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 = 43.4 s = 7.4 n = 15 a = 0.05 Ho: µ = 32.6 H1: µ # 32.6 1. The test statistics is (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)

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…

Complete parts (a) and (b) below. Click here to view Page 1 of the table of areas under the standard normal curve. Click here to view Page 2 of the table of areas under the standard normal curve. a. The test statistic in a right-tailed test is z= 1.71. 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. The P-value is (Round to three decimal places as needed.) This P-value V sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis because it is V the significance level. b. The test statistic in a right-tailed test is z= - 0.82. 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. The P-value is (Round to three decimal places as needed.) This P-value sufficient evidence to reject the null hypothesis in…

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 0.01 significance level for both parts.     Diet Regular   μ μ1 μ2 n 33 33 x 0.78488 lb 0.80356 lb s 0.00444 lb 0.00744 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. i) What are the null alternative hypothesis?   ii) What's the test statics?   iii) What's the P-value?   iv) State the conclusion   vi) construct a confidence interval suitable suitable for testing the claim that the two samples are from populations with the same mean   vii) Does the confidence interval…

A 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 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.     Treatment Placebo   μ μ1 μ2 n 27 39 x 2.38 2.65 s 0.87 0.61 a. Test the claim that the two samples are from populations with the same mean.   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 Your answer is correct. The test​ statistic, t, is   ​(Round to two decimal places as​ needed.)

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 20 20 x 0.78646 lb 0.80233 lb s 0.00449 lb 0.00755 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…

Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"

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 26 26 x 0.78073 lb 0.80038 lb s 0.00447 lb 0.00745 lb       Question content area bottom Part 1 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 Your answer is correct.   C. H0​: μ1≠μ2 H1​: μ1<μ2   D. H0​: μ1=μ2 H1​: μ1≠μ2 Part 2 The test​ statistic, t, is…

I need help only with the lat part of the exercise