MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- his K 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 b₁ = 4.3 and Sb₁ = 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 search a. What are the hypotheses to test? A. Ho: B₁ = 0 H₁: B₁ #0 © C. Ho: P₁20 H₁: B₁ O OD. Ho: B₁ #0 H₁: B₁ = 0 fg 144 f10 84°F ^ @ fil *** 6464 Clear all h12 mportant Information ce Identification Cards. Two cards have been cle insured. Please destroy your old cards ecome effective. A law enforcement officer South Carolina law. The Insurance rovide this proof. that you have liability insurance meeting ons on the ID Card, only the are listed. For a full list of ease reference the Dri (page 7). omptly of any portant policarrow_forward2.18 2.42 2.57 2.89 Suppose the data represent the inches of rainfall in April for a certain city over the course of 20 years. 4.79 D 0.53 0.76 1.23 1.37 1.86 3.37 3.66 3.88 4.09 4.49 5.04 5.36 5.79 Given the quartiles Q, = 2.020, Q, = 3.280, and Q3 = 4.640, compute the interquartile range, IQR. 3.19 6.08 IQR =D (Round to three decimal places as needed.)arrow_forwardWhen the distance from the smallest observation to the 1st quartile is much greater than the distance from the 3rd quartile to the largest observation, the data set is most likely Two answers correct. 1. symmetrical. 2. nonsymmetrical. 3. skewed to the right. 4. skewed to the left. 5. not skewed.arrow_forward
- You wish to test the claim that the first population mean is not equal to the second population mean at a significance level of α=0.02 . Ho:μ1=μ2 Ha:μ1≠μ2 You obtain the following two samples of data. Sample #1 Sample #2 67.1 64.2 32.7 49.0 63.8 54.8 63.5 54.1 65.6 54.8 40.5 58.7 39.4 43.1 72.5 73.1 70.2 71.2 68.1 73.1 79.7 67.3 66.5 61.7 62.9 76.5 What is the test statistic for this sample?test statistic = Round to 3 decimal places. What is the p-value for this sample?p-value = Use Technology Round to 4 decimal places. The p-value is... less than (or equal to) α greater than α This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population mean is not equal to the second population mean. There is not sufficient…arrow_forwardeconometricsarrow_forwardYou 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…arrow_forward
- 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…arrow_forwardYou're fired! ~ Suppose that in a random sample of 252 employed Americans, there are 38 individuals who say that they would fire their boss if they could. Round all calculated values in this problem to 4 decimal places. 1. The value 38/252 = 0.1508 is a Statistic We want to use the information from the sample to conduct a hypothesis test to determine if fewer than 19% of employed Americans would fire their boss if they could. 2. Choose the null and alternative hypotheses for this test. Use appropriate notation. ОА. Но : р %3D 0.19, На : р 0.19 A 3. If you assume that the observations in the sample are independent, what is the smallest value the sample size could be to meet the conditions for this hypothesis test? А. 38 В. 10 С. 20 D. 67 ОЕ. 53 OF. None of the abovearrow_forwardAnswer the following to summarize the test of the hypothesis that there is no dependence between the two variables color vision of participant and trial outcome. For your test, use the 0.05 level of significance. a. Find the value of the test statistic. (Round to two or more decimal places.) b. Find the critical value for a test at the 0.05 level of significance. (Round to two or more decimal places.) c. Can we reject the hypothesis that there is no dependence between the variables color vision of participant and trial outcome? Use the 0.05 level of significance.arrow_forward
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