You wish to test the following claim (Ha) at a significance level of a = problem, µd = µ2 - 41 where the first data set represents a pre-test and the second data set represents 0.005. For the context of this a post-test. H,: Ha = 0 Ha:Ha < 0 You 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 = 38 subjects. The average difference (post - - 8.2 with a standard deviation of the differences of sa = 42.3. pre) is d:

The manufacturer claims that your new car gets 24 mpg on the highway. You suspect that the mpg is less for your car. The 44 trips on the highway that you took averaged 22.3 mpg and the standard deviation for these 44 trips was 4.2 mpg. What can be concluded at the  αα = 0.05 level of significance? For this study, we should use (t-test for population mean, z-test for population proportion)    The null and alternative hypotheses would be:       H0: (symbol) (symbol) ____                H1:  (symbol) (symbol) ____             The test statistic (?,t,z)    =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is (?, less than or equal to, more than)  αα Based on this, we should (accept, reject, fail to reject) the null hypothesis. Thus, the final conclusion is that ... The data suggest that the sample mean is not significantly less than 24 at αα = 0.05, so there is statistically insignificant evidence to conclude…

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…

You wish to test the following claim (Ha) at a significance level of α=0.02. For the context of this problem, μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test.       Ho:μd=0       Ha:μd>0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:pre-test    post-test74.9    107.677.2    80.370.1    62.784.3    64.468.1    97.436.9    42.6 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 regionnot in the critical region This test statistic leads to a decision to...reject the nullaccept the nullfail to reject the null As such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that…