Summary statistics are given for independent simple random samples from two populations. Use thenonpooled t-test to conduct a left-tailed hypothesis test using a significance level of α = 0.05.x₁ = 12.2, s₁ = 3.9, n₁ = 14, x₂=13.7, s₂ = 5.2, n₂ = 17A. Test statistic: t = -0.917Critical value: -2.046Do not reject HoO C. Test statistic: t= -2.211Critical value: -2.046Reject HoB. Test statistic: t = -0.917Critical value: -1.700Do not reject HoO D. Test statistic: t= -2.211Critical value: -1.700Reject Ho

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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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Samples of 100 8-hour shifts were randomly selected from the police records for each of two districts in a large city. The number of police emergency calls was recorded for each shift. The sample statistics are listed below. Region 1 2 Sample Size 100 100 Sample Mean 2.6 3.4 Sample Variance 1.24 2.54 Find a 90% confidence interval for the difference in the mean numbers of police emergency calls per shift between the two districts of the city. (Use μ₁ − μ₂. Round your answers to two decimal places.) calls per shift to calls per shift
Manually construct a graph portraying the decision criterion for the specified hypothesis test. Upload a clear, legible photo of your work (which adheres to the File Upload Guidelines for Photos). A hypothesis test for a population mean is conducted. The hypotheses are: Ho: μ = Ho H₂: μ ‡ Ho Ha: μ < Ho The significance level is 0.10 and the critical value is z=-1.28. Sketch a normal curve displaying the decision criterion. This curve will represent the normal curve for the test statistic under the assumption that the null hypothesis is true. On your graph indicate the area in the tail, the critical value, the rejection region, and the nonrejection region. Upload Choose a File
A data set includes data from student evaluations of courses. The summary statistics are n = 99, x= 3.45, s = 0.63. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho: H#3.50 H1:µ= 3.50 O B. Ho: H= 3.50 H,: µ#3.50 O C. Ho: H= 3.50 H:µ 3.50 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. correct. Ho. There is evidence to conclude that the original claim that the mean of the population of student course evaluations is equal to 3.50 Click to select your answer(s). F11 F10 F9 F8 F7 F6 F5 F4 F3 F2 esc F1 & 8. 9- 5 Y U Q W tab K #3…
Use a y2-test to test the claim o 45 Ha: 0245 O D. Ho: o245 O C. Ho: o>45 Ha:o545 Hai o<45 Identify the test statistic. (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.) Choose the correct conclusion below Click to select your answer(s).
A data set includes data from student evaluations of courses. The summary statistics are n = 90, x=4.19, s= 0.61. Use a 0.05 significance level to test the claim that the population of student evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? Test Statistic? P-Value? Reject H0 if the P-value is less than or equal to the significance level a. Fail to reject H0, if the P-value is greater than a.
A data set includes data from student evaluations of courses. The summary statistics are n=85, x= 3.34, s=0.63. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is correct C evidence to conclude that the mean of the population of student course evaluations is equal to 3.50
A data set includes data from student evaluations of courses. The summary statistics are n= 84, x= 3.33, s= 0.55. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? Ο Α. H . μ#3.50 О В. Но: и3 3.50 H,: µ> 3.50 H,: µ= 3.50 O C. H: μ= 3.50 H1: µ< 3.50 Ο D . H : μ= 3.50 H1: µ± 3.50
A company claims that its best-selling product contain more than 40 qualities. This claim is tested at 1% significance. Evidence suggests that the product is normally distributed. Information from a computer output of the hypothesis test is listed as follows. Sample mean = 42.6 P-value = 0.008 Sample standard deviation = 3.7 Sample size = 15. Test statistic t = 2.72155 Critical value t = 2.62610 a) State the hypothesis and identify which of them is the claim b) Is this a right-tailed, left-tailed, or two-tailed test? Explain in one sentence. c) How was the p – value obtained? d) From the observed P-value, what would you conclude and why? e) Is this a small sample or a large sample test? Explain. f) By comparing the test statistic to the critical value, what would you conclude and why? g) Is there a conflict in this output using both the critical value and the P – value methods?
A data set includes data from student evaluations of courses. The summary statistics are n=91, x=3.92, s=0.61. Use a 0.05 significance level to test the claim that the population of student course evaluations has a mean equal to 4.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
A data set includes data from student evaluations of courses. The summary statistics are n= 95, x= 3.33, s= 0.66. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 3.50. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Ho: H= 3.50 О в. Но: и33.50 H1: µ3.50 Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. v Ho. There is v evidence to conclude that the mean of the population of student course evaluations is equal to 3.50 v correct.

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