Question

You wish to test the following claim ( H a ) at a significance level of α = 0.005 . H o : μ 1 = μ 2 H a : μ 1 ≠ μ 2 You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain a sample of size n 1 = 20 with a mean of M 1 = 80.6 and a standard deviation of S D 1 = 7.6 from the first population. You obtain a sample of size n 2 = 17 with a mean of M 2 = 83.8 and a standard deviation of S D 2 = 7.4 from the second population. 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... in the critical region not in the critical region 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 first population mean is not equal to the second population mean. There is not sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean. The sample data support the claim that the first population mean is not equal to the second population mean. There is not sufficient sample evidence to support the claim that the first population mean is not equal to the second population mean.

You wish to test the following claim (H.) at a sigrificance level of α-0.005. You bel eve both populations are normally distributed, but you do not know the stadard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obain a sample of size T20 with a mean of M1-80.6 and a standard deviation of SD 7.6 from the first population.You oblain a sample of size 17wth a mean of M83.8 and a standard deviation of SD. 7.4 from the second population. What is the critical value for this test? (Report arswer 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 nul O accept the null O fail to reject the null As such, the linal conclusion is tha... There is suilficient evidence to warrant rejection of the daim that the first population mean is not equal to the second population mean There is nok sufficient evidence to warran rejection of the claim that the firsi population mean is not equal to the second population mean O The sample daa support the claim that the firsi population mean is not equal to the second population mea OThere is not sufficient sample eviderce to support the claim that the first population mean is not equal to the seconnd population mean

Answer 1

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