MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Question
You wish to test the following claim (Ha) at a significance level of α=0.005
Ho:μ1=μ2
Ha:μ1>μ2
You obtain the following two samples of data.
Sample #1 | Sample #2 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
|
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)
p-value =
The p-value is...
- less than (or equal to) αα
- greater than αα
This test statistic leads to a decision to...
- reject the null
- accept the null
- fail to reject the null
As such, the final conclusion is that...
- There is sufficient evidence to warrant rejection of the claim that the first population
mean is greater than the second population mean. - There is not sufficient evidence to warrant rejection of the claim that the first population mean is greater than the second population mean.
- The sample data support the claim that the first population mean is greater than the second population mean.
- There is not sufficient sample evidence to support the claim that the first population mean is greater than the second population mean.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 3 steps with 1 images
Knowledge Booster
Similar questions
- You wish to test the following claim (H) at a significance level of a = Ho: M1 = μ2 Ha: ₁ < 2 You obtain the following two samples of data. Sample #1 69.7 89.2 54.1 71.9 68.7 102.5 93.6 76.6 78.6 63.8 64.3 82.7 71.9 62.7 83.5 63.8 58.7 70.6 89.2 95.8 76.3 74.3 67.6 71.9 68.7 61.6 73.7 80.8 65.2 72.2 76.9 78 70 63.8 71.3 78 ∞ ∞ = Sample #2 77 75.3 80.9 78.9 83.4 73.3 84.9 83.2 81.8 85.2 83 70.2 83.6 67.2 90.8 93.7 90.3 90.3 82.2 70.2 71.8 72.4 82.2 87.9 79.5 73.3 88.6 88.2 72.1 75.1 65 93.7 67.2 83.8 69.7 87.6 82 87 79.8 77.6 76.2 81.1 92.8 84.7 80.4 80.2 89.8 83.8 72.1 81.1 77.6 91.3 91.3 85.2 74.4 72.7 85.6 77.2 78.3 65 75.1 ∞ ∞ : 0.05. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.) p-valuearrow_forwardYou wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1≠μ2Ha:μ1≠μ2You obtain the following two samples of data. Sample #1 Sample #2 65.8 77.7 105.1 78.6 89.2 69.1 96.7 91.3 105.9 87.5 70.5 93.9 83.4 88.3 79.5 66.7 83.4 91.7 106.7 73 75.7 98.7 76.7 80 53.2 92.1 93 78.2 72.4 79.1 82.1 74.1 78.2 85.5 85.9 99.3 84.2 104.3 88.3 107.6 63.8 99.8 97.7 86.3 74.9 72.7 77.5 93.9 76.1 77.1 81.9 74.1 73.6 78.7 81.9 78.9 81.1 88 85.8 75.3 74.3 77.5 69.1 75.5 72.9 80.1 84.3 73.1 67.3 72.2 76.1 67.8 74.9 67.3 74.7 70.1 65.4 76.9 83.8 79.7 72.9 81.7 74.1 68.2 65.4 80.9 69.4 79.5 96 77.5 77.1 75.9 68.7 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four…arrow_forwardYou wish to test the following claim (HaHa) at a significance level of α=0.05 Ho:μ1=μ2 Ha:μ1>μ2You obtain the following two samples of data. Sample #1 Sample #2 51.6 63.2 60 52.9 54.9 55.6 57.9 61.4 48.8 54.4 49.8 60.6 46 65.7 54.4 62.9 62 52 64.3 50.6 72.3 53.6 65 59.3 55.4 66.6 57.9 54 52.7 46.6 57.1 59.3 56.9 50.9 52.7 50.1 58.9 52 50.6 48.4 53.1 54.4 54.9 58.9 60.9 58.4 66.2 55.7 63.7 57.1 57.9 54 57.9 67.2 52.2 56.7 66.2 50.1 61.1 56.7 25.1 55.1 37 27.3 44 22.4 30 30 46.9 38.5 60.8 50.9 40.5 66.3 32.9 69.5 43.6 30.8 40.5 75.4 31.5 53.8 73.9 53.4 25.1 32.2 69.5 38.5 36.5 60.3 43.1 40.5 15.8 48.9 56 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)p-value = The…arrow_forward
- You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. Ho:μ=66.4Ho:μ=66.4 Ha:μ>66.4Ha:μ>66.4You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 100.4 87.6 88.2 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 66.4. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 66.4. The sample data support the claim that the…arrow_forwardYou wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2You obtain the following two samples of data. Sample #1 Sample #2 41.9 43.9 54.4 59.3 65.1 75.1 47.8 53.5 49.7 66.3 62.1 49.1 28.1 42.8 56.4 43.6 35.6 38.1 38.1 58.2 40.2 42.8 57.1 53.5 64 48.4 28.1 28.1 51.3 54.4 44.7 61.3 41.1 51.3 51.3 66.3 75.1 47.5 60.4 48.4 34.8 37.5 54.4 39.2 43.2 55.1 33.2 34 61.7 57.4 36.3 50.3 37.5 40.6 41.1 60.8 56.8 61.3 42.3 40.7 45.1 53.6 40 56.2 42.8 50.4 57.4 53.4 60.7 61 68.1 55.6 55.1 53.6 49.9 53.2 65.7 49.5 52.8 45.4 54.5 58.9 58.9 50.8 60.1 54.3 66.4 56.2 51.3 53.4 52.3 52.3 64.6 53.4 53.6 55.8 64.1 46.6 57.9 48 59.8 58.9 64.6 54.1 47.7 63.6 59.5 54.7 50.6 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the…arrow_forwardYou wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2You obtain the following two samples of data. Sample #1 Sample #2 52 60.1 61.7 56.9 52 59.7 45 49.9 71.9 31.1 47.1 56.1 54.9 45 85.1 67 66.1 51.2 87.2 50.7 73.1 43.3 65.2 58.5 50.3 71.3 60.5 48 62.2 78.6 50.7 56.5 37.8 45.6 41.5 58.5 54.9 76.8 62.6 29.5 71.3 83.5 71.3 64.3 63 74.5 76.8 50.7 78.6 59.3 31.1 54.9 61.2 50.3 75.1 72.3 68.5 85.7 63.3 50.3 79.1 73.5 65.2 58.4 62.3 57 52.9 72.3 88.2 57.4 75.8 68.5 84.1 45 60 79.7 58.1 56.6 77.1 60.9 68.5 67.3 62 45 66.4 79.7 53.5 52.9 79.7 63.5 67.1 74.8 53.5 66.1 68.7 64.2 72.3 55.2 75.5 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer…arrow_forward
- You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1≠μ2Ha:μ1≠μ2You obtain the following two samples of data. Sample #1 Sample #2 50.8 84.4 72.1 78.4 72.9 48.8 87.4 36.1 78.8 51.7 74.7 56.3 65.2 98.6 72.5 72.1 72.9 54.2 69.8 73.4 51.7 68.5 59.4 86.8 48.8 47.6 48.8 85.6 65.2 43.4 76.1 69.8 43.4 69.4 55.6 74.3 108.9 92.4 77.9 46.4 47.6 93.3 60 72.9 74.7 66.6 72 84.3 66.1 75 86.5 96.6 47.1 79.1 75 74.5 82.2 77.8 79.5 70.9 71.5 104.8 88.8 81.7 99.8 89.3 91.2 87.9 111.1 66.1 68 79.5 82.6 61.4 90.7 115.1 106.9 60.4 50.1 85.7 61.4 100.5 105.8 79.1 88.3 73 68.6 57.1 70.9 67.4 42.4 52.3 80.4 88.8 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to…arrow_forwardYou wish to test the following claim (Ha) at a significance level of α=0.10 Ho:μ1=μ2 Ha:μ1≠μ2You obtain the following two samples of data. Sample #1 Sample #2 69.2 62.6 86.1 59.8 63.9 51.2 58.5 70.6 64.5 44.2 57.1 75 73.6 62.6 61.7 57.1 67.1 77.3 64.8 58.8 68.1 60.1 72.7 74 81 55.7 68.8 69.9 36.9 66.4 56.8 63.9 52.5 50.7 80.2 67.1 63.5 60.4 58.1 43.2 51.6 70.6 86.1 60.7 62 77.9 52.9 61 60.4 73.6 68.8 51.6 69.9 50.2 67.8 56.6 73.3 61 47.7 55.7 58.6 73.3 51.7 64.7 54.7 59.6 59.3 55.4 26 42.1 76.1 43.7 38.7 63.5 48.5 49.6 65.1 70.5 68.8 65.5 42.1 44.2 63.1 46.9 56.3 47.7 34.8 66.9 86 31.7 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)p-value = The p-value is... less than…arrow_forwardYou wish to test the following claim (HaHa) at a significance level of α=0.10 Ho:μ=68.5 Ha:μ≠68.5You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 60.9 62.9 57.9 74.8 74.8 74.1 74.8 60.7 61.2 63.6 69 71.7 What is the critical value for this test? critical value = ±What is the test statistic for this sample? test statistic =arrow_forward
- You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. Ho:μ=59.1 Ha:μ>59.1You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: 49.1 77.3 66.4 64.7 62.9 74 80.2 67.8 79 82.3 65.7 49.7 59.7 60.1 75.3 68.5 60.4 64.7 80.2 75.8 62.6 72.3 62.6 75.3 65.3 75.8 58.2 49.1 43.2 84 66.4 62.2 57.4 67.8 62.6 38.7 70.7 55.8 72.7 76.3 74 53.5 64.3 79.6 51.5 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean…arrow_forwardYou wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:μ=87.8Ho:μ=87.8 Ha:μ≠87.8Ha:μ≠87.8You believe the population is normally distributed and you know the standard deviation is σ=15.6σ=15.6. You obtain a sample mean of M=83.9M=83.9 for a sample of size n=27n=27.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 87.8. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 87.8. The sample data support the claim that the…arrow_forwardYou wish to test the following claim (Ha) at a significance level of =0.01. Ho:μ1=μ2 Ha:μ1≠μ2You obtain the following two samples of data. Sample #1 Sample #2 102.7 70.5 101.6 113.4 79 96 76.5 89.9 79.8 101.6 109.9 71.6 77.6 83.5 75.4 87 106.7 82.1 94.7 88.1 91.1 91.6 91.4 99 96.4 70.5 92.5 111.4 103.2 93.4 80.2 107.6 113.4 101.6 71.6 106.7 88.4 82.5 84.8 94.4 76.5 70.5 100.2 91.9 100.7 67.8 89.6 97.8 89 90.5 67.8 106.7 74 78.1 93.1 91.9 85.8 105.2 81.4 91.4 80.6 87.9 106.9 109.4 102.4 60.4 104.9 89.5 72.4 84.9 84.5 97.4 77.1 72.9 92.7 100.3 94 81.1 79.2 104 84.2 83 86 89.5 64.9 93.6 84.9 87.1 105.8 90.2 66.6 94.9 89.5 74.9 92.3 88.3 83.8 64 68.1 91.9 80.7 83.8 85.6 99.1 93.1 89.1 90.2 94 64.9 71.8 105.8 96.9 84.2 75.3 86 56.9 112.9 84.5 96.9 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics 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:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction 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