For the sample data given in worksheet 2.5 a. Check the data for normality. b. Use MINITAB to test the hypotheses Hoμ = 200 versus H₁ μ 200 at α = 0.05. Is there sufficient evidence to reject Ho? c. Confirm the confidence interval for the mean by manual calculation. d. Confirm the hypothesis test's t statistic by manual calculation and compare it to the critical t0.025 value for the test. →>> C1 Volts 86.4 86.5 12 3 86.5 4 83.8 5 88.3 6 87.0 7 85.3 8 83.4 9 85.8 10 85.3 11 88.9 12 85.8 13 86.8 14 83.7 15 16 56 85.2 86.8 17 86.7 18 86.6 19 84.6 20 87.8 21 84.0 22 85.1 23 84.2 24 85.2 25 87.1 26

You wish to test the following claim (Ha) at a significance level of α=0.01.      Ho:μ=83.8       Ha:μ<83.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=102 with mean M=82.5 and a standard deviation of SD=10.7.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? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) α   greater than α

You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005.      Ho:μ=65.2Ho:μ=65.2       Ha:μ<65.2Ha:μ<65.2You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=101n=101 with mean M=62.6M=62.6 and a standard deviation of SD=7.9SD=7.9.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 =

You wish to test the following claim (HaHa) at a significance level of α=0.001.      Ho:μ=90.9      Ha:μ>90.9You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=583 with mean M=91.7 and a standard deviation of SD=10.1.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 is sufficient evidence to warrant rejection of the claim that the population mean is greater than 90.9. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 90.9. The sample data support the claim that the population mean is…