MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- You wish to test the following claim (HaHa) at a significance level of α=0.02. Ho:μ1=μ2 Ha:μ1<μ2You obtain the following two samples of data. Sample #1 Sample #2 84.3 84.3 66.6 68.8 52.2 45.5 38.2 43.8 77 63.6 46.3 47.8 72.9 71.1 67.9 100.2 51.6 24.9 97.2 69.7 69.3 60.5 24.9 61 64 85.1 65.8 68.8 49.8 73.4 36.6 63.2 97.2 46.3 40.7 83.5 46.3 68.4 45.5 61 48.5 84.3 43.8 55.4 52.8 60.1 59.6 63.2 44.7 45.5 68.6 66.6 73.3 71.3 67.5 61.4 54 57.6 62.8 56.9 86.8 84.7 81.1 81.5 68.6 69.7 75.2 59.3 67.5 82.6 61.4 64.8 75.7 60.2 78.7 82.6 79.1 64.5 83.9 65.8 74.2 90.6 77.1 64.3 74.5 64.8 77.7 64 86.8 57.6 79.4 81.5 66.8 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 four decimal places.)p-value =…arrow_forwardYou wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0Ho:μd=0 Ha:μd≠0Ha:μd≠0You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 48.2 51.9 45 36.6 52 73.5 51.1 60.5 47.9 16.7 48.5 20.5 40.4 28.8 46.7 -0.9 52.4 28.5 45.5 42.4 What is the test statistic for this sample?arrow_forwardYou wish to test the following claim (Ha) at a significance level of a = 0.002. H.: µ1 < µ2 You obtain the following two samples of data. H.:µ1 = µ2 93.9 83.5 80.5 103.9 56.1 81.5 95.2 52 75.1 88 63.1 72 81.5 95.2 84.6 66.7 91.4 100.5 84 62 46 61.7 32.7 118.1 58.6 95.7 95.7 65.6 74.7 61.7 84.6 75.2 73.7 56.6 106.2 84 103.1 84.6 98.3 47.8 50.9 80 62.6 76.4 85.1 101 105.5 91.3 92.2 94.8 78.6 62.6 71.6 105.5 75.2 65.6 Sample #1 Sample #2 54.4 69.3 46.1 96.8 88.3 106.9 106.9 123.5 58.6 55.9 32.6 82 81 81 101 69 63.6 60.4 57.3 86.8 66.7 118.1 82.5 101 66.6 93 62.6 57.9 71.1 69.5 94.5 81.5 93.2 123.5 67.9 94.5 100.1 52 66.7 53.1 103.1 114.8 83.5 76.6 60.3 54.2 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 =arrow_forward
- Test the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.10 significance level.The null and alternative hypothesis would be: H0:μN≥μDH0:μN≥μDHa:μN<μDHa:μN<μD H0:pN≥pDH0:pN≥pDHa:pN<pDHa:pN<pD H0:pN≤pDH0:pN≤pDHa:pN>pDHa:pN>pD H0:μN≤μDH0:μN≤μDHa:μN>μDHa:μN>μD H0:μN=μDH0:μN=μDHa:μN≠μDHa:μN≠μD H0:pN=pDH0:pN=pDHa:pN≠pDHa:pN≠pD The test is: left-tailed right-tailed two-tailed The sample consisted of 16 night students, with a sample mean GPA of 2.33 and a standard deviation of 0.03, and 22 day students, with a sample mean GPA of 2.34 and a standard deviation of 0.02. test statistic = [three decimal accuracy] p-value = [three decimal accuracy] Based on this we: Reject the null hypothesis Fail to reject the null hypothesisarrow_forwardA test of H₁: μ=7 versus H₁: u<7 is performed using a significance level of a=0.01. The P-value is 0.20. Part: 0/3 Part 1 of 3 (a) Is H rejected? Since P ≤ Part: 1 / 3 Part 2 of 3 (b) If the true value of u is 1, is the result a Type I error, a Type II error, or a correct decision? a, we do not reject Ho at the a= 0.01 level. The result is a Type I error Part: 2/3 Part 3 of 3 X 3 (c) If the true value of u is 7, is the result a Type I error, a Type II error, or a correct decision? The result is a [Choose one) ▾ Españolarrow_forwardYou wish to test the following claim (Ha) at a significance level of α=0.001 Ho:μ1=μ2Ho Ha:μ1>μ2You obtain the following two samples of data. Sample #1 Sample #2 84.3 71.4 82.2 111.4 70.5 61.3 61.3 95.6 62 87.5 76.1 67.2 74 94.2 68.2 71.9 62.6 76.5 71.4 69.6 72.3 77.3 62 74 77.3 83.9 71.4 96.3 72.7 85.7 92.3 85.7 91.2 65 78.5 62 89 57.3 80.1 78.5 86.6 59.9 47.6 62.6 81.8 62 88.5 90.1 72.7 79.3 91.2 98.9 82.2 55.3 78.9 92.1 62.5 78.6 77.2 59 70.7 67 82.7 64.7 71.9 46.9 76.2 79.3 75.9 78.6 87.3 69.5 93.7 76.9 93.7 65.7 57.3 70.4 65.7 60.9 72.5 48.9 68.3 87.3 59 56.7 75.6 73.1 79 89.8 79.3 43.6 99 64.7 46.9 74.3 67 90.9 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal…arrow_forward
- Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .05 significance level.The null and alternative hypothesis would be: H0:μM=μFH1:μM<μF H0:pM=pFH1:pM<pF H0:pM=pFH1:pM>pF H0:pM=pFH1:pM≠pF H0:μM=μFH1:μM≠μF H0:μM=μFH1:μM>μF The test is: right-tailed left-tailed two-tailed Based on a sample of 20 men, 40% owned catsBased on a sample of 60 women, 55% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisarrow_forwardYou wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0Ho:μd=0 Ha:μd>0Ha:μd>0You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=40n=40 subjects. The average difference (post - pre) is ¯d=3.2d¯=3.2 with a standard deviation of the differences of sd=9.6sd=9.6.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? (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…arrow_forwardYou wish to test the following claim (H0,Ha) at a significance level of α=0.002 Ho:μ1=μ2 Ha:μ1≠μ2You obtain the following two samples of data. Sample #1 Sample #2 91.1 91.9 75.1 68.6 77.8 97 81.3 76.3 95 89.6 75.1 81.3 93.6 85.7 82.7 78.9 99.4 87.8 91.9 95.5 71.9 73.8 92.7 86.7 79.3 71.4 60.2 95 75.9 72.4 71.4 73.8 86.7 82.7 75.9 78.2 64.9 92.7 85 99.4 89.6 97 80 83.7 68.6 100.1 96.5 98.8 79.6 76.7 56.2 63.9 67.4 51.6 95.4 78.6 63.1 71.3 93.3 105.2 70.3 68 64.7 91.8 90.4 82.3 62.3 104.2 92.3 89.9 103.2 81.1 73.3 105.2 79.4 79.8 94.3 44.4 67.4 44.4 44.4 89 66.1 79 96.6 58.2 59.4 77.3 78.6 113 93.3 94.9 76.9 87.7 89.5 99.2 86 70.3 76 69.2 83.5 57 110.8 63.9 61.4 110.8 86.9 90.4 44.4 71.3 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…arrow_forward
- Test the claim that the mean GPA of night students is larger than the mean GPA of day students at the 0.10 significance level.The null and alternative hypothesis would be: H0:μN=μDH1:μN≠μD H0:pN≥pDH1:pN<pD H0:μN≤μDH1:μN>μD H0:pN≤pDH1:pN>pD H0:μN≥μDH1:μN<μD H0:pN=pDH1:pN≠pD The test is: two-tailed right-tailed left-tailed The sample consisted of 80 night students, with a sample mean GPA of 3.36 and a standard deviation of 0.08, and 80 day students, with a sample mean GPA of 3.35 and a standard deviation of 0.04.The test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesisarrow_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_forwardTest the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.01 significance level.The null and alternative hypothesis would be: H0:μN=μDH0:μN=μDH1:μN≠μDH1:μN≠μD H0:pN≥pDH0:pN≥pDH1:pN<pDH1:pN<pD H0:μN≤μDH0:μN≤μDH1:μN>μDH1:μN>μD H0:pN=pDH0:pN=pDH1:pN≠pDH1:pN≠pD H0:μN≥μDH0:μN≥μDH1:μN<μDH1:μN<μD H0:pN≤pDH0:pN≤pDH1:pN>pDH1:pN>pD The test is: left-tailed two-tailed right-tailed The sample consisted of 35 night students, with a sample mean GPA of 2.23 and a standard deviation of 0.05, and 35 day students, with a sample mean GPA of 2.24 and a standard deviation of 0.07.arrow_forward
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