Test the claim that the mean GPA of night students is significantly different than 2.2 at the 0.01 significance level. The null and alternative hypothesis would be: O Ho: p = 0.55 H₁: p > 0.55 Ο Ηo : μ = 2.2 H : μ < 2.2 O Ho : μ = 2.2 H : μ > 2.2 Ο Η :μ Ho:t=2.2 H₁: μ2.2 O Ho: p = 0.55 H₁: p0.55 O Ho: p = 0.55 H₁: p < 0.55 Based on a sample of 80 people, the sample mean GPA was 2.22 with a standard deviation of 0.06 The test statistic is decimals) The positive critical value is Based on this we (to 3 decimals) O reject the null hypothesis fail to reject the null hypothesis (to 3
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- You 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…You 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…You 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…
- You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. 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=50n=50 subjects. The average difference (post - pre) is ¯d=17.6d¯=17.6 with a standard deviation of the differences of sd=46.1sd=46.1.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…You 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…You 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…
- AutoSave Off Ch13 60v13_10e (1) - File Home Insert Draw Page Layout Formulas Data Review View à From Text/CSV là Recent Sources T Queries & Connections là From Web LA Existing Connections Properties Get Refresh Data A From Table/Range All - A Edit Links Get & Transform Data Queries & Connections v X v fx H19 C D F ANOVA table 2 Source SS df MS 3 Regression 4 Residual 5 Total 1870.5782 1 1870.5782 41.39 1265.4934 28 45.1962 3136.0716 29 6. 7 8 Regression output 9 Variables 10 Intercept Coefficients Std. Error t(df=28) 13.76015 3.106 2.914 11 Distance-X 3.77085 7.977 6.427 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. 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=217 subjects. The average difference (post - pre) is ¯d=0.9 with a standard deviation of the differences of sd=9.3.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the P-value for this test? For this calculation, use the conservative under-estimate for the degrees of freedom as mentioned in the textbook. (Report answer accurate to four decimal places.)P-value = The P-value is... less than (or equal to) αα greater than αα This P-value leads to a decision to... reject the null…You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. 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=16n=16 subjects. The average difference (post - pre) is ¯d=−2.7d¯=-2.7 with a standard deviation of the differences of sd=13.3sd=13.3.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? (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…
- You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. 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=39n=39 subjects. The average difference (post - pre) is ¯d=15.3d¯=15.3 with a standard deviation of the differences of sd=47.8sd=47.8.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? (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…You wish to test the following claim (Ha) at a significance level of α=0.10. Ho:μ1=μ2 Ha:μ1<μ2 You obtain a sample of size n1=21 with a mean of M1=72.5 and a standard deviation of SD1=18.7 from the first population. You obtain a sample of size n2=22 with a mean of M2=76.2 and a standard deviation of SD2=15.8 from the second population. Use the Theory-based inference applet to conduct the test of significance. (a) What is the t-score for this sample? t-score = (Round to 2 decimal places.) (b) What is the p-value for this sample? p-value = (Round to 4 decimal places.) (c) The p-value is... less than (or equal to) α greater than α (d) This p-value leads to a decision to... strong evidence to support the alternative accept the null null is plausible (e) As such, the final conclusion is that... We conclude that μ1<μ2 . We conclude that μ1=μ2 . We have statistically significant evidence to support the claim that μ1<μ2 ..…You 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=35n=35 subjects. The average difference (post - pre) is ¯d=5d¯=5 with a standard deviation of the differences of sd=18.6sd=18.6.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…