You wish to test the following claim (Ha) at a significance level of a = 0.10. Ho:μ₁ ≤ μ₂ Ha:μι > με You believe both populations are normally distributed, but you do not know the standard deviations for either. You obtain a sample of size n₁ = 10 with a mean of M₁ = 60.3 and a standard deviation of SD₁ = 7.5. You obtain a sample of size n₂ = 19 with a mean of M₂ = 58.2 and a standard deviation of SD₂ = 14.8 test statistic = p-value = [three decimal accuracy] [three decimal accuracy]

You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ = 59.3 Ha:µ + 59.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 666 with mean M = 57.9 and a standard deviation of SD = 15.4. 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) a Ogreater than a 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 59.3. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 59.3. The sample data support the claim that the population mean is not equal…

You wish to test the following claim (HaHa) at a significance level of α=0.10      Ho:μ=85.5H      Ha:μ≠85.5You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 55 52 77.1 68.5 74.2 84.1 84.6 88.4 57.8 74.2 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 = ?

You wish to test the following claim (Ha) at a significance level of a = 0.005. Ho: μ = 71.5 Ha: μ > 71.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 529 with a mean of M = 72.9 and a standard deviation of SD = 18.3. 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 = The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 71.5. O There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 71.5. O The sample data…