(a) Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if theirparents attained a higher level of education. (Let μ₁ population mean verbal score of students whose parents are college graduates with a bachelor's degree and μ₂ = population meanverbal score of students whose parents are high school graduates but do not have a college degree.)Ho: M₁ M₂ #0На: M1 - M2 0Ho: M₁Ha: M₁= 0M₂ =M₂ #0Ho: M₁ M₂ 20Ha Hy - H2 < 0но: H1-M250На: M1 - M2 > 0-Ho: M₁ M₂ <0H₂: M₁ M₂ = 0(b) What is the point estimate of the difference between the means for the two populations?(c) Find the value of the test statistic. (Round your answer to three decimal places.)Compute the p-value for the hypothesis test. (Round your answer to four decimal places.)p-value = The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents. A research hypothesis was thatstudents whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was 514. SAT math scores for independentsamples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT mathtest scores for students whose parents are high school graduates but do not have a college degree.High School GradsCollege Grads501487550634538550572497533526394531594432608 485442580479486528524492478425485390535

Given data: College Grads High School Grads 501 442 550 580 634 479 538 486 550 528…

Answered: (a) Formulate the hypotheses that can…

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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1. Katerina Rogers is preparing for her Javelina throw event in the next Olympics. In 18 successive throws, her records (in meters) are: 65 70 68 63 59 71 66 68 62 70 76 69 65 73 67 65 70 70 Using a nonparametric test procedure, test at 5% level if on an average Katerina threw her Javelin more than 65 meters.
Researchers designed a survey to compare the proportions of children who come to school without eating breakfast in two low-income elementary schools. A random sample of 80 students from School 1 found that 19 had not eaten breakfast. At School 2, a random sample of 150 students included 26 who had not had breakfast. Is there evidence at the 0.05 significance level of a difference in the population proportions? What is the test statistic for this test? A) 1.168 B) 0.2427 C) 0.2375 D) 1.733 E) 0.1957
The following sample data reflect shipments received by a large firm from three different vendors and the quality of those shipments. (You may find it useful to reference the appropriate table: chi-square table or F table) TTT Vendor Defective Acceptable 1 32 119 2 25 76 3 26 207 a. Select the competing hypotheses to determine whether quality is associated with the source of the shipments. O Hg: Quality and source of shipment (vendor) are independent.; Ha: Quality and source of shipment (vendor) are dependent. O Họ: Quality and source of shipment (vendor) are dependent.; HA: Quality and source of shipment (vendor) are independent. b-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic
Suppose a political science student wants to know whether gender is related in some way to Americans' views on environmental-protection standards. Since this student has an internship at the Environmental Protection Agency (EPA), he asks a simple random sample of 72 EPA employees whether they feel that current environmental regulations are adequate or inadequate. The student summarizes his data in a contingency table so that he can analyze it with a chi-square test for independence. Men Women Adequate 10 16 Inadequate 13 33 The requirements for a chi-square test for independence are not met because the sample is biased. at least one expected cell count is less than 1. either the row or column totals are not random. the categories overlap or do not contain all sample members. the observations are not independent.
If P(high) = 0.36, P(low) = 0.64, P(favorable | high) = 0.94, and P(unfavorable | low) = 0.63, then what is P(favorable)? 0.0600 0.3384 0.3600 0.5752
A sociologist studying New York City ethnic groups wants to determine if there is a difference in income for immigrants from four different countries during their first year in the city. She obtained the data in the following table from a random sample of immigrants from these countries (incomes in thousands of dollars). Use a 0.05 level of significance to test the claim that there is no difference in the earnings of immigrants from the four different countries. Country I Country II Country III Country IV 12.9 8.8 20.6 17.7 9.8 17.9 16.8 8.7 10.7 19.8 22.6 14.1 8.5 10.3 5.8 21.7 16.9 19.3 19.5 (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Round your answers to three decimal places.) SSTOT = SSBET = SSW = Find d.f.BET, d.f.W, MSBET, and MSW. (Round your answer to three decimal places for MSBET and MSW.) dfBET = dfW = MSBET = MSW = Find the value of the sample F statistic. (Round your answer to three decimal…
In a study designed to test the "truth" to the theory that, on average, U.S. adults gain weight between Thanksgiving and January a research team looked at responses from 8 randomly selected U.S. adults. The subjects were weighed (lb) on the day before Thanksgiving and again on January 3rd The raw data are found in Table 1. Let ? = 0.025 Table 1: Weights (lb) before Thanksgiving and on Jan. 3rd for 8 U.S. adults Pre-Thanksgiving 168.2 173.5 164.3 166.4 167.6 164.9 172.1 169.8 Jan. 3rd 173.3 159.9 175.4 172.1 174.8 169.7 177.3 164.5 Diff 5.1 -13.6 11.1 5.7 7.2 4.8 5.2 -5.3
A sociologist is interested in the opinion of Minnesota teachers on the recent labor union law passed by Wisconsin lawmakers. a. What is the experimental unit? b.What is the population? c.What are the variables relevant to this study? Classify them as continuous, discrete, nominal, or ordinal. d. Explain how you would select a sample for this study. Explain pros and cons of your method.
In a survey, 37% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so he randomly selected 200 pet owners and discovered that 73 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the a = 0.1 level of significance. Because npo (1- Po) 10, the sample size is 5% of the population size, and the sample the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.) Enter your answer in the answer box and then click Check Answer. ? 4 parts remaining Clear All Check Answer Screen Shot 202...png Show All
The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was 514.1 SAT math scores for independent samples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree. College Grads High School Grads 501 471 442 492 534 533 580 478 634 526 479 425 554 426 486 485 534 515 528 390 556 594 524 535 481 464 592 453 (a) Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if their parents attained a…
The sample data below represent the number of late and on time flights for three airlines. Flight Late 1 Airline 2 3 81 93 98 On Time 219 207 302 (a) Formulate the hypotheses for a test that will determine if the population proportion of late flights is the same for all three airlines. P₂ P3 O Ho: Not all population proportions are equal. Ha: P₁ = P₂ = P3 Ho: P₁ = P₂ = P3 H: Not all population proportions are equal. O Ho: All population proportions are not equal. Ha: P₁ = P₂ = P3 O Ho: P₁ = P₂ = P3 H: All population proportions are not equal. (b) Conduct the hypothesis test with a 0.05 level of significance. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = Need Help? Read It State your conclusion. Reject H. We cannot conclude that not all of the population proportions are equal. O Do not reject Ho. We conclude that not all of the population proportions are equal. O Reject H. We…
Which part(s) is it reasonable to say that a. Factor A does not affect the mean of the response variable. b. Factor B does not affect the mean of the response variable. c. neither factor affects the mean of the response variable. Each graph in Fig. C.4 shows a plot of the cell means for a 2 × 2 ANOVA. For each part, using only the graphs, conjecture on the results of the three hypothesis tests. (Note: For convenience we have denoted the two levels of Factor A as A1 and A2.) FIGURE C.4

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