A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean, μ, of the population from which the sample was drawn. Use the critical-value approach. Sample mean = 43.5 s = 5.9 n = 15 α = 0.05 H0: µ = 32.6 H1: µ ≠ 32.6 The test statistics is (Round to three decimal places) The critical value(s) is/are (If there are two critical values separate each with a comma.) The decision is to the null hypothesis. (Enter R if you reject and enter F if you fail to reject)
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A sample
Sample mean = 43.5 s = 5.9 n = 15 α = 0.05
H0: µ = 32.6
H1: µ ≠ 32.6
- The test statistics is (Round to three decimal places)
- The critical value(s) is/are (If there are two critical values separate each with a comma.)
- The decision is to the null hypothesis. (Enter R if you reject and enter F if you fail to reject)
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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≠5000; α=0.08; σ=393. Sample statistics: x=5400, n=37 Calculate the standardized test statistic. _____? The standardized test statistic is _____? .(Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) A. The critical value is _____? . B. The critical values are ± _____? Determine the outcome and conclusion of the test. Choose from the following. A.Reject H0. At the 8% significance level, there is enough evidence to reject the claim. B.Fail to reject H0. At the 8% significance level, there is not enough evidence to reject the claim. C.Reject H0. At the 8% significance level, there is enough evidence to support the claim. D. Fail to reject H0. At the 8% significance…test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p₁>P2. The sample data are x₁ = 116, n₁ =249, x₂ = 138, and n₂ = 306. (a) Choose the correct null and alternative hypotheses below. OA. Ho: P₁ P₂ versus H₁: P₁ P2 B. Ho: P₁ = 0 versus H₁: P₁ #0 W OC. Ho: P₁ = P₂ versus H₁: P₁ P₂ OD. Ho: P₁ P2 versus H₁: P₁ P₂ w an example Get more help Clear all 17 e Check answer 6:51 PM 3/2/2024 C GA sample mean, sample size, and population standard deviation are provided below. Use the one-mean z-test to perform the required hypothesis test at the 10% significance level. x=26 n=20, σ=6 H0: μ=24 Ha: μ>24 The test statistic is z=___________ (Round to two decimal places as needed.) Identify the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) A. The critical values are ±zα/2=±______________ B. The critical value is −zα=_____________ C. The critical value is zα=___________ _____ (Reject, do not reject) the null hypothesis. The data ____________________(do not provide, provide sufficient) evidence to conclude that the mean is (less than 40, equal to 40, not equal to 40, greater than 40)
- Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal.Test H0 : μ=15 vs Ha : μ>15 using the sample results x¯=17.2, s=6.4, with n=40. Give the test statistic and the p-value. What is the conclusion?H1 H2 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 0.10 significance level for both parts. 25 36 2.37 2.69 s 0.69 0.96 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O A. Ho: H1 <#2 H: H1 2 42 VB. Họ: H1 = P2 H: 1 42 O C. Ho: H1 #H2 O D. Ho: H1 = H2 H: 41Treatment Placebo 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 0.10 significance level for both parts. H1 H2 In 34 31 2.39 2.68 S 0.62 0.98 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O B. Ho: H1 H2 OC. Ho: H1 =H2 O D. Ho: H1 H2 H1: H1Male BMI Female BMI se H2 47 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 0.05 significance level for both parts. n 47 26.3343 27.3646 8.781948 se 5.636805 se What are the null and alternative hypotheses? se O B. Ho H1 = H2 H1 H1 #H2 O A. Ho H1 H2 H1: H1 H2 O D. H, H1 #H2 H1: H1 < H2 se The test statistic, t, is. (Round to two decimal places as needed.) se The P-value is (Round to three decimal places as needed.)Test the claim below about the mean of the differences for a population of paired data at the level of significance x. Assume the samples are random and dependent, and the populations are normally distributed. Claim: μ ≥0; x = 0.10. Sample statistics: d= -2.4, s = 1.3, n = 19 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: Hd 0 The test statistic is t = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Since the P-value is the level of significance, C OB. Ho: Hd>0 Ha: Hd ≤0 O D. Ho: Hd #0 Ha: Hd = 0 OF. Ho: Hd 20 Ha: Hd <0 the null hypothesis. There statistically significant evidence to reject the claim.Use a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed. Claim: μ=52,500; α=0.10 Sample statistics: x=52,691, s=1900, n=17 LOADING... Click the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. A. H0: μ≠52,500 Ha: μ=52,500 B. H0: μ≤52,500 Ha: μ>52,500 C. H0: μ=52,500 Ha: μ≠52,500 D. H0: μ≥52,500 Ha: μ<52,500 What is the value of the standardized test statistic? The standardized test statistic is nothing. (Round to two decimal places as needed.) What is(are) the critical value(s)? The critical value(s) is(are) nothing. (Round to three decimal places as needed. Use a comma to separate answers as needed.) Decide whether to reject or fail to reject the null hypothesis. A. Fail to reject H0.…Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5% significance level. Assume the results come from a random sample, and if the sample size is small, assume the underlying distribution is relatively normal.Test H0 : μ=4 vs Ha : μ≠4 using the sample results x¯=4.8, s=2.3, with n=15. Give the test statistic and the p-value. What is the conclusion?Treatment Placebo 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. H1 H2 n 26 34 2.32 2.66 0.61 0.99 "TPL P2 OC. Ho: H1 H2 The test statistic, t, is -1.64. (Round to two decimal places as needed.) The P-value is 0.107. (Round to three decimal places as needed.) State the conclusion for the test. A. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. C. Fail to reject the null hypothesis. There is not sufficient evidence…Treatment Placebo 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. 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