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, u, of the population from which the sample was drawn. Use the critical-value approach. Sample mean = 43.9 S = 5.3 %3D n 15 a = 0.05 Ho: H = 32.6 H1: H # 32.6 1. The test statistics is 1.03 (Round to three decimal places) 2. The critical value(s) is/are (If there are two critical values separate each with a comma.) 3. The decision is to the null hypothesis. (Enter R if you reject and enter F if you fail to reject)
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- Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. 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. Diet Regular μ μ1 μ2 n 21 21 x 0.78629lb 0.81612lb s 0.00442lb 0.00748lb =< The test statistic, t, is __ (round to two decimal places) The P-value is __ (round to three decimal places) State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean…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 Treatment Placebo μ μ1 μ2 n 28 32 x 2.35 2.61 s 0.95 0.66 What is the null and alternative hypotheses? The test statistic, t, is? The P-value is? Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. ?<μ1−μ2<?Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. 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. Diet Regular μ μ1 μ2 n 34 34 x 0.79146 lb 0.81544 lb s 0.00437 lb 0.00752 lb A. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? A. H0: μ1≠μ2 H1: μ1<μ2 B. H0: μ1=μ2 H1: μ1<μ2 C. H0: μ1=μ2 H1: μ1>μ2 D. H0: μ1=μ2 H1: μ1≠ The test statistic, t, is ______.(Round to two decimal places as needed.) B. Construct a confidence interval…
- Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. 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. Diet Regular H2 40 40 0.78244 lb 0.81852 lb 0.00435 lb 0.00752 lb a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? B. Ho: H1 H2 O A. Ho: H1=42 H: P1Astudy 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. 26 2.35 0.87 40 2.6 054 a Test the claim that the two samples are from populations with the same mean.Treatment Placebo 3. H1 H2 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. A study was done using a treatment group and a placebo group. The results are shown in the 27 40 In 2.39 2.65 0.95 0.57 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 = H2 O B. Ho: H1H2 D. Ho: H1 H2 The test statistic, t, is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. O A. 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. O B. Reject the null hypothesis. There is not sufficient evidence to warrant rejection…Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. 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. Diet Regular μ μ1 μ2 n 28 28 x 0.79741 lb 0.81023 lb s 0.00442 lb 0.00749 lb a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? A. H0: μ1=μ2 H1: μ1≠μ2 B. H0: μ1≠μ2 H1: μ1<μ2 C. H0: μ1=μ2 H1: μ1>μ2 D. H0: μ1=μ2 H1: μ1<μ2 The test statistic, t, is nothing. (Round to two decimal places as needed.) The P-value is nothing.…The accompanying data table lists the magnitudes of 50 earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample.Determine the Test statistic. Determine the P-Value. State the final conclusion that addresses the original claim.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: 41A sample mean, sample size, and sample standard deviation are provided below. Use the one-mean t-test to perform the required hypothesis test at the 10% significance level. x=25, s=10, n=24, H0: μ=24, Ha: μ>24 The test statistic is t= (round to two decimals as needed)A random sample of 49 cans of soda is obtained and the contents are measured. The sample mean is 12.01 oz and the standard deviation is 0.13 oz. Test the claim that the contents of all such cans have a mean different from 12.00 oz, as indicated by the label. Use a 0.05 significance level. Find the Z score And the P value. 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