9. Carry out a test at a significance level 0.01 to decide whether the true means...
Assume that both populations are normally distributed. (a) Test whether μ1≠μ2 at the α=0.01 level of significance for the given sample data. (b) Construct a 9999% confidence interval about 1−μ2. Population 1 Population 2 n 10 10 x overbarx 10.1 8.9 s 2.4 2.3 (a) Test whether μ1≠μ2 at the α=0.01 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. Detemine the P-value for this hypothesis test. P=________. (Round to three decimal...
Test whether at the 0.01 level of significance for the sample data shown in the accompanying table Assume that the populations are normally distributed Click the icon to view the datatable Determine the null and alternative hypothesis for this test OA. HOR Sample Data - X OB. Het Ha OCH 12 n Population 1 33 1035 123 Population 2 25 1145 133 OD. HE 2 Hyh Print Done Determine the value for this hypothesis test P-Round to three decimal places...
. When we carry out a statistical test with significance level α = 5%, the probability of rejecting the null hypothesis when it is true is 5%. Suppose that we independently select 5 random samples of size 100, and for each sample carry out the same statistical test with significance level 5%. We know that the null hypothesis is true. What is the probability that we reject the null hypothesis at most once out of the 5 tests? (a) 0.02...
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Test whether un <H2 at the a= 0.01 level of significance for the sample data shown in the accompanying table. Assume that the populations are normally distributed. 3Click the icon to view the data table. Determine the null and alternative hypothesis for this test. 1 Sample Data O A. Hoita <H2 HqEH41 = H2 O B. Ho:H1 = 42 H4:4 * H2 | O C. How * H2 HH1 H2 D. Ho:11=H2 H:H1 <H2 SIX on Population 1...
9. Test whether 44 <, at the a = 0.05 level of significance for the given sample data Sample 1 = 39 * =91.2 s=159 Sample 2 n=31 i=111.2 s = 23.0 Fill in all the information below: H: H, rejected? (Answer yes or no) H, accepted? (Answer yes or no) Final conclusion: Is there statistically significant evidence to believe that 14 <,? (Answer YES or NO)
You wish to test the following claim (H) at a significance level of a = 0.01. For the context of this problem, Ha = 42 – Mi where the first data set represents a pre-test and the second data set represents a post-test. H:Md = 0 HQ:Hd < 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 = 5 subjects. The average...
(a) Test at the 0.05 level of significance whether there is sufficient evidence to conclude that the average salary of articling lawyers in Toronto exceeds $75,000. Use the critical value approach and show manually how the t-statistic is calculated. (b) Now show how you would calculate the p-value for the result in part (a). (c) Finally calculate manually a 95% 1-sided confidence interval for the average salary of an articling lawyer in Toronto. (d) Explain why the p-value and confidence...
Assume that both populations are normally distributed. a) Test whether H1 H2 at the a= 0.01 level of significance for the given sample data. b) Construct a 99% confidence interval about 11 -42 n Sample 1 20 53.5 9.4 Sample 2 13 44.8 11.3 х s Click the icon to view the Student t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. A. HO HH2, H:17H2 O B. Ho H1 H2, H7:41 H2 OC. Ho H1...
To decide whether two different types of steel have the same true average fracture toughness values, n specimens of each type are tested, yielding the following results. Type Sample Average 60.6 60.4 Sample SD 1.0 1.0 Calculate the P-value for the appropriate two-sample z test, assuming that the data was based on n = 100. (Round your answer to four decimal places.) Calculate the P-value for the appropriate two-sample z test, assuming that the data was based on n =...
Test the hypothesis at α = 0.01 Describe what type I errors are
in this context. Compute the p-value for this test.
A 2 sided Confidence Interval for the mean is, in analogy to the 2-sided hypothesis test, a range of values under which you would fail to reject the null hypothesis By rewriting this statement about the rejection region, under the assumption the null hypothesis is true: into a statement about the interval for μ you construct the 2-sided...