Assume that both populations are normally distributed. a) Test whether u >H2 at the a = 0.01 level of significance for the given sample data. b) Construct a 99% confidence interval about u - 42- Sample 1 28 52.6 Sample 2 23 44.1 9.4 O A. Ho: H1 H2 O B. Ho: H1 =P2, H: H1 H2, H: H1 H2 Determine the test statistic. t= (Round to two decimal places as needed.) Approximate the P-value. Choose the correct answer below. O A. P-value 20.10 O B. P-value <0.01 O C. 0.05 s P-value <0.10 O D. 0.01 sP-value <0.05 Should the hypothesis be rejected at the a = 0.01 level of significance? V the null hypothesis because the P-value is V the level of significance. b) The confidence interval is the range from to (Round to two decimal places as needed. Use ascending order
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- 112) Suppose that we want to estimate the 0.80 quantile of average daily waiting time in the queue for assembly process in a manufacturing system and form 90% confidence interval for it, based on R=20 replications. The average waiting time data collected from a simulation model of the manufacturing system is given in Table 1 below. Replication Avg. Waiting Replication Avg. Waiting Replication Avg. Waiting Replication Avg. Waiting No No No Time No Time 1 16 4,8 6 2,3 11 2,2 7 3,8 3,9 2,2 8 2,2 4,5 9 2,1 4,4 2,3 2,4 10 3,1 4,3 a. Calculate the point estimator and interpret it b. Calculate the confidence interval 2 3 4 5 Time 3,3 12 13 14 15 Time 2,5 3,3 3,2 4 3,4 17 18 19 20A recent study of 1000 randomly chosen residents in each of two randomly selected states indicated that the presents of people living in those states who were born in foreign countries was 6.5% for State A and 1.7% for State B. Find a 99% (z = 2.576) confidence interval for the difference between the proportions of foreign-born residents for these states. A. Discuss the appropriate conditions. 3 BIUA A LEX, EE 12pt Paragraph
- K Assume that both populations are normally distributed. a) Test whether ₁>₂ at the α = 0.05 level of significance for the given sample data. b) Construct a 95% confidence interval about ₁₂. a) Perform a hypothesis test. Determine the null and alternative hypotheses. OA. Ho: H1 H₂ O B. Ho: H=H2, HHThe data below are yields for two different types of corn seed that were used on adjacent plots of land. Assume that the data are simple random samples and that the differences have a distribution that is approximately normal. Construct a 95% confidence interval estimate of the difference between type 1 and type 2 yields. What does the confidence interval suggest about farmer Joe's claim that type 1 seed is better than type 2 seed?Type 1 2143 2024 2142 2433 2142 2034 2211 1484 Type 2 2089 1924 2078 2467 2132 1949 2197 1482Assume that both populations are normally distributed. a) Test whether µ, >H, at the a = 0.05 level of significance for the given sample data. Sample 2 12 Sample 1 20 b) Construct a 95% confidence interval about u, - H2. 47.5 37.6 6.9 9 E Click the icon to view the Student t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. O A. Ho: H1 H2 O B. Ho: H1 = H2, H4: H1 H2 O D. Ho: H1 > H2, Hq:HqSample 1 Assume that both populations are normally distributed. a) Test whether µ, # µ, at the = 0.05 level of significance for the given sample data. b) Construct a 95% confidence interval about u, - H2- Sample 2 17 17 13 14.3 X 3.5 3.1 E Click the icon to view the Student t-distribution table. a) Perform a hypothesis test. Determine the null and alternative hypotheses. CA. Ho: H1 = H2, Hq:Hy # H2 O B. Ho: H1 = H2, H,: H1 Hz Determine the test statistic. t= - 1.15 (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) O A. The critical value is O B. The lower critical value is The upper critical value isThe impact energy is an important standard in metallic materials. Ten measurements of impact energy (J) on a steel sample are observed: 64.1, 64.7, 64.5, 64.6, 64.5, 64.3, 64.6, 64.8, 64.2 and 64.3. a) Find the 95% two-sided confidence interval for u. b) Determine the sample size if we would like to bound the length of the 95% two- sided confidence interval of u within 0.15 J (assume the sample standard deviation remains the same as of the ten measurements).8.31 In a survey of 823 human resource professionals concerning challenges they faced in the workplace, 329 said that employee retention/turnover was an important challenge and 181 said that employee satisfaction was an important challenge. Source: Data extracted from R. King, "Companies Want to Know How Do Workers Feel," Wall Street Journal, October 14, 2015, p. R3. a. Construct a 95% confidence interval estimate of the population proportion of human resource professionals who believe that employee retention/turnover was an important challenge. b. Construct a 95% confidence interval estimate of the population proportion of human resource professionals who believe that employee satisfaction was an important challenge.Assume that both populations are normally distributed. a) Test whether u > H2 at the a = 0.01 level of significance for the given sample data. b) Construct a 99% confidence interval about u - 42. 177 Sample 1 24 51.7 9.5 Sample 2 43.1 99 O A. Ho: H1 = H2, H:Hq>H2 O B. Ho: H1 = H2, HH1H2, H1: H1 H2 Determine the test statistic. %3D (Round to two decimal places as needed.) Approximate the P-value. Choose the correct answer below. O A. P-value 20.10 O B. P-value <0.01 O C. 0.01 s P-value <0.05 O D. 0.05 s P-value <0.10 Should the hypothesis be rejected at the a = 0.01 level of significance? V the null hypothesis because the P-value is the level of significance. b) The confidence interval is the range from to (Round to two decimal places as needed. Use ascending order.)8. Let x be a random variable that represents the hemoglobin count (HC) in human blood (measured in grams per milliliter). In healthy adult females, x has an approximately normal distribution with a population mean of µ =14.2, and population standard deviation of o = 2.5. Suppose a female patient had 10 blood tests over the past year, and the sample mean HC was determined to be x= 15.1. With a level of significance a = .05 determine whether he patient's HC is higher than the population average. 16 étv F3 DIL F4 F6 7 8 Rb) The following table gives the weekly sales of hand gloves for a random sample of 40 weeks in store A: Sales (pairs) Number of weeks 30 -< 40 1 40 - < 50 3 50 - < 60 8 60 -< 70 12 70 -< 80 80 - < 90 3 90 -< 100 4 Construct a 95% confidence interval for the population proportion of weeks having sales at least 80 pairs.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. 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