Draw the conclusion by conducting the test of hypothesis. Show the solution using the critical-value method and the p-value method The Head of the Mathematics Department announced that the mean score of Grade11 students in the second periodical test in Statistics was 89, and the standarddeviation was 12. One student believed that the mean score was less than this,randomly selected 34 students, computed their mean score, and obtained a meanscore of 85. At 0.01 level of significance, test the student's belief.

It is given that Sample size n = 34 Sample mean M = 85 Population SD = 12 Level of significance =…

Answered: The Head of the Mathematics Department…

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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I just want to know the calculations(not using software or ai) for each step to obtain the answers below. Answers: (a) SSR(x1) = 1566.45, SSR(x2|x1)=306.25, SSE(x1,x2)= 94.30 d.f= 1, 1, 13 (b) H0: β2=0, Ha:β2=/0 Decision Rule: Reject if F*>9.07, Accept if F*<=9.07 Test statistic is, F= [SSR(x2|x1)/1]/[SSE(x1,x2)/13] = 306.25/1/94.30/13 = 42.219 Comment: conclude Ha. P-value: 0+ (c) Yi hat*= 0.89239X1* + 0.39458X2*
A pharmaceutical company knows that approximately 5% of its birth- control pills have aningredient that is below the minimum strength, thus rendering the pill ineffective. What is theprobability that fewer than 10 is a sample of 200 pills will be ineffective?
Heteroscedasticity Stigler and Friedland (1983) conducted a study to determine whether the separation of company control from company ownership affects company profits. Using data from 69 companies in the United States, the authors estimate the following model: profiti = α + β1asseti + β2management_controli + ei Where i is company and: profiti = annual profit (in million dollar) asseti = company asset (in million dollar) management_controli = dummy variable that is worth one if the control of the company is held by the manager The regression results are presented in the table in the picture a. Explain whether the statements below are TRUE, FALSE, or CANNOT BE DETERMINED. "If there is a heteroscedasticity problem, the confidence interval of the OLS estimator is not valid." b. Determine the 95% confidence interval for the parameter 2, what can you conclude?
What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the depth of the dive. The U.S. Navy has done a lot of research on this topic. The Navy defines the "optimal time" to be the time at each depth for the best balance between length of work period and decompression time after surfacing. Let x = depth of dive in meters, and let y optimal time in hours. A random sample of divers gave the following data. 15.1 23.3 32.2 38.3 51.3 20.5 22.7 2.48 2.38 1.48 1.03 0.75 2.38 2.20 (a) Find Ex, Ey, Ex², Ey², Exy, and r. (Roundr to three decimal places.) Ex = 203.4 Ey = 12.7 Ex2 = 0.001 Ey? = 0.002 Exy = 931.638 r= -0.9655 (b) Use a 1% level of significance to test the claim that p < 0. (Round your answers to two decimal places.) t = -8.29 critical t = -3.36 Conclusion O Reject the null hypothesis. There is insufficient evidence that p < 0. Reject the null hypothesis. There is sufficient evidence that p < 0. Fail to reject the null hypothesis. There is…
Vegetarians are much less common in the United States than in the rest of the world. Suppose in a 2018 survey of 12,000 people in the United States, VeganBits found 60 who are vegetarians. (a) Develop a point estimate of the proportion of people in the United States who are vegetarians. (b) Set up a hypothesis test so that the rejection of H, will allow you to conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. (Enter != for # as needed.) Ho: Ha: (c) Conduct your hypothesis test using a = 0.05. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject H.. We can conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. O Do not reject Ho. We can conclude that the proportion of people in the United States who are vegetarians exceeds 0.004. O Reject Ho. We cannot conclude that the…
You want to determine whether the reasons given by workers for continuing their education is related to job type. In the study, you randomly collect the data shown in the contingency table. At α=0.01, can you conclude that the reason and type of worker are dependent? Complete parts (a) through (d). Reason Type of worker Professional Personal Both Technical 36 39 32 Other 47 21 32 Question content area bottom Part 1 (a) Identify the claim and state the null and alternative hypotheses. H0: Reasons are ▼ independent of dependent on the type of worker. Ha: Reasons are ▼ independent of dependent on the type of worker. The ▼ alternative hypothesis null hypothesis is the claim.
An engineer is testing a new car model to determine how its fuel efficiency, measured in L/(100 km), is related to its speed, which is measured in km/hour. The engineer calculates the average speed for 30 trials. The average speed is an example of a (statistic or parameter) The engineer would like to find the least squares regression line predicting fuel used (y) from speed (x) for the 30 cars he observed. He collected the data below. Speed 62 65 80 82 85 87 90 96 98 100 Fuel 12 13 14 13 14 14 15 15 16 15 Speed 100 102 104 107 112 114 114 117 121 122 Fuel 16 17 16 17 18 17 18 17 18 19 Speed 124 127 127 130 132 137 138 142 144 150 Fuel 18 19 20 19 21 23 22 23 24 26 The regression line equation is Round each number to four decimal places.

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