b.  Calculate the​ p-value. a. What is the alternative​ hypothesis? A. HA​: μ1−μ2≥0   B. HA​: μ1−μ2>0   C. HA​: μ1−μ2≠0   D. HA​: μ1−μ2=0

You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005.      Ho:μ=52.8Ho:μ=52.8      Ha:μ<52.8Ha:μ<52.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D Column E 68.6 49.4 55.1 46.6 37.3 64.7 53.4 56.9 49.1 42.7 59.3 51.5 44.1 44.8 43.8 46 56.9 64.7 51.8 47.7 53.4 50.5 50.2 37.9 41.6 56.6 58.9 35.2 53.4 56.3 50.7 49.9 61.2 75.9 56 42 65.4 48 56.3 51.8 51 45.4 55.4 54.6 59.6 45.7 71.1 61.2 75.9 53.7 51.5 44.8 56.6 26.1 49.1 32.3 75.9 55.1 53.7 75.9 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? (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…

Consider the following data for two independent random samples taken from two normal populations. Excel File: data10-11.xlsx Sample 1 10 7 13 7 9 8 Sample 2 8 7 8 4 6 9 a. Compute the two sample means. (to nearest whole number) 9. 7 b. Compute the two sample standard deviations. (to 2 decimals) S1 = 2.28 O 82 = 1.79 O c. What is the point estimate of the difference between the two population means? 2 d. What is the 90% confidence interval estimate of the difference between the two population means? (to 2 decimals and enter negative value as negative number) .05 3.95

You conduct a between-subjects ANOVA investigating whether different states produce tastier cheeses. You find that eta-squared is .50. What does this tell you?  a. The effect size is small. b. 50% of the total variance in tastiness is due to differences between the states. c. The difference between the group means is .50 standard deviations. d. All of the above

You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.      Ho:μ=63.7Ho:μ=63.7      Ha:μ<63.7Ha:μ<63.7You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D 66.7 56.1 82.1 74.8 60.4 57.5 55.2 52.4 74.8 56.1 83.6 98 49.5 33.7 83.6 44.9 27.3 29.8 39 92.9 42.2 29.8 25.8 42.7 64.5 69.7 58 38.4 76.6 50.9 57.5 69.7 47 43.9 65 67.8 What is the critical value for this test? (Report answer accurate to three decimal places.)critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =

10. For which of the following cases would you use a t-test statistic? A. Where the population distribution is not normal, the population variance is not known and the sample size is below 25. B. Where the population distribution is not normal but the population variance is known. C. Where the population distribution is normal, the population variance is not known and the sample size is below 25. D. Where the population distribution is normal, the population variance is known and the sample size is 25 or more.

You 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…

You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02.      Ho:μ=70.6Ho:μ=70.6      Ha:μ≠70.6Ha:μ≠70.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 113.7 91.9 98.1 112.8 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 is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 70.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 70.6. The sample data support the claim that the…

You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.      Ho:μ=52.7Ho:μ=52.7      Ha:μ>52.7Ha:μ>52.7You believe the population is normally distributed and you know the standard deviation is σ=7.7σ=7.7. You obtain a sample mean of M=54.9M=54.9 for a sample of size n=20n=20.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 52.7. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 52.7. The sample data support the claim that the…