Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether u, >2 at the a= 0.01 level of significance for the given sample data. (b) Construct a 90% confidence interval about H -H2- Population 1 Population 2 20 50.7 45.5 4.7 12.9 (a) Identify the null and alternative hypotheses for this test. OA Ho H 2 OB. Ho: >P2 OC. Ho: H H2 H: P2 H: 2 H:"P2 Yo. Ho: P2 OE Ho: H "P2 H: <2 OF. Ho: "P2 H: 2 Find the test statistic for this hypothesis test. 1.66 (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.)
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- Assume that both populations are normally distributed. a) Test whether . Population 1 Population 2 10 11.1 Pt2 at the a= 0.05 level of significance for the given sample data 10 9.8 2.3 (b) Construct a 95% confidence interval about u, - H3. 2.7 H1 H1 > H2 O C. Ho H1-H2 H1 H1> H2 D. Ho H1=H2 %3D Detemine the P-value for this hypothesis test. P = (Round to three decimal places as needed.) %24Construct a 90% confidence interval for u, - , with the sample statistics for mean calorie content of two bakeries specialty pies and confidence interval construction formula below Assume the populations are approximately normal with equal variances Bakery A Bakery B X1 = 1823 cal X, = 1629 cal S1 = 155 cal S2 = 190 cal n1 = 10 n2 = 12 Confidence interval when variances are equal n n. (n. - 1) s (n2 - 1) s where G and d.f = n, +n2 - 2 nn, - 2 Enter the endpoints of the interval (Round to the nearest integer as needed.)Find the 98% confidence interval for the difference between two means based on this information about two samples. Assume independent samples from normal populations. (Use conservative degrees of freedom.) (Give your answers correct to two decimal places.) Sample Number Mean Std. Dev. 1 16 38 29 2 29 28 29 Lower Limit Upper Limit
- Test the claim about the differences between two population variances a and o at the given level of significance a using the given sample statistics. Assume that the sample statistics are from independent samples that are randomly selected and each population has a normal distribution. Claim: o so, a = 0.05 Sample statistics: s, = 705, n, =3, s = 368, n, = 9 Find the null and alternative hypotheses. OA Hoio> Hạ: o so3 OC. Hoi o z0 H,: oTest whether µ, <µ, at the a = 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 data table. Determine the null and alternative hypothesis for this test. A. Ho:H1Assume that both populations are normally distributed. (a) Test whether H1 #H2 at the a = 0.05 level of significance for the given sample data. (b) Construct a 95% confidence interval about u, - H2. Population 1 Population 2 13 13 14.1 11.8 4.2 3.1 (a) Test whether u, # H, at the a = 0.05 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. O A. Ho:H1 # H2 H1:H1 = H2 O B. Ho:H1 = H2 H1:41 > H2 OC. Ho:H1 H2 H1:H1> H2 D. Ho:H1 = H2 H1:41 # H2 Detemine the P-value for this hypothesis test. P = (Round to three decimal places as needed.)Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether u, >uz at the a = 0.05 level of significance for the given sample data. (b) Construct a 99% confidence interval about u1 -P2. Population 2 23 Population 1 22 46.4 41.8 4.3 13.1 (a) Identify the null and alternative hypotheses for this test. O A. Ho: H1 = H2 H1: H1 # H2 O B. Ho: H1 =H2 H1: H1 H2 OF. Ho: H1 > H2 H1: H1 = H2 Find the test statistic for this hypothesis test. (Round to two decimal places as needed.)Use a y-test to test the claim o 2 41 at the a = 0.01 significance level using sample statistics s 37.8 and n= 19 Assume the population is normally distributed.Test the hypotheses shown below for a random sample with s = 140 and n= 28 at the 5% significance level. Họ: os 100 H,: o?> 100 Click the icon to view the upper critical values of Chi-square distribution table. For this test at the significance level a with sample variance s, hypothesized variance o, sample size n, and critical value x2: X-11- or x4g/2 and x11-g/2: what is the form of the decision rule? (n-1)s2 (n- 1)s? O A. Reject H, if > Xn-1g/2 or reject H, if 1-1,1-a/2 (n- 1)s2 O B. Reject Ho if (n- 1)s? Oc. Reject H, i -The value obtained for the test statistic, z, in a one-mean z-test is given. Whether the test is two tailed, left tailed, or right tailed is also specified. For parts (a) and (b), determine the P-value and decide whether, at the 1% significance level, the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis. a. The test statistic in a two-tailed test is z = -0.93. The P-value is (Round to three decimal places as needed.) ... sufficient evidence to reject the null hypothesis in favor of the significance level. At the 1% significance level, the data the alternative hypothesis because the obtained P-value is b. The test statistic in a two-tailed test is z = 0.61. The P-value is (Round to three decimal places as needed.) sufficient evidence to reject the null hypothesis in favor of the significance level. At the 1% significance level, the data the alternative hypothesis because the obtained P-value is Time Remaining: 01:57:58 MandUse the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether u1 > H2 at the a = 0.01 level of significance for the given sample data. Population 1 Population 2 24 25 49.6 4.1 (b) Construct a 95% confidence interval about u1 - H2. 45.8 12.7 (a) Identify the null and alternative hypotheses for this test. B. Ho: H1 = H2 H1: H1>H2 O A. Ho: H1 = H2 O C. Ho: H1 + H2 H1: H1 = H2 H1: H1 #H2 O D. Ho: H1 H2 H1: H1 = H2 Find the test statistic for this hypothesis test. (Round to two decimal places as needed.)The value obtained for the test statistic, z, in a one-mean z-test is given. Whether the test is two tailed, left tailed, or right tailed is also specified. For parts (a) and (b), determine the P-value and decide whether, at the 5% significance level, the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis. a. The test statistic in a right-tailed test is z=2.00. The P-value is . 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