Use a t-test to test the claim about the population mean u at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: u2 8300; a = 0.05 Sample statistics: x= 8000, s= 450, n=24 What are the null and alternative hypotheses? O A. H u#8300 H, u= 8300 O B. H,: u= 8300 H, u#8300 OC. Ho us 8300 H, p> 8300 O D. H,: µ2 8300 H, u<8300
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- Use technology to help you test the claim about the population mean, μ, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: μ> 1170; x = 0.08; a=207.79. Sample statistics: x= 1198.51, n = 250 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: 21170 H₂H 1198.51 H:Hs 1198.51 Calculate the standardized test statistic. The standardized test statistic is (Round to two decimal places as needed.) Determine the P-value. P= (Round to three decimal places as needed.) Determine the outcome and conclusion of the test. D Ho. At the 8% significance level, there OB. Ho: s1198.51 H: 1198.51 O D. Ho: 1170 H₂: ≤1170 OF. Ho: HS1170 H₂: > 1170 enough evidence to the claim.Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the difference between two population proportions p, and p, at the given level of significance a using the given sample statistics. Assume the sample statistics are from independent random samples. Claim: P1 = P2, a = 0.10 Sample statistics: X1 = 108, n, = 128 and x, = 32, n, = 195 ... Ha: P1 7 P2 O E. Anormal sampling distribution cannot be used, so the claim cannot be tested. Find the critical values. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The critical values are - z, = 1.28 and zo =1.28 (Round to two decimal places as needed.) B. A normal sampling distribution cannot be used, so the claim cannot be tested. Find the standardized test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (Round to two decimal places as needed.) Z= B. A normal sampling distribution…Identify the p value and state the final conclusion
- Given in the table are the BMI statistics for random samples of men and women. 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 0.01 significance level for both parts. a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H₂ H₁ H₁ H₂ The test statistic, t, is The P-value is (Round to two decimal places as needed.) (Round to three decimal places as needed.) State the conclusion for the test. C O B. Ho: H=H2 H₁: H₁ H₂ OD. Ho Hy#t H₁: H₁ H₂ O A. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the…Use technology to help you test the claim about the population mean, µ, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: µ> 1170; a = 0.07; o = 212.01. Sample statistics: x= 1185.03, n= 300 Identify the null and alternative hypotheses. Choose the correct answer below. Ο Α. Ho μ2 1185.03 Ο Β. Ho : με 1185.03 Ha: µ 1185.03 O C. H μ2 1170 O D. Ho: µ> 1170 Ha: H 1185.03 Ha: µ> 1170 Ha: us1185.03 Calculate the standardized test statistic. The standardized test statistic is (Round to two decimal places as needed.) Determine the P-value. P = (Round to three decimal places as needed.) Determine the outcome and conclusion of the test. Ho. At the 7% significance level, there enough evidence to the claim.Assume that a simple random sample has been selected and test the given claim. Listed below are the lead concentrations in μg/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14 μg/g. 3.5 7.0 6.0 5.5 20.0 8.0 12.0 21.5 11.0 17.0 Identify the null and alternative hypotheses for this test. A. H0: μ=14 μg/g H1: μ<14 μg/g B. H0: μ<14 μg/g H1: μ=14 μg/g C. H0: μ=14 μg/g H1: μ>14 μg/g D. H0: μ=14 μg/g H1: μ≠14 μg/g Click to select your answer and then click Check Answer.
- Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: H, =0; a= 0.05. Sample statistics: d = 3.2, s, =8.49, n= 9 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Hg: Has0 O B. Ho: Hg #0 H: H >0 Hg: Hg =0 O C. Ho: Ha 0 H: Hg sO O E. Hg: Ha20 F. Hoi Ha =0 H: Hg #0 The test statistic is t= 1.13. (Round to two decimal places as needed.) The critical value(s) is(are) to =-2.31,2.31. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Since the test statistic is the rejection region, V the null hypothesis. There V statistically significant evidence to reject the claim.Suppose that you want to perform a hypothesis test for a population mean. Assume that the population standard deviation is unknown and that the sample size is relatively small. In each part, the distribution shape of the variable under consideration is given. Decide whether you would use the t-test, the Wilcoxon signed-rank test, or neither. a. Triangular b. Symmetric bimodal c. Left skewedFind the standardized test statistic estimate, z, to test the hypothesis that p, > p,. Use a= 0.01. The sample statistics listed below are from independent samples. Round to three decimal places. Sample statistics: n, = 100, x, = 38, and n2 = 140, X2 = 50 %3D %D O A. 0.638 B. 0.362 O C. 2.116 D. 1.324 S ting Click to select your answer. Type here to search hp 近
- Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Refer to the accompanying data set. Use a 0.05 significance level to test the claim that women and men have the same mean diastolic blood pressure. a. The test statistic is (Round to two decimal places as needed.) b. The P-value is (Round to three decimal places as needed.)Use technology to help you test the claim about the population mean, μ, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: μ> 1170; x = 0.08; a=207.79. Sample statistics: x= 1198.51, n = 250 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: 21170 H₂H 1198.51 H:Hs 1198.51 Calculate the standardized test statistic. The standardized test statistic is (Round to two decimal places as needed.) Determine the P-value. P= (Round to three decimal places as needed.) Determine the outcome and conclusion of the test. D Ho. At the 8% significance level, there OB. Ho: s1198.51 H: 1198.51 O D. Ho: 1170 H₂: ≤1170 OF. Ho: HS1170 H₂: > 1170 enough evidence to the claim.Given in the table are the BMI statistics for random samples of men and women. 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. a. Use a 0.05 significance level, and test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁ H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic, t, is The P-value is . (Round to two decimal places as needed.) (Round to three decimal places as needed.) State the conclusion for the test. OB. Ho: H₁ H₂ H₁: H₁ H₂ OD. Ho: H₁ = H₂ H₁: H1 H₂ O A. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have…