The College Board SAT college entrance exam consists of three parts:math, writing, and critical reading (The World Almanac, 2012). Sampledata showing the math and writing scores for a sample of 12 studentswho took the SAT follow. Student Math  Writing 123456789101112 540432528574448502480499610572390593 474380463612420526430459615541335613 a. Use a .05 level of significance and test for a difference betweenthe population mean for the math scores and the population meanfor the writing scores. What is the p-value and what is yourconclusion? b. What is the point estimate of the difference between the meanscores for the two tests? What are the estimates of the populationmean scores for the two tests? Which test reports the higher meanscore?

Data was collected for 224 randomly selected 10 minute intervals. For each ten-minute interval, the number of people entering the atrium of a large mall were recorded. The data is summarized in the table below. Number  of Guests      Frequency    120 – 124 23 125 – 129 32 130 – 134 97 135 – 139 56 140 – 144 16 What is the class width for this GFDT?

A market research firm has carried out an observational study on the chief executives from a random selection of the law firms in the country. The numerical measures obtained from the analysis of the data are referred to as ______?  a) records b) statistics c) parameters d) variables

The National Longitudinal Study of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next 10 years?” Here is a two-way table of the responses by gender:   Opinion Female Male Almost no chance 120 94 Some chance but probably not 156 178 A 50-50 chance 427 498 A good chance 750 700 Almost certain 1176 770   How many individuals are described in this table? How many females were among the respondents? The percent of females among the respondents was about %. Your percent from the previous exercise is part of the marginal distribution of opinion about marriage. the conditional distribution of sex among adolescents with a given opinion. the marginal distribution of sex. What percent of females thought that they were almost certain to be married in the next 10 years?% Your percent from the previous exercise is part of the conditional distribution of sex among…

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A poll was taken of 12,729 working adults aged 40-70 to determine their level of education. The participants were classified by sex and by level of education. The results are shown below. Education Level Male Female Total High School or Less 3577 2472 6049 Bachelor's Degree 3037 2585 5622 Master's Degree 480 464 944 Ph.D. 66 48 114 Total 7160 5569 12,729 A person is selected at random. Compute the following probabilities. b) What is the probability that the selected person does not have a Master's degree, given that he is male?  What is the probability that the selected person has a Ph.D., given that she is female?

A foundation asked each person in a representative sample of high school students and in a representative sample of high school teachers which of the rights guaranteed by the First Amendment they thought was the most important. Suppose that the sample size for each sample was 1,000. Data consistent with summary values from the study are summarized in the accompanying table. Students = Teachers Freedom of Speech 658 400 USE SALT Most Important First Amendment Right Freedom of Religion Freedom to Peacefully Assemble Freedom of the Press 30 55 245 420 20 55 Freedom to Petition the Government 47 70 (a) Carry out a hypothesis test to determine if there is convincing evidence that the proportions falling into the five First Amendment rights categories are not the same for teachers and students. Use a significance level of a = 0.01. Calculate the test statistic. (Round your answer to two decimal places.) x²= Use technology to calculate the P-value. (Round your answer to four decimal places.)…