): A null hypothesis is that the average blood pressure for adult is 70. For a sample of 60 adults, the average blood pressure is 71.8. A significance test is done, and the p-value is 0.02 what is the most appropriate conclusion? O A. Reject the hypothesis that the sample average is 70 O B. Reject the hypothesis that the population averages 70 O C. Conclude that the population average is 70 O D. Conclude that the population averages 71.8 O E. None of these
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- Use the given info to answer the question: Assume that the population average number of movies watched by Millennials in 2018 has not changed from 5. Under this assumption, if this survey were repeated 10 times, how many times would you expect to incorrectly decide to reject H0 at a 10% significance level? a. 0 times b. 1 time c. 9 times d. 10 times3. Consider the following competing hypotheses: (You may find it useful to reference the appropriate table: z table or ttable) Hypotheses: Hg: HD s 6; HA: HD > 6 Sample results: 01:05:54 d = 8.2, sp = 7.2, n = 11 The following results are obtained using matched samples from two normally distributed populations: a. Calculate the value of the test statistic, assuming that the sample difference is normally distributed. (Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.) Test statistic b. Find the p-value. O pvalue Picture 0.10 0.05 Picture p-value < 0.10 O 0.025 Picture p-value < 0.05 0.01 Picture p-value < 0.025 O p-value < 0.01Suppose that you have to decide if the mean of the light bulbs last longer than 150 hours. You choose a random sample of 14 bulbs of each brand. What decision should you make at the 5% significance level (alpha = 0.05)? 128 189 139 148 186 141 163 101 195 142 174 114 196 191 a. z = -2.576 b. t = +1.796 c. t = + 1.771 d. z = + 1.796
- The estimated standard error in the denominator of the dependent samples t statistic measures how much difference, in average, could be expected between pre- and post measurement by chance (i. e., if a sample is just measured twice without any treatment between the two measurements). A. True B. False ( dont hand writing solution)An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are given in the accompanying table along with the sample sizes. 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). OA. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H₁: H₁ C a. Use a 0.05 significance level to test the claim that giving candy does result in greater tips. What are the null and alternative hypotheses? H₂ H₂ No candy Two candies B. Ho: M₁ = H₂ H₁: H₁ H₂ D. Ho: H₁ μ H₁ H₂ H₂ H₁: M₁1. Teacher Joy conducted a census in her class and she found out that the average time spent for studying is 2.25 hours, average height is 147 cm, and a random sample of 10 students got an average grade of 87%. Which is the statistic?A. 2.25 hoursB. 10 studentsC. 87%D. 147 cm2.. Suppose the null hypothesis states that the mean is less than or equal to 50 kg and the alternative hypothesis states that the mean is greater than 50 kg. Which of the following would commit Type I error?A. Conclude that µ = 50 kg when the truth is µ > 50 kg.B. Conclude that µ > 50 kg when the truth is µ = 50 kg.C. Conclude that µ = 50 kg when the truth is µ < 50 kg.D. Conclude that µ < 50 kg when the truth is µ = 50 kg.3. What variable can the researcher freely manipulate in a study?A. dependent variableB. independent variableC. both the independent and dependent variableD. neither the independent nor the dependent variableUse technology to help you test the claim about the population mean, µ, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: µ> 1170; a = 0.07; o = 212.01. Sample statistics: x= 1185.03, n= 300 Identify the null and alternative hypotheses. Choose the correct answer below. Ο Α. Ho μ2 1185.03 Ο Β. Ho : με 1185.03 Ha: µ 1185.03 O C. H μ2 1170 O D. Ho: µ> 1170 Ha: H 1185.03 Ha: µ> 1170 Ha: us1185.03 Calculate the standardized test statistic. The standardized test statistic is (Round to two decimal places as needed.) Determine the P-value. P = (Round to three decimal places as needed.) Determine the outcome and conclusion of the test. Ho. At the 7% significance level, there enough evidence to the claim.Men Women H2 A 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. 11 97.67°F 0.91°F 59 97.35°F 0.73°F a. Use a 0.05 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? OB. Ho H =H2 O A. Ho 4, 2H2 H: 1Assume that a simple random sample has been selected and test the given claim. Listed below are the lead concentrations in ug/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 16 µg /g. 3.0 7.0 6.0 6.0 19.5 7.5 11.5 19.5 10.5 17.5 O Identify the null and alternative hypotheses for this test. O A. Ho: H 16 µg/g O C. Ho: H= 16 ug/g H1:H<16 µg/g Stua O D. Ho: H= 16 g/g H: µ#16 µg/g Identify the value of the test statistic. (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. O A. Reject Ho. There is not sufficient evidence to support the claim that the mean lead concentration for all such medicines is less than 16 µg /g. B. Fail to reject Ho. There is sufficient evidence to support the claim that the mean lead…Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: H, =0; a= 0.05. Sample statistics: d = 3.2, s, =8.49, n= 9 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Hg: Has0 O B. Ho: Hg #0 H: H >0 Hg: Hg =0 O C. Ho: Ha 0 H: Hg sO O E. Hg: Ha20 F. Hoi Ha =0 H: Hg #0 The test statistic is t= 1.13. (Round to two decimal places as needed.) The critical value(s) is(are) to =-2.31,2.31. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Since the test statistic is the rejection region, V the null hypothesis. There V statistically significant evidence to reject the claim.Suppose that you want to perform a hypothesis test for a population mean. Assume that the population standard deviation is unknown and that the sample size is relatively small. In each part, the distribution shape of the variable under consideration is given. Decide whether you would use the t-test, the Wilcoxon signed-rank test, or neither. a. Triangular b. Symmetric bimodal c. Left skewed4. Given are x = 35, µ = 38, s = 10, n = 20, Determine the statistical test to be used. ール Test Statistic: Z =" Test Statistic: t = A. В. 5. Given are x = 90, µ = 88, o = 6, n = 100. Find the value of z. A. 3.33 B. - 3. 33SEE 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. 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