Introduction to Probability and Statistics
14th Edition
ISBN: 9781133103752
Author: Mendenhall, William
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 12.7, Problem 12.46E
a)
To determine
To estimate: The average number of passing number of yards for games in which Brees throws 20 completed passing using a 95% confidence interval
b)
To determine
To predict: The average number of passing number of yards for games in which Brees throws 20 completed passing using a 95% confidence interval
c)
To determine
To explain: Whether least square line from exercise 12.45 could be used to find the Brees’ total number of passing yards for a game in which he threw only five completed passes.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A well-known brokerage firm executive claimed that 40% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 500 people, 37% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 40% at the 0.005 significance level.The null and alternative hypothesis would be:
H0:p≥0.4H0:p≥0.4H1:p<0.4H1:p<0.4
H0:μ≥0.4H0:μ≥0.4H1:μ<0.4H1:μ<0.4
H0:μ=0.4H0:μ=0.4H1:μ≠0.4H1:μ≠0.4
H0:μ≤0.4H0:μ≤0.4H1:μ>0.4H1:μ>0.4
H0:p≤0.4H0:p≤0.4H1:p>0.4H1:p>0.4
H0:p=0.4H0:p=0.4H1:p≠0.4H1:p≠0.4
The test is:
left-tailed
two-tailed
right-tailed
The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we:
Fail to reject the null hypothesis
Reject the null hypothesis
The cost of making a batch of a certain product depends on the size of the batch, as shown by the following sample data:
Cost $
30
70
140
270
530
1010
2000
5100
size of the batch
1
5
10
25
50
100
250
500
a) Fit a straight line to said data, with the least squares method, use the lot size as the independent variable.
b) Find a 95% confidence interval for alfa that can be interpreted as the fixed overhead cost of manufacture.
A well-known brokerage firm executive claimed that 80% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 100 people, 79% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 80% at the 0.025 significance level.The null and alternative hypothesis would be:
H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8
H0:μ=0.8H0:μ=0.8H1:μ≠0.8H1:μ≠0.8
H0:μ≥0.8H0:μ≥0.8H1:μ<0.8H1:μ<0.8
H0:μ≤0.8H0:μ≤0.8H1:μ>0.8H1:μ>0.8
H0:p≤0.8H0:p≤0.8H1:p>0.8H1:p>0.8
H0:p≥0.8H0:p≥0.8H1:p<0.8H1:p<0.8
The test is:
right-tailedtwo-tailedleft-tailed
The test statistic is:_______________ (to 3 decimals)The p-value is:_____________ (to 4 decimals)
Chapter 12 Solutions
Introduction to Probability and Statistics
Ch. 12.4 - Prob. 12.1ECh. 12.4 - Prob. 12.2ECh. 12.4 - Prob. 12.3ECh. 12.4 - Prob. 12.4ECh. 12.4 - Prob. 12.5ECh. 12.4 - You are given five points with these coordinates:...Ch. 12.4 - Prob. 12.7ECh. 12.4 - Prob. 12.8ECh. 12.4 - Prob. 12.9ECh. 12.4 - Prob. 12.10E
Ch. 12.4 - Prob. 12.11ECh. 12.4 - Prob. 12.12ECh. 12.4 - Prob. 12.13ECh. 12.4 - Prob. 12.14ECh. 12.4 - Prob. 12.15ECh. 12.4 - Prob. 12.16ECh. 12.4 - Prob. 12.17ECh. 12.5 - Prob. 12.19ECh. 12.5 - Prob. 12.20ECh. 12.5 - Prob. 12.21ECh. 12.5 - Prob. 12.22ECh. 12.5 - Prob. 12.23ECh. 12.5 - Prob. 12.24ECh. 12.5 - Professor Asimov, continued Refer to thedata in...Ch. 12.5 - Prob. 12.26ECh. 12.5 - Prob. 12.27ECh. 12.5 - Prob. 12.28ECh. 12.5 - Prob. 12.29ECh. 12.5 - Prob. 12.30ECh. 12.6 - Prob. 12.34ECh. 12.6 - Prob. 12.35ECh. 12.6 - Prob. 12.36ECh. 12.6 - Prob. 12.37ECh. 12.6 - Prob. 12.38ECh. 12.7 - Refer to Exercise 12.7. Portions of the MINITAB...Ch. 12.7 - Prob. 12.41ECh. 12.7 - Prob. 12.42ECh. 12.7 - Prob. 12.43ECh. 12.7 - Prob. 12.44ECh. 12.7 - Prob. 12.45ECh. 12.7 - Prob. 12.46ECh. 12.8 - Prob. 12.50ECh. 12.8 - Prob. 12.51ECh. 12.8 - Prob. 12.52ECh. 12.8 - Prob. 12.53ECh. 12.8 - Prob. 12.55ECh. 12.8 - Prob. 12.56ECh. 12.8 - Prob. 12.58ECh. 12.8 - Baseball Stats Does a team’s batting average...Ch. 12 - Prob. 12.62SECh. 12 - Prob. 12.63SECh. 12 - Prob. 12.65SECh. 12 - Prob. 12.66SECh. 12 - Prob. 12.67SECh. 12 - Tennis, Anyone? If you play tennis, you know that...Ch. 12 - Prob. 12.69SECh. 12 - Prob. 12.70SECh. 12 - Prob. 12.71SECh. 12 - Movie Reviews How many weeks cana movie run and...Ch. 12 - In addition to increasingly large bounds onerror,...Ch. 12 - Prob. 12.74SECh. 12 - Prob. 12.76SECh. 12 - Prob. 1CSCh. 12 - Prob. 2CSCh. 12 - Prob. 3CS
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
- A well-known brokerage firm executive claimed that 90% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 500 people, 86% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 90% at the 0.005 significance level.The null and alternative hypothesis would be: H0:μ≥0.9H0:μ≥0.9H1:μ<0.9H1:μ<0.9 H0:μ=0.9H0:μ=0.9H1:μ≠0.9H1:μ≠0.9 H0:p≤0.9H0:p≤0.9H1:p>0.9H1:p>0.9 H0:μ≤0.9H0:μ≤0.9H1:μ>0.9H1:μ>0.9 H0:p≥0.9H0:p≥0.9H1:p<0.9H1:p<0.9 H0:p=0.9H0:p=0.9H1:p≠0.9H1:p≠0.9 The test is: two-tailed right-tailed left-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesisarrow_forwardA well-known brokerage firm executive claimed that 10% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 600 people, 1% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 10% at the 0.025 significance level.The null and alternative hypothesis would be: H0:p≥0.1H1:p<0.1 H0:p=0.1 H1:p≠0.1 H0:μ≤0.1H1:μ>0.1 H0:μ=0.1H1:μ≠0.1 H0:p≤0.1H1:p>0.1 H0:μ≥0.1H1:μ<0.1 The test is: right-tailed two-tailed left-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisarrow_forwardA well-known brokerage firm executive claimed that 10% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 200 people, 19% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is larger than 10% at the 0.005 significance level.The null and alternative hypothesis would be: H0:p≥0.1H0:p≥0.1H1:p<0.1H1:p<0.1 H0:p≤0.1H0:p≤0.1H1:p>0.1H1:p>0.1 H0:μ≤0.1H0:μ≤0.1H1:μ>0.1H1:μ>0.1 H0:p=0.1H0:p=0.1H1:p≠0.1H1:p≠0.1 H0:μ≥0.1H0:μ≥0.1H1:μ<0.1H1:μ<0.1 H0:μ=0.1H0:μ=0.1H1:μ≠0.1H1:μ≠0.1 The test is: two-tailed left-tailed right-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisarrow_forward
- A well-known brokerage firm executive claimed that 40% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 400 people, 47% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is larger than 40% at the 0.01 significance level.The null and alternative hypothesis would be: H0:μ≤0.4H0:μ≤0.4H1:μ>0.4H1:μ>0.4 H0:p=0.4H0:p=0.4H1:p≠0.4H1:p≠0.4 H0:μ≥0.4H0:μ≥0.4H1:μ<0.4H1:μ<0.4 H0:p≥0.4H0:p≥0.4H1:p<0.4H1:p<0.4 H0:p≤0.4H0:p≤0.4H1:p>0.4H1:p>0.4 H0:μ=0.4H0:μ=0.4H1:μ≠0.4H1:μ≠0.4 The test is: right-tailed left-tailed two-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisarrow_forwardA well-known brokerage firm executive claimed that 50% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 800 people, 49% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 50% at the 0.01 significance level.The null and alternative hypothesis would be: H0:μ≤0.5H0:μ≤0.5 H1:μ>0.5H1:μ>0.5 H0:μ=0.5H0:μ=0.5 H1:μ≠0.5H1:μ≠0.5 H0:p≤0.5H0:p≤0.5 H1:p>0.5H1:p>0.5 H0:p=0.5H0:p=0.5 H1:p≠0.5H1:p≠0.5 H0:μ≥0.5H0:μ≥0.5 H1:μ<0.5H1:μ<0.5 H0:p≥0.5H0:p≥0.5 H1:p<0.5H1:p<0.5 The test is: right-tailed two-tailed left-tailed The test statistic is: ___?_____ (to 3 decimals)The p-value is: ___?___ (to 4 decimals)arrow_forwardA well-known brokerage firm executive claimed that 90% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 100 people, 81% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 90% at the 0.10 significance level.The null and alternative hypothesis would be: H0:p=0.9H0:p=0.9H1:p≠0.9H1:p≠0.9 H0:p≥0.9H0:p≥0.9H1:p<0.9H1:p<0.9 H0:μ≥0.9H0:μ≥0.9H1:μ<0.9H1:μ<0.9 H0:p≤0.9H0:p≤0.9H1:p>0.9H1:p>0.9 H0:μ=0.9H0:μ=0.9H1:μ≠0.9H1:μ≠0.9 H0:μ≤0.9H0:μ≤0.9H1:μ>0.9H1:μ>0.9 The test is: left-tailed two-tailed right-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we:arrow_forward
- A well-known brokerage firm executive claimed that 50% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 800 people, 56% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is larger than 50% at the 0.10 significance level.The null and alternative hypothesis would be: H0:p=0.5H0:p=0.5H1:p<0.5H1:p<0.5 H0:μ=0.5H0:μ=0.5H1:μ≠0.5H1:μ≠0.5 H0:μ=0.5H0:μ=0.5H1:μ<0.5H1:μ<0.5 H0:μ=0.5H0:μ=0.5H1:μ>0.5H1:μ>0.5 H0:p=0.5H0:p=0.5H1:p≠0.5H1:p≠0.5 H0:p=0.5H0:p=0.5H1:p>0.5H1:p>0.5 The test is: right-tailed left-tailed two-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals) I am just lost on how to do the steps. thanksarrow_forwardA medical researcher claims that 5% of children have asthma.In a random sample of 100 children 7.2% say they have asthma. At α=.05, evaluate the claim by: Identifying the claim and H0 and Ha, Finding the appropriate standardized test statistic, Finding the P-value or the rejection region, Deciding whether to reject or fail to reject the null hypothesis, and Interpreting the decision in the context of the original claim.arrow_forwardDo pilots with higher IQs complete private pilot training in greater of fewer hours than pilots with lower IQs. Below is sample data of pilots who completed their private pilot training during their sophomore year at Embry-Riddle. Use the 4 steps to hypothesis testing to determine if there is a significant relationship between IQ and hours to complete private pilot training. (Consider this a 2-tailed test with α = .05 ). IQ Flight Hours to Complete Private 100 62 115 59 108 45 98 55 120 44 147 47 132 51 85 75 105 70 110 65arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Hypothesis Testing - Solving Problems With Proportions; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=76VruarGn2Q;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