K The graph to the right portrays the decision criterion for a hypothesis test for a population mean μ. The null hypothesis for the test is Ho: =Ho. The curve in the graph is the normal curve for the test statistic under the assumption that the null hypothesis is true. Complete parts (a) through (f) below. a. Determine the rejection region. OA. z<2.054 OB. z≥2.054 OC. z>2.054 OD. z≤ -2.054 or z22.054 b. Determine the nonrejection region. OA. -2.054 ≤z≤ 2.054 B. z 22.054 .... Do not reject Ho Reject I I Ho I I I I 0.02 0 2.054 Z Q
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- Hypothesis Testing: Z-Distribution According to an NDP Group report, the mean number of meals prepared and eaten at home is 700 per year. Suppose that a random sample of 36 households showed a sample mean number of meals prepared and eaten at home was 690. Assume σ = 40. Test whether the population mean number of such meals is less than 700 using a significance level of 0.01. a. State the null and alternate hypotheses. b. Explain whether your test will be left, right, or two-tailed. c. State the test statistic and p-value. Round your answers to four decimal places. d. Explain your conclusion to reject or fail to reject the null hypothesis in terms of p and α. e. Interpret your conclusion in the context of this problem.Which one of these could be a correct H0? (Hint: Think about the GENERAL MEANING of H0 that I have emphasized throughout all the different chapters, and all the different hypothesis tests). The two sample means are equal. The population shows a real preference for different brands of cars. μtreatment > 0 μ1 – μ2 = 0Test the claim about the difference between two population means u, and u, at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: µ, =H2; a = 0.01 Population statistics: o, = 3.4, o2 =1.7 Sample statistics: X, = 15, n, = 27, X2 = 17, n2 = 30 Determine the alternative hypothesis. Ha: H1 H2 Determine the standardized test statistic. (Round to two decimal places as needed.) Determine the P-value. P-value = (Round to three decimal places as needed.) What is the proper decision? Enil to rninat U Thore ie not onounh cidencoot the 0L Inunl of eianiinonon tn minnt the olainn Click to select your answer(s). 2:24PM
- H1 H2 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 0.10 significance level for both parts. 25 36 2.37 2.69 s 0.69 0.96 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O A. Ho: H1 <#2 H: H1 2 42 VB. Họ: H1 = P2 H: 1 42 O C. Ho: H1 #H2 O D. Ho: H1 = H2 H: 41Test 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 H Ha sO O E. Ho Hd0 F. Ho: Hg20 The test statistic is t= (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. parts remaining Clear All Check Answer les7e_ppt_08_03.pptx Open file Show all 2:28 PM P Type here to search A di 2/21/2021 ho * h2 ) break end prt sc inser f7 f9 16 1. fe多 home esc 24 4 %3D 3. 5. 6. 7. 8.D iew an example Get more help. V Use technology to find the P-value for the hypothesis test described below. The claim is that for a smartphone carrier's data speeds at airports, the mean is μ = 17.00 Mbps. The sample size is n = 16 and the test statistic is t= -2.084. P-value= (Round to three decimal places as needed.) X # 3 E 80 I D C $ 4 ƠN F4 R F V 07 20 % 5 J T G 6 B MacBook Air F6 Y H & 7 F7 U N * 00 8 J DII F8 - M ( 9 K F9 O ) < I H O L 72 Clear all P. V ▾ F11 { سال = [ command optionStatistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 73.5 88 63.9 85.5 62.7 65 83.2 61.9 88 62.7 Test grades are believed to be normally distributed.Use a significance level of 5%. State the alternative hypothesis: HA:HA: μ>65μ>65 μ<65μ<65 μ≠65μ≠65 State the mean of the sample: State the standard error of the sample means: State the test statistic: t=t= State the p-value: Decision: Fail to reject the null hypothesis. Reject the null hypothesis.Q2. Use the sample data below to test the hypotheses H: P = P2 = P3 H: Not all population proportions are equal where pi is the population proportion of Yes responses for population i. Use a 0.1 level of significance to answer the following questions. Populations Response 1 2 Yes 150 140 100 No 100 140 100 (A). What is the test statistic value? (B). Observing the x table, what is the possible range of values of the p-value? [Multiple choice with single answer] (a) 0.01Test 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, 20; a = 0.05. Sample statistics: d = -2.2, s, = 1.5, n=14 Identify the null hypothesis by writing its complement. O A. Ho: Ha #0 Ha: H = 0 O B. Ho: Hg s0 Hgi Hg>0 O D. Ho: Ha 0 E. Ho: Ha 20 H: H <0 The test statistic is t= -5.49. (Round to two decimal places as needed.) The critical value(s) is(are) t, = - 1.77 (Round to two decimal places as needed. Use a comma to separate answers as needed.) V the rejection region, V the null hypothesis. There V statistically significant evidence to reject the claim. Since the test statistic isTest 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 B. Ho: Ha 0 H: Hg =0 O A. Ho: Ha s0 H: Hg>0 O D. Ho: Ha>0 H: Hg sO OC. H,: Ha <0 Ha: Ha 20 O E. H, Ha 20 F. Ho: Ha=0 Ha: H #0 The test statistic is t= (Round to two decimal places as needed.)The graph portrays the decision criterion for a one-mean z-test. The curve in the graph is the normal curve for the test statistic under the assumption that the null hypothesis is true. Use the graph to solve the problem. A graphical display of the decision criterion follows. Reject Ho Reject Ho Do not reject Ho N 0.01 0.01 0 1 2 -3 -2 -1 -2.33 2.33 Determine the rejection region. OA. Z≥ 0.01 B. z -2.33 or z= 2.33 O C. z≤ -2.33 or z ≥ 2.33 O D. - 2.33 ≤z≤ 2.33Test 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, 20; a= 0.05. Sample statistics: d= -2.2, s, =1.5, n= 14 Identify the null hypothesis by writing its complement. COA. Ho: Ha #0 H: Ho =0 OB. Ho: Pa s0 OC. Ho: Ha =0 OD. Ho: Ha 0 H: Hg <0 The test statistic is t= - 5.49. (Round to two decimal places as needed.) The critical value(s) is(are) t, = - 1.77. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Since the test statistic is V the rejection region, V the null hypothesis. There V statistically significant evidence to reject the claim.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. 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