28 May Question We sample 20 new cars (sedans) and find the average
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 home
Pays rent Other |
590
241 23 |
45
57 4 |
27
24 3 |
662
322 28 |
| 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 it
Mixed feelings Dislike it |
Count
% Within Respondent’s sex Count % Within respondent’s sex Count % Within respondent’s sex |
56
15.3% 60 16.4% 250 68.3% |
55
11.1% 109 22.0% 332 66.9% |
111
12.9% 169 19.6% 582 67.5% |
| Total | Count
% Within respondents sex |
366
100.0% |
496
100.0% |
862
100.0% |
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.
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