A data set about speed dating includes "like" ratings of male dates made by the female dates. The summary statistics are n = 194, x= 6.53, s = 2.07. Use a 0.01 significance level to test the claim that the population mean of such ratings is less than 7.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? A. Ho: H = 7.00 H1: µ>7.00 Ο Β. Ho: μ= 7.00 H1: µ<7.00 O D. Ho: μ= 7.00 Ο C. Ho: μ< 7.00 H1: µ>7.00 H1:µ#7.00 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is evidence to conclude that the mean of the population of ratings is 7.00.
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- Determine the Test statistic. Determine the P-Value. State the final conclusion that addresses the original claim.A data set includes data from student evaluations of courses. The summary statistics are nequals=8585, x overbarxequals=3.423.42, sequals=0.540.54. Use a 0.010.01 significance level to test the claim that the population of student course evaluations has a mean equal to 3.503.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.identify the test statistic. Identify the P-value.
- Listed below are the lead concentrations (in µg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Assume that a simple random sample has been selected. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 µg/g. 5.98 5.50 20.54 3.03 6.46 Identify the null and alternative hypotheses. Ho: H 14 H₁: μ 14 (Type integers or decimals. Do not round.) Identify the test statistic. = (Round to two decimal places as needed.) 7.45 12.01 20.47 11.48 17.53 D S Vi I. (1,0) MoreA 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. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: Hq ZH₂ OC. Ho: H₁ H₂ H₁: Hy > H₂ The test statistic, t, is. (Round to two decimal places as needed.) (Round to three decimal places as needed.) The P-value is State the conclusion for the test. C... OB. Ho: H₁ H₂ H₁: Hy #H₂ OD. Ho: Hg #U2 H₁: HyA 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 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho H1 H2 H₁: H1 H2 The test statistic, t, is -1.55. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) OB. Ho: H1 H2 H₁₁₂ D. Ho: H1 H2 H₁: H1 H2 Treatment Placebo μ H₁ H2 n 25 40 X 2.38 2.65 S 0.53 0.87Use the random sample data to test the claim that the mean travel distance to work in California is less than 35 miles. Use 1% level of significance. Sample data: x¯=32.4 mi s=8.3 mi n=35 Identify the tail of the test. Find the P-value Will the null hypothesis be rejected? Is the initial claim supported?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 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H¹/₂ H₁: H₁A data set lists earthquake depths. The summary statistics are equals=600600, x overbarxequals=5.365.36 km, sequals=4.334.33 km. Use a 0.010.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.005.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.The accompanying data set includes volumes (ounces) of a sample of cans of regular Coke. The summary statistics are that a simple random sample has been selected. Use a 0.05 significance level to test the claim that cans of Coke have that consumers are being cheated? Click the icon to view the data set of regular Coke can volumes. Identify the null and alternative hypotheses. H₂: H₁: ▼ (Type integers or decimals. Do not round.) C n = 36, x= 12.193 oz, s = 0.106 oz. Assume mean volume of 12.00 ounces. Does it appearA special academic program for skilled students conduct an admission exam to select their new cohort. The admission exam is known to have a mean score of 66. An examiner thinks that the actual mean score for the most recent applicants is lower than 66. He randomly samples the scores of 18 recent applicants and obtains the average scores as 62.0 with a standard deviation of 8.7. He performs a hypothesis test using a 5% level of significance to reach an appropriate conclusion. a. Calculate the value of the the appropriate test statistic for this test. Answer rounded to at least 2 decimal places. b. Determine the tabulated critical value for this test. Only write the absolute value (without +/- sign) Answer rounded to at least 3 decimal places. c. Determine the p-value for this test. Answer in exact fraction, or rounded to at least 4 decimal places.A large sample size is needed to show significance in a test of two population standard deviation. O True O FalseSEE 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. 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