A manager is interested in determining if the population standard deviation has dropped below 90. Based on a sample of n 23 items selected randomly from the population, conduct the appropriate hypothesis test at a 0.10 significance level. The sample standard deviation is 68. ..... Determine the null and alternative hypotheses. O A. Ho: o <90 HA o 2 90 O B. Ho: o = 90 HA o 90 O C. Ho o 28,100 HA o <8,100 O D. Ho o² <8,100 HA o 2 8,100 State the decision rule. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. (Round to four decimal places as needed.) O A. If the test statistic, x> X = reject Ho. Otherwise, do not reject Ho. O B. If the test statistic, x2 = reject Ho or if the test statistic, x
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- Need asap...give detailed solution ThanksThe average starting salary of students who graduated from colleges of Business in 2009 was $48,800. A sample of 100 graduates of 2010 showed an average starting salary of $50,000. Assume the standard deviation of the population is known to be $7000. We want to determine whether or not there has been a significant increase in the starting salaries. a. State the null and alternative hypotheses to be tested. b. Compute the test statistic. c. The null hypothesis is to be tested at the 5% level of significance. Determine the critical value for this test. d. What do you conclude from the test? e. What does the test result mean in the context of this problem?Access the hourly wage data on the below Excel Data File (Hourly Wage). An economist wants to test if the average hourly wage is less than $29. Assume that the population standard deviation is $5. Click here for the Excel Data File a. Select the null and the alternative hypotheses for the test. Hg: H = 29; HA: µ + 29 Ο Hg: μ 29 Hg: H 2 29; HA: H < 29 b-1. Find the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) * Answer is complete but not entirely correct. Test statistic -2.40 8 b-2. Find the p-value. p-value < 0.01 O O p-value 2 0.10 O 0.05 s p-value < 0.10 O 0.025 s p-value < 0.05 O 0.01 s p-value < 0.025
- An archer’s standard deviation for his hits is six (data is measured in distance from the center of the target). An observer claims the standard deviation is less.a. What type of test should be used?b. State the null and alternative hypotheses.c. Is this a right-tailed, left-tailed, or two-tailed test?In case of hypothesis testing in places where population variances are unknown and sample size is large (nl and n22 30), sample variances can be a good approximation of population variances. Which best describe this statement? Select one: O a. None of the choices O b. The statement is true c. The statement is false O d. Not enough data to support the statement O e. The statement is neither true nor falseA study was done on body temperatures of men and women. 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. a. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? A. Ho: M₁ = ₂ H₁: H₁ H₂ C. Ho: M₁ = H2 H₁: H₁ H₂ The test statistic, t, is (Round to two decimal places as needed.) B. Ho: H₁ H₂ H₁ H₁The mean annual tuition and fees for a sample of 14 private colleges in California was $37,900 witrh a standard deviation of $7,200. A dotplot shows that it is reasonable to assume that the population is approxiamately normal. Can you conclude that the mean tuition and fees for private institutions in California differs from $35,000? a. State the null and alternate hypothesis. b. Compute the value of the t statistic. How many degrees of fredom are there?A golf analyst claims that the standard deviation of the 18-hole scores for a golfer is at most 3.1 strokes. State Ho and H, in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning. ..... State the null hypothesis in words and in symbols. Choose the correct answer below. A. The null hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is not 3.1 strokes." The null hypothesis is expressed symbolically as, "Ho: σ7 3.1." B. The null hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is at least 3.1 strokes." The null hypothesis is expressed symbolically as, "Ho: o2 3.1." C. The null hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is at most 3.1 strokes." The null hypothesis is expressed symbolically as, "Ho: os3.1." D. The null hypothesis expressed in words is, "the…a. State the null and alternative hypothesis.Given in the table are the BMI statistics for random samples of men and women. 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. a. Use a 0.05 significance level, and test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁ H₁ H₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic, t, is The P-value is . (Round to two decimal places as needed.) (Round to three decimal places as needed.) State the conclusion for the test. OB. Ho: H₁ H₂ H₁: H₁ H₂ OD. Ho: H₁ = H₂ H₁: H1 H₂ O A. Fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. O B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have…A manager is interested in determining if the population standard deviation has dropped below 103. Based on a sample of n = 27 items selected randomly from the population, conduct the appropriate hypothesis test at a 0.10 significance level. The sample standard deviation is 69. O D. Họ: o = 103 HA:o # 103 State the decision rule. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. (Round to four decimal places as needed.) O A. If the test statistic, x>x212 =, reject H, or if the test statistic, x x = reject Ho. Otherwise, do not reject Ho- OC. If the test statistic, xGiven in the table are the BMI statistics for random samples of men and women. 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. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁:₁SEE 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. 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