Test the claim below about the mean of the differences for a population of paired data at the level of significance α. Assume the samples are random and dependent, and the populations are normally distributed.Claim: μd < 0, α = 0.05. Sample statistics: d̄ = 1.5, sd = 3.4, n = 14Identify the null and alternative hypotheses. Choose the correct answer below.- A. \(H_0: \mu_d > 0\) \(H_a: \mu_d \le 0\)- B. \(H_0: \mu_d \ge 0\) \(H_a: \mu_d < 0\)- C. \(H_0: \mu_d = 0\) \(H_a: \mu_d \neq 0\)- D. \(H_0: \mu_d \neq 0\) \(H_a: \mu_d = 0\)- E. \(H_0: \mu_d < 0\) \(H_a: \mu_d \ge 0\)- F. \(H_0: \mu_d \le 0\) \(H_a: \mu_d > 0\)The test statistic is \(t = \square\) (Round to two decimal places as needed.) The image features part of an educational website interface related to statistical analysis. It presents the following content for user interaction:1. **The test statistic is** \( t = [ \_\_\_\_ ] \) - Instruction: "Round to two decimal places as needed."2. **The critical value(s) is(are)** \( t_0 = [ \_\_\_\_ ] \) - Instruction: "Round to two decimal places as needed. Use a comma to separate answers as needed."3. **Conclusion statement:** - "Since the test statistic is [ \_\_\_\_ ] the rejection region, [ \_\_\_\_ ] the null hypothesis, there [ \_\_\_\_ ] statistically significant evidence to support the claim."Users are prompted to fill in the blanks with appropriate statistical values and conclusions based on a given dataset or scenario. The interface is designed to guide students through the process of hypothesis testing, requiring manual input and interpretation of results. Note: No graphs or diagrams are present in the image. The image also shows the bottom section of a computer screen with a toolbar and a keyboard, indicating this is a screenshot of a computer application.

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Answered: Test the claim below about the mean of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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. 20; a = 0.05. Sample statistics: d= - 2.2, s, = 1.5, n= 14 Identify the null hypothesis by writing its complement. OB. Ho: Ha s0 OA Ho: Ha #0 H: Ha =0 OD. Ho: Ha0 VE. Ho: Ha20 Ha: Hd <0 The test statistic is t= (Round to two decimal places as needed.)
The prices of a sample of books at University A were obtained by two statistics students. Then the cost of books for the same subjects (at the same level) were obtained for University B. Assume that the distribution of differences is Normal enough to proceed, and assume that the sampling was random. a. First find both sample means and compare them. b. Test the hypothesis that the population means are different, using a significance level of 0.05. E Click the icon to view the table of prices. a. Find the sample mean for University A. (Round to the nearest cent as needed.) Find the sample mean for University B. (Round to the nearest cent as needed.) Compare the sample means. The sample mean is larger at b. Determine the hypotheses for this test. Let Hdifference be the mean of differences between the paired observations. Choose the correct answer below. OB. Ho: Hdifference 0 O E. Ho: Hdifference >0 = 0 Ha: Hdifference =0 Data Table #0 Find the test statistic for this test. %3= = (Round to…
Use 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.
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 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.
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 skewed
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An independent measures study with n = 6 in each sample produces a sample mean difference of 8 points and Sm1-m2= 2. What is the value for the T statistic? A. 1 B. 2 C. 4 D. 4/-8
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: 0 = 0 E. Ho: Hd 0 Ha: Hd s0 The test statistic is t= 1.43 . (Round to two decimal places as needed.) The critical value(s) is(are) to = (Round to two decimal places as needed. Use a comma to separate answers as needed.)
Use technology and a t-test to test the claim about the population mean at the given level of significance a using the given sample statistics. Assume the population is normally distributed Claim: u > 78; a = 0.01 Sample statistics: × = 79.3, s = 3.6, n = 28 What are the null and alternative hypotheses? Choose the correct answer below. O A. Ho: M = 78 H: 4*78 О c. Ha: u₴78 Hai n< 78 OB. H: 4478 H: M=78 O D. H: 4 s78 H: 4>78 What is the value of the standardized test statistic? The standardized test statistic is__ . (Round to two decimal places as needed.) What is the P-value of the test statistic? P-value=__(Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.
Use technology to help you test the claim about the population mean, u, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed Claim: 1180; a=0.06: a202.19. Sample statistics x= 1208.77, n=300 Identify the null and alternative hypotheses. Choose the correct answer below. OA H 1208.77 H1208.77 OC. H₂>1208.77 H:Hs 1208.77 OE H:1208.77 H₂>1208.77 Calculate the standardized test statistic The standardized test statistic in (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 6% significance level, there enough evidence to OB. Hop21180 H₂1180 OD. Hus 1180 H₂>1180 OF H₂1180 Hps 1180 the claim

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