob. 72ECh. 11.2 - Prob. 73ECh. 11.2 - Prob. 74ECh. 11.2 - The Etruscans. Anthropologists are still trying to...Ch. 11.2 - Prob. 76ECh. 11.2 - RBC Transfusions. In the article Reduction in Red...Ch. 11.2 - Prob. 79ECh. 11 - What distribution is used in this chapter to make...Ch. 11 - Fill in the blanks. a. A 2-curve is _____ skewed....Ch. 11 - When you use the one-standard-deviation 2-test or...Ch. 11 - Prob. 4RPCh. 11 - Prob. 5RPCh. 11 - Prob. 6RPCh. 11 - Prob. 7RPCh. 11 - Prob. 8RPCh. 11 - What distribution is used in this chapter to make...Ch. 11 - Fill in the blanks: a. An F-curve is ____ skewed....Ch. 11 - When you use the two-standard-deviations F-test....Ch. 11 - Prob. 12RPCh. 11 - Prob. 13RPCh. 11 - Prob. 14RPCh. 11 - Prob. 15RPCh. 11 - Prob. 16RPCh. 11 - Prob. 17RPCh. 11 - Prob. 18RPCh. 11 - Prob. 19RPCh. 11 - Prob. 20RPCh. 11 - Prob. 21RPCh. 11 - Prob. 22RPCh. 11 - Prob. 23RPCh. 11 - Microwave Popcorn. Two brands of microwave...Ch. 11 - Recall from Chapter 1 (see page 34) that the Focus...Ch. 11 - At the beginning of this chapter, we discussed...
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
- What 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_forwardBusinessarrow_forward
- Why researchers are interested in describing measures of the center and measures of variation of a data set?arrow_forwardWHAT IS THE SOLUTION?arrow_forwardThe 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_forward
- II 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_forwardPS 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_forward
- Q.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_forwardCan you answer this question for mearrow_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
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
F- Test or F- statistic (F- Test of Equality of Variance); Author: Prof. Arvind Kumar Sing;https://www.youtube.com/watch?v=PdUt7InTyc8;License: Standard Youtube License
Statistics 101: F-ratio Test for Two Equal Variances; Author: Brandon Foltz;https://www.youtube.com/watch?v=UWQO4gX7-lE;License: Standard YouTube License, CC-BY
Hypothesis Testing and Confidence Intervals (FRM Part 1 – Book 2 – Chapter 5); Author: Analystprep;https://www.youtube.com/watch?v=vth3yZIUlGQ;License: Standard YouTube License, CC-BY
Understanding the Levene's Test for Equality of Variances in SPSS; Author: Dr. Todd Grande;https://www.youtube.com/watch?v=udJr8V2P8Xo;License: Standard Youtube License