hisKYou are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 18, you determine that b₁ = 4.3 andSb₁ = 1.4.a. What is the value of tSTAT?b. At the a=0.05 level of significance, what are the critical values?c. Based on your answers to (a) and (b), what statistical decision should you make?d. Construct a 95% confidence interval estimate of the population slope, B₁.e to searcha. What are the hypotheses to test?A. Ho: B₁ = 0H₁: B₁ #0©C.Ho: P₁20H₁: B₁ <0ISTAT (Round to two decimal places as needed.)=View an exampleGet more help -veO√Tfg +B. Ho: P₁ ≤0H₁: B₁ > OOD. Ho: B₁ #0H₁: B₁ = 0fg144f1084°F ^ @fil***6464Clear allh12mportant Informationce Identification Cards. Two cards have beencle insured. Please destroy your old cardsecome effective. A law enforcement officerSouth Carolina law. The Insurancerovide this proof.that you have liability insurance meetingons on the ID Card, only theare listed. For a full list ofease reference the Dri(page 7).omptly of anyportant polic

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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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You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 18, you determine that b, = 3.7 and S, = 1.3. a. What is the value of tsTAT? b. At the a = 0.05 level of significance, what are the critical values? c. Based on your answers to (a) and (b), what statistical decision should you make? d. Construct a 95% confidence interval estimate of the population slope, B1. a. What are the hypotheses to test? O A. Ho: B1 s0 H;: B, >0 O B. Ho: B1 +0 H;: B, = 0 С. Но В120 H;: B, <0 D. Ho: B1 =0 H;: B1 #0 tSTAT = (Round to two decimal places as needed.) b. The lower critical value is The upper critical value is (Round to four decimal places as needed.) c. What statistical decision should you make? A. Since tsTAT is greater than the upper critical value, do not reject the null hypothesis. B. Since tSTAT is between the two critical values, reject the null hypothesis. C. Since tsTAT is greater than the upper critical value, reject…
You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ1 = µ2 Ha:µ1 # µ2 You 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 (So use the "pool" option). You obtain the following two samples of data. Sample #1 Sample #2 86.4 60.5 63.3 93.5 94.6 61.1 99.2 55.9 85.8 107 88.9 68.8 88.3 61.9 78.8 59.2 103.8 99.7 74.3 72.5 76.5 62 70.5 80.7 80.2 59.2 64.3 107 89.3 113.2 48.5 95.2 72.1 76.1 115.5 75.1 97.6 88.4 96.4 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 P-value reported from the "2-sample t- test" from the technology you are using. (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads…
a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: uv (Please enter a decimal) c. The test statistic z v (please show your answer to 3 decimal places.) %3D d. The p-value = (Please show your answer to 4 decimal places.) %3D e. The p-value is> va f. Based on this, we should fail to reject vthe null hypothesis. g. Thus, the final conclusion is that ...
The old variety of a plant has 70% pink flowers. A new variety is developed. In a random sample of 93 plants from the new variety, 59 had pink flowers. Test the claim that the percent of plants with pink flowers for the new variety is different than 70%. Use a 0.10 level of significance. Question 6 options: DO NOT Reject H0 Using a 0.10 level of significance there is not evidence to say the proportion of pink flowers is different than 0.70 Reject H0 Using a 0.10 level of significance there is evidence to say the proportion of pink flowers is not different than 0.70
What are the independent and dependent variables for the following examples? What statistical test would you use for each of the following scenarios? What would you set your alpha-level at? Sally wants to examine whether there is a difference in muscular strength between participants who engaged in an 8-week resistance training program and participants who engaged in an 8-week endurance training program. The participants only took part in one of the 8-week programs, not both. What test would she use to determine whether the differences in muscular strength are significant? Why?
The parallel trends assumption is a crucial assumption for which the following estimators? Multiple regression Differences-in-Differences First differences Instrumental Variable
econometrics
Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. a. Identify the independent and dependent variables. b. In a sentence, state the null hypothesis being tested. c. Using symbols, state the null and alternative hypotheses. d. Determine the critical region using a one-tailed test with alpha = .05. e .Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). f. State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). g. Based on your analysis, is there a relationship between the drug and attention span?
You wish to test the following claim (Ha) at a significance level of a = 0.01. H₂:μ₁ = μ₂ Ha:μι > με You obtain the following two samples of data. Sample #1 Sample #2 60 50.1 91.5 89.8 56 44.8 85.6 93.4 58.4 83.8 106.9 73.9 44.8 78.1 70.8 37.7 63.5 82.7 71.7 34.7 90.6 67.7 66.8 61.6 65 65.9 77.6 61.1 111.7 106.9 51.8 88.3 69 80.5 78.1 62.6 99.7 64.5 67.2 52.6 71.2 75.3 76.2 96.8 70.8 49.2 46.1 111.7 51.8 The p-value is... mlm What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = 66.2 63.3 60 63.1 61.3 75 62.3 63.3 69.4 57.9 71.2 68.4 74.7 70.6 65.1 68.5 75.8 78.4 73.1 58.6 59.1 66 71.5 67.2 67.3 69 70.9 68.9 73.1 64.4 66.9 71.2 65.6 68.7 60.7 65.3 76.3 74.7 70.1 65.6 59.6 68.2 67.2 69.7 68.9 65.4 66.2 65.6 65.1 62.5 0.7 60.4 68.9 76.8 65.6 76.3 64.7 55.6 71.7 69.7 64.2 72.9 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…
Using an a = 0.05 significance level, what was the evidence for your answer to the previous question? O Because the p-value of the t-test for Experience is greater than 0.05, the analyst should not reject Ho: B₁ 0 so HA B10 is unsupported. This means that there is NO statistically significant relationship between Sales and Experience. = Because the p-value of the t-test for the Intercept is less than or equal to 0.05, the analyst should reject Ho: Bo 0 and accept HA Bo 0. This means that there is a statistically significant relationship between Sales and Experience. - O Because the p-value of the t-test for Experience is less than or equal to 0.05, the analyst should reject Ho: B1 = 0 and accept HA B1 0. This means that there is a statistically significant relationship between Sales and Experience. : O Because the p-value of the t-test for Experience is less than or equal to 0.05, the analyst should reject Ho: B1 = 0 and accept HA B1 0. This means that there is NO statistically…
You wish to test the following claim (H) at a significance level of a = 0.001. Ho: 112 Ha:> H2 You obtain the following two samples of data. Sample #1 65.2 79.3 87.1 48.3 85.7 51.7 42.6 58.3 56.5 94.7 61.1 86.4 91.8 71 68.1 58.3 68.1 109.3 103.6 35 67.2 52.5 98.4 114.5 79.3 83.2 57.2 63.2 101.6 56.5 94.7 76.8 55.9 31.7 67.2 55.9 81 26.5 43.9 Sample #2 84.2 49.5 59.9 70.9 40.5 79.7 50.1 58.9 71.9 16.9 53.8 69.3 55.6 65.6 65.6 75.4 42.5 45.8 74.8 44.2 30.9 67.7 59.9 72.5 66.1 47.3 90.9 53.3 85.8 66.7 39.5 68.7 80.4 30.9 57.3 61.5 79.1 68,2 57.8 39.5 64.6 34.3 58.3 56.7 59.4 83.4 69.3 57.3 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 =
You wish to test the following claim (Ha) at a significance level of a = 0.02. For the context of this problem, 44 = PostTest - PreTest where the first data set represents a pre-test and the second data set represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your 4i and u2 are so that the differences are computed correctly.) H.:Hd = 0 0 + Prl : "H You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 44.8 52.3 47.6 44.1 56.6 51.2 50.4 54.8 55.4 58.9 38 44.1 32.1 36 41.7 52.6 36.9 45.9 50.8 55 52.5 65.8 35.7 38.5 39.3 30.8 36.4 33.4 53.7 60 What is the test statistic for this sample? test statistic = (Report answer accurate to 4 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.) The p-value is... O less than (or…

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