Provided 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 = 11, S₁ = 2.5, n₁ = 15, x₂ = 14, s₂ = 2.2, n₂ = 15 a. Two-tailed test, α = 0.10 b. 90% confidence interval Next, compute the test statistic. t= (Round to three decimal places as needed.) Now determine the critical values. ±ta/2= ± (Round to three decimal places as needed.) What is the conclusion of the hypothesis test? Since the test statistic in the rejection region, to. (... b. The 90% confidence interval is from (Round to three decimal places as needed.) Ho Time Remaining: 01:19:43 Next
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- Provided below are summary statistics for independent simple random samples from two populations. Use the pooled t-test and the pooled tinterval procedure to conduct the required hysothe * 12, s, =22, n, 19, 15, s, =24, ng = 19 a. Two-tailed test, a0.10 b. 90% confidence interval OA H 2 OB H OD H P2 OC H H2 OF H OE H H H Next, compute the test statistic (Round to three decimal places as needed.) Finally, determine the Pvalun P- (Round to four decimal s as needed) What is the conclusion of the hypothesis test? than a Since the Pvalue b. The ON oonfidence interval is from (Round to three decimal piaces as needed) Time AWe have developed a new drug used to reduce fever and want to test its efficacy. Ten ER patients who are running a fever agree to take the new drug instead of the traditional treatment. Their temperatures are taken before the drug is administered and 30 minutes after taking the drug. The results are recorded in the Excel file below. Use the data to construct and interpret a 99% confidence interval for the mean change in temperatures of patients after taking this drug using Excel. Be sure to include any explanation necessary along with a sentence that explains what the interval means. First Temp Second Temp 100.1 98.9 101.3 99.1 102.1 99.2 102.7 99 101.9 98.7 100.8 98.6 103.1 99.4 102.5 99.2 103.5 100.1 101.7 99.2Two groups were selected for an experiment. The sample data is reported: Group A Group B Sample Mean Spending/day ($) 170 150 Sample Standard deviation ($) 10 5 # of Females 9 7 Sample Size 36 42 a. Set up a 99% confidence interval for the mean difference in spending between the two groups. b. At the 10% level test the alternate hypothesis that group B has lower spending level than Group A.
- 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.Estimate the minimum sample size needed to achieve the margin of error E= 0.026 for a 95% confidence interval.Suppose a test is given to 20 randomly selected college freshmen in Ohio. The sample average score on the test is 12 points and the sample standard deviation is 4 points. Suppose the same test is given to 16 randomly selected college freshmen in Iowa. The sample average score on the test is 8 points and the sample standard deviation is 3 points. We want to test whether there is a significant difference in scores of college freshmen in Ohio versus Iowa. Does the 90% confidence interval indicate that there is evidence of a difference in population means? Group of answer choices Yes Not enough information NoFind the value for each ta/2 Prompts Submitted Answers n = 18 for the 99% confidence interval for the Choose a match mean. n = 10 for the 90% confidence interval for the Choose a match mean. n = 15 for the 98% confidence interval for the Choose a match mean.Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 22 having a common attribute. The second sample consists of 1900 people with 1375 of them having the same common attribute.compare results from a hypothesis test of p1-=p2 with a 0.05 significance level and a 95% confidence interval estimate of p1-p2 .Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 16 having a common attribute. The second sample consists of 2000 people with 1409 of them having the same common attribute. Compare the results from a hypothesis test of p, = p2 (with a 0.01 significance level) and a 99% confidence interval estimate of p, -P2. O A. Ho: P1 SP2 H1: P1 #P2 O B. Ho: P1 *P2 H1: P1 = P2 OC. Ho: P1 = P2 H1: P, > P2 O D. Ho: P1 2 P2 H: P1 +P2 O E. Ho: P1 = P2 H:P1 #P2 OF. Ho: P1 =P2 H;: P1Estimate the minimum sample size needed to achieve the margin of error E=0.013 for a 95% confidence interval.Estimate the minimum sample size needed to achieve the margin of error E = 0.026 for a 95% confidence interval. The minimum sample size is (Round up to the nearest integer.)Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 20 having a common attribute. The second sample consists of 1800 people with 1291 of them having the same attribute. Compare the results from a hypothesis test p1=p2 (with a 0.05 significance level) and a 95% confidence interval estimate of p1-p2. What are the null and alternative hypotheses for the hypothesis test?SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. FreemanMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman