A well-known business school in Cape Town conducted a survey in 2013 amongst its MBA applicants todetermine whether students apply to only one business school. A sample of 2018 students was chosen andthe following results were obtained:Did you apply to more than one school?Age23 and underYesNoTotal20720140824-2629937967827-3018526845331-356619325936 and over51169220Total80812102018a) What is the probability that a randomly selected applicant is 24-26 years old given that he/she didnot apply to more than one school (rounded off to three decimals)?b) What is the probability that a randomly selected applicant is 27-30 years old or did apply to morethan one school (rounded off to three decimals)?

Solution: The given table of data is

Answered: A well-known business school in Cape…

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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Ten countries were randomly selected from the list of 129 countries in theCountry. The countries are compared with respect to their gross nationalproduct per capita, an indicator of the average income level of each country.Researchers have found that people in countries with higher income levelstend to live longer than do people in countries with lower income levels.In addition, birth rates tend to be higher in countries with lower incomes,with birth rates declining as countries become better off economically. a. Use this data to determine the Spearman rank correlation of GNP with(i) life expectation, and (ii) the birth rate. b. Test to determine whether the correlation of ranks is statisticallysignificant at the 0.05 level of significance.
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The Pew Research Center Internet Project, conducted on the 25th anniversary of theInternet, involved a survey of 857 Internet users (Pew Research Center website, April 1,2014). It provided a variety of statistics on Internet users. For instance, in 2014, 87%of American adults were Internet users. In 1995 only 14% of American adults used theInternet.a. The sample survey showed that 90% of respondents said the Internet has been a goodthing for them personally. Develop a 95% confidence interval for the proportion ofrespondents who say the Internet has been a good thing for them personally.
The racial/ethnic diversity of post high school students enrolled at MVCC during the fall 2020 semester is given below. Racial/Ethnic Diversity of Post High School Students Race/Ethnicity Percent* American Indian or Alaska Native 0.4% Asian 5.3% Black or African American 9.6% Hispanic or Latino 9.6% Two or more races 2.8% Native Hawaiian or Pacific Islander <0.1% Non-Resident Alien 0.5% Unknown 1.5% White 70.2% (*Percentages may not total 100 due to rounding) What is the race/ethnicity of the majority of students at MVCC? What total percent of students were either Black or African American or Hispanic or Latino? There were 3,444 students enrolled at MVCC at the time of the study. How many (not percent) students were Asian? (The answer must be a whole number.)
A small college has been accused of gender bias in its admissions to graduate programs. a. Out of 500 men who applied, 255 were accepted. Out of 700 women who applied, 240 were accepted. Find the acceptance rate for each gender. Does this suggest bias? b. The college then looked at each of the two departments with graduate programs and found the data below. Compute the acceptance rate within each department by gender. Does this suggest bias? Department Men Women Applied Admitted Applied Admitted Dept A 400 240 100 90 Dept B 100 15 600 150 c. Looking at our results from Parts a and b, what can you conclude? Is there gender bias in this college’s admissions? If so, in which direction?
A mayor running for re-election claims that during his term, average municipal taxes have fallen by $150. A conscientious statistician wants to test this claim. She surveys 45 of her neighbors and finds that their taxes decreased (in dollars) as follows: 149, 135, 147, 147, 160, 146, 165, 144, 142, 159, 138, 185, 143, 164, 143, 154, 163, 151, 171, 156, 133, 145, 180, 172, 166, 167, 149, 144, 154, 172, 138, 168, 179, 151, 131, 165, 114, 140, 162, 151, 136, 152, 157, 154, 136 The statistician assumes a population standard deviation of $13. Do you think the statistician should reject the mayor's claim? Why or why not? Step 1: State the hypothesis. ? Step 2: Determine the Features of the Distribution of Point Estimates Using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are [Select an answer distribution mean with and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P? ✓ ? ✓…
The racial/ethnic diversity of post high school students enrolled at MVCC during the fall 2020 semester is given below. Racial/Ethnic Diversity of Post High School Students Race/Ethnicity Percent* American Indian or Alaska Native 0.4% Asian 5.3% Black or African American 9.6% Hispanic or Latino 9.6% Two or more races 2.8% Native Hawaiian or Pacific Islander <0.1% Non-Resident Alien 0.5% Unknown 1.5% White 70.2% (*Percentages may not total 100 due to rounding) Is race/ethnicity a qualitative or quantitative variable Is the data displayed in a frequency or relative frequency distribution?
A study was conducted to determine how people get jobs. The table list date from 400 randomly selected subjects. The data are bases on results from the National centter for Career Strategies. Job source of survey respondent FREQUENCIES HELP-WANTED ads 56 EXECUTIVE SEARCH FIRMS 44 NETWORKING 280 MASS MAILING 20 TOTAL 1. What percentage of the respondents got job by either help-wanted ads or mass mailing? 2. What percentage of the respondent got jobs from networking?
Assume that 135 surveys are completed. Of those surveyed, 61 responded positively to effectiveness, 65 responded positively to side effects, and 63 responded positively to cost. Also, 26 responded positively to both effectiveness and side effects, 29 to effectiveness and cost, 26 to side effects and cost, and 16 to none of the items. How many responded positively to all three?

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