# UST LEARNING ENHANCER PROBLEM QUESTIONS SOLUTION

Question # 00018979 Posted By: jia_andy Updated on: 07/03/2014 01:25 PM Due on: 09/30/2014
Subject Education Topic General Education Tutorials:
Question

We sample 20 new cars (sedans) and find the average miles per gallon (mpg) to be 26 with a standard deviation of 1.7.

1) If we increase our sample size to 40, what is the standard error of the mean?

In a sample of 100 BSC students, we find that on average students eat at a fast-food restaurant four times a week with a standard deviation of .5.

2) What is the standard error of the mean?

3) If our sample size is 1000, what is the standard error?

In a sample of 212 BSC students, we find that 82% are binge drinkers.

4) If we increase the sample size to 500, what is the standard error of the proportion?

Thirty out of 167 students have been involved in a violent conflict in in the past year.

5) If 90 students reported a violent conflict, what is the standard error of the proportions?

We sample 20 news cars (sedans) and find the average mpg to be 26 with a standard deviation of 1.7.

6) What is the 95% confidence interval (CI)

In a sample of 100 BSC students, we find that on average students eat at a fast-food restaurant four times a week with a standard deviation of .5.

7) What is the 95% CI?

8) What is the 99% CI?

In a sample of 212 BSC students, we find that 82% are binge-drinkers

9) What is the 99% CI?

EXERCISE 2

Use the cross-tabulation below to answer questions 1-3.

Homeowner or Renter of Respondent Cross-tabulation

 WHITE BLACK OTHER TOTAL Homeowner or renter Owns homePays rentOther 59024123 45574 27243 66232228 Total 852 106 54 1012

1) How many respondents own a home?

2) Of Whites, what percent own a home?

3) Which of the three groups is most likely to pay rent?

Use the table below to answer questions 4 & 5

Rap Music (3) Respondent’s Sex Cross-tabulation

 MALE FEMALE TOTAL Rap Music (3) Like itMixed feelingsDislike it Count% WithinRespondent’s sexCount% Within respondent’s sexCount% Within respondent’s sex 5615.3%6016.4%25068.3% 5511.1%10922.0%33266.9% 11112.9%16919.6%58267.5% Total Count% Within respondents sex 366100.0% 496100.0% 862100.0%

4) Of females, what percent like a rap music?

5) Are males or females more likely to like rap music?

Suppose that we want to know if males are more likely than females to live off campus. Use the data below to construct a cross-tabulation table. Be sure to include frequencies, column percent’s, and marginal values.

 SEX RESIDENCE SEX RESIDENCE MaleFemaleFemaleFemaleMaleFemaleFemaleMaleFemaleFemaleFemaleMale On-CampusOn-CampusOn-CampusOn-CampusOn-CampusOn-CampusOn-CampusOn-CampusOn-CampusOn-CampusOn-CampusOn-Campus FemaleFemaleFemaleFemaleMaleFemaleFemaleFemaleMaleFemaleFemale On CampusOn CampusOn CampusOn CampusOn CampusOn CampusOn CampusOn CampusOn CampusOn CampusOn Campus

6) What percent of respondents are male?

7) Of females, what percent live off-campus?

8) Of those who live off-campus, what percent are female?

9) Use the table below to calculate chi-square:

Voting in 1992 election

 Frequency Percent Valid Percent Cumulative percent Valid VotedDid not voteNot eligibleRefused 659211205 73.223.42.2.6 73.623.62.2.6 73.697.299.4100.0 TotalMissing DKNA 89532 99.4.3.2 100.00 TotalTotal 5900 .6100.0

10) Use the table below to calculate chi square:

Classical music (3) Education cross-tabulation

 Less Than High School High School of higher Total Classical music (3) Like itMixed FeelingsDislike it Count% Within educationCount% Within educationCount% Within education 3530.4%2320.0%5749.6% 40354.2%19626.3%14519.5% 43851.0%21925.5%20223.5% Total Count% Within education 115100.0% 744100.0% 859100.0%

For each of the problems below:

A) Draw a scatterplot.

B) Calculate Pearson’s r

C) Calculate the y-intercept, slope, and draw a regression line on the scatterplot.

E) Calculate r2 and explain what it tells us about the relationship between the variables

F) Calculate the t-ratio for Pearson’s r and determine the level of significance

11) A researcher wants to learn more about the relationship between the number of miles traveled to work and earnings. She hypothesizes that wealthier employees live outside the city rather than in the city and decides to sample a group of workers from a bank located downtown. She obtains the following data.

 EARNINGS IN \$ (X) MILES TRAVELED TO WORK (Y) 33,25084,50066,35058,42545,60067,24077,900 5216781410

Prediction problem: How far from the city does an employee earning 50,000 live?

12) A researcher wants to investigate the relationship between social networks and virtual social networks. She predicts that large virtual networks will be associated with large “real” networks. She develops two networking indices to measure networking that range from 0 to 50. Use the data below to access her hypothesis.

 VIRTUAL SOCIAL NETWORKING SCORE (X) “REAL SOCIAL NETWORKING SCORE (Y) 25321610482215253441 20102319372541252618

Prediction problem: What is the “real” networking score for a respondent with a virtual networking score of 30?

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1. ## Solution: UST LEARNING ENHANCER PROBLEM QUESTIONS SOLUTION

Tutorial # 00018424 Posted By: jia_andy Posted on: 07/03/2014 01:26 PM
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