Question

solve for the yellow highlighted please

4 26.9 218 41.6 20.9 23.6 8.4 sample mean 2.6 sample standard deviation 13 0.419 Number of yes Sample proportion 1.000 0.290 0.387 0.613 0.484 Hypothetical Values to use Population mean Population standard deviation Population proportion 12 Use this only for testing the standard deviation 0.600 A. 5. F test for 2 standard deviations (Covered in Module 4 - Topic 14) Hypotheses 12 Diagram [1 Ho Hi Calculation of test statistic Reject or fail to reject [11 Formal statement [1] an te 2 standard deviatnr are noteeval

Answer 1

The provided sample variances are si 1.9 and s2 14.4 and the sample sizes are given by ni - 31 and n2 31. (1) Null and Alternative Hypotheses The following null and alternative hypotheses need to be tested: This corresponds to a two-tailed test, for which a F-test for two population variances needs to be (2) Rejection Region Based on the information provided, the significance level is α-005, and the the rejection region for this two-tailed test is R F F< 0.482 or F>2.074) (3) Test Statistics The F-statistic is computed as follows: 81440.132

(4) Decision about the null hypothesis Since from the sample information we get that F the null hypothesis is rejected. 0132 < 0.482, it is then concluded that It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that the variance 05, at the a-0.05 significance level. population variance σ| is different than the population The 95% confidence interval for is: 0.064 < < 0.274.