Assume that both populations are normally distributed. a) Test whether 4, # µ2 at the a = 0.05 level of significance for the given sample data. Sample 1 Sample 2 10 10 b) Construct a 95% confidence interval about u, - 42- 10.9 8.9 3.1 2.2 Click the icon to view the Student t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. O A. Ho: H1 = 42. H1: H1> H2 B. Họ: H1 = H2, H4:P1 *#2 O C. Ho: H1 = H2. H1: H1
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- Test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ=50; a=0.09; a=3.15. Sample statistics: x=48.6, n = 68 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: >50 OB. Ho: 50 H₂: H=50 = 50 OC. Ho: 50 Calculate the standardized test statistic. The standardized test statistic is. (Round to two decimal places as needed.) example Get more help. Η: μ OD. Ho: H=50 H₂: <50 F. Ho: H=50 Ha: H50 Clear all Final check不 A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. EZCH H n X S b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.Assume that both populations are normally distributed. a) Test whether µ, >H, at the a = 0.05 level of significance for the given sample data. Sample 2 12 Sample 1 20 b) Construct a 95% confidence interval about u, - H2. 47.5 37.6 6.9 9 E Click the icon to view the Student t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. O A. Ho: H1 H2 O B. Ho: H1 = H2, H4: H1 H2 O D. Ho: H1 > H2, Hq:HqTest 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:H1Provided below are summary statistics for independent simple random samples from two populations. Use the pooled t-test and the pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. X1 = 13, s, = 2.4, n1 = 13, X2 = 16, s2 = 2.1, n2 = 13 a. Two-tailed test, a = 0.01 b. 99% confidence interval a. First, what are the correct hypotheses for a two-tailed test? O A. Ho: H1 = H2 Ha: H1 > H2 O B. Ho: H1> H2 Hạ: 41 = 12 O C. Ho: H1Assume that both populations are normally distributed. a) Test whether u >H2 at the a = 0.01 level of significance for the given sample data. b) Construct a 99% confidence interval about u - 42- Sample 1 28 52.6 Sample 2 23 44.1 9.4 O A. Ho: H1 H2 O B. Ho: H1 = H2, H:Hq H2, HHy H2 Determine the test statistic. t= (Round to two decimal places as needed.) Approximate the P-value. Choose the correct answer below. O A. P-value 20.10 O B. P-value <0.01 O C. 0.05 s P-value <0.10 O D. 0.01 SP-value <0.05 Should the hypothesis be rejected at the a = 0.01 level of significance? V the null hypothesis because the P-value is V the level of significance. b) The confidence interval is the range from to (Round to twwo decimal places as needed. Use ascending orderThe following data represents the number of insects counted in two different locations (A and B). Construct a 80% confidence interval for o²/02B. (round to the nearest tenth): DATA: Observation 1 2 3 4 5 6 7 8 9 LOCATION A 45 45 32 46 45 44 43 49 48 LOCATION B 49 41 49 42 48 42 49 47 1. In the answer box enter the upper confidence interval. 2. Evaluate the confidence interval and indicate if the variances are (yes) or are not (no) homogeneous (yes/no; place your answer right beside the upper confidence interval. Do not leave a space between the two answers).Provide an appropriate response. Construct a 95% confidence interval for u1 -µ2. Two samples are randomly selected from normal populations. The sample statistics are given below. n1 = 8 x1= 4.1 n2 = 7 %3D x2 = 5.5 S2 = 2.51 $1 = 0.76 (-1.679, 1.987) (-3.813, 1.013) (-1,132, 1.543) (2.112, 2.113)Sample 1 Assume that both populations are normally distributed. a) Test whether µ, # µ, at the = 0.05 level of significance for the given sample data. b) Construct a 95% confidence interval about u, - H2- Sample 2 17 17 13 14.3 X 3.5 3.1 E Click the icon to view the Student t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. CA. Ho: H1 = H2, Hq:Hy # H2 O B. Ho: H1 = H2, H,: H1 Hz Determine the test statistic. t= - 1.15 (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) O A. The critical value is O B. The lower critical value is The upper critical value isA recent study investigated if the distribution of gender is the same across all academic ranks. Data were collected by taking a random sample of individuals from within each academic rank and then recording each individuals gender. Use the output below to conduct the appropriate hypothesis test. Use a 0.05 level of significance. Null and alternative hypotheses Test Statistic value p-value decision based on the p-valueAssume that both populations are normally distributed. a) Test whether u > H2 at the a = 0.01 level of significance for the given sample data. b) Construct a 99% confidence interval about u - 42. 177 Sample 1 24 51.7 9.5 Sample 2 43.1 99 O A. Ho: H1 = H2, H:Hq>H2 O B. Ho: H1 = H2, HH1H2, H1: H1 H2 Determine the test statistic. %3D (Round to two decimal places as needed.) Approximate the P-value. Choose the correct answer below. O A. P-value 20.10 O B. P-value <0.01 O C. 0.01 s P-value <0.05 O D. 0.05 s P-value <0.10 Should the hypothesis be rejected at the a = 0.01 level of significance? V the null hypothesis because the P-value is the level of significance. b) The confidence interval is the range from to (Round to two decimal places as needed. Use ascending order.)Provide an appropriate response. Test the hypothesis that p1 = P2. Use a = 0.05. The sample statistics listed below are from independent samples. Sample statistics: n1 = 50, x1 35, and n2 = 60, x2 = 40 Step 1) State the null and alternative hypotheses. Step 2) Determine the critical value for the level of significance, a. Step 3) Find the test statistic or P-value. Step 4) Will the researcher reject the null hypothesis or do not the null hypothesis: Step 5) Write the conclusion. 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