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- Answer in textWhich of the following is NOT a misuse of statistics?Choose the correct answer below.A.Utilizing valid statistical methods and correct sampling techniquesB.Concluding that a variable causes another variable because they have some correlationC.Misleading graphsD.Making conclusions about a population based on a voluntary response sampleTest 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: Ha0 H: Ha =0 O B. Hg: Hg s0 OC. Ho: Ha =0 O D. Ho: Ha 0 H: Hg s0 The test statistic is t=. (Round to two decimal places as needed.)
- under what circumstances we should use these statistical methods: Z-Test One sample T-test Dependent T-test Independent 2-sample T-testYou may need to use the appropriate appendix table or technology to answer this questlon. Consider the following data for two independent random samples taken from two normal populations. Sample 1 11 8. 14 8. 10 6. Sample 2 7. 6. 7. 5. 8. (a) Compute the two sample means. (b) Compute the two sample standard deviations. (c) What is the point estimate of the difference between the two population means? (d) What is the 90% confidence interval estimate of the difference between the two population means? 3.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 H₁₁₂ The test statistic, t, is (Round to two decimal places as needed.) OB. Ho: H₁₂ H₁: H₁A 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 H 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: #₁ = 1₂ H₁: H₁ H₂ OC. Ho: H₁You wish to test the following claim (��) at a significance level of �=0.002. ��:�1=�2 ��:�1≠�2You believe both populations are normally distributed, but you do not know the standard deviations for either. However, you also have no reason to believe the variances of the two populations are not equal. You obtain the following two samples of data. Sample #1 Sample #2 50.2 77.2 87.1 65 64.2 58.4 78 60.5 72.6 53.1 51.2 75.6 64.2 93.6 68.6 63.8 71.9 74.9 74.5 54.6 59.2 61.8 90.1 73.6 55.4 62.6 68.6 71.6 67.9 87.3 51.9 85.2 81.3 76.3 54 59.6 59.6 88.6 50.8 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)p-value =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. 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: HyConsider the following data: Step 1 of 3: Calculate the value of the sample variance. Round your answer to one decimal place. Answer How to enter your answer (opens in new window) stical Tables nomial Probabilities nomial Cumulative Poisson Probabilities Poisson Cumulative andard Normal Table t Table - Chi Square F Table - Pearson Correlation Coefficient Nonparametrics - Misc. q Table -2, -2, -8,-8, -2, -8, 12 N ww 3.1 3.0 2.9 2.8 2.7 2.6 2.5 Copy Data Tables Keypad Keyboard Shortcuts 0.07 0.08 0.09 3.3 3.2 Standard Normal Probabilities (z to ∞) 0.00 0.01 0.02 0.03 0.04 0.05 0.06 3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.000 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.000 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.000 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.000 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.001 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014…You may need to use the appropriate appendix table or technology to answer this question. Consider the following data for two independent random samples taken from two normal populations. Sample 1 10 7 13 798 Sample 2 978 459 (a) Compute the two sample means. Sample 1 Sample 2 (b) Compute the two sample standard deviations. (Round your answers to two decimal places.) Sample 1 Sample 2 (c) What is the point estimate of the difference between the two population means? (Use Sample 1-Sample 2.) (d) What is the 90% confidence interval estimate of the difference between the two population means? (Use Sample 1-Sample 2. Round your answers to two decimal places.) -0.29 x to 4.29 X TutorialYou may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: ?d ≤ 0 Ha: ?d > 0 (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 − Population 2.) Element Population Difference 1 2 1 21 19 2 28 28 3 18 17 4 20 18 5 26 26 (b) Compute d. (c) Compute the standard deviation sd. (d) Conduct a hypothesis test using ? = 0.05. Calculate the test statistic. (Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? Reject H0. There is insufficient evidence to conclude that ?d > 0. Reject H0. There is sufficient evidence to conclude that ?d > 0. Do not Reject H0. There is sufficient evidence to conclude that ?d > 0. Do not reject H0. There is insufficient evidence to conclude that ?d >…SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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