Please answer the following questions
The first 6 answers are based on the table I provided. (open the links)
https://drive.google.com/file/d/1U-9PKo1Exh2orZoSSGSOIiX5qMf-fmbW/view?usp=sharing
https://drive.google.com/file/d/1TlLau1XUvKtADytKNtOdcqANUbMBDRu4/view?usp=sharing
1. How many liberals are in this sample?
2. In this sample, what is the minimum number of servings of ice cream enjoyed by conservatives over the last week?
3. What is the median number of servings enjoyed by conservatives?
4. What is the most common combination of political view and ice cream flavor?
a. Conservative-Mint Chip
b. Moderate-Strawberry
c. Liberal-Chocolate
d. Conservative-Vanilla
5. People with which favorite ice cream eat the most ice cream overall?
a. Chocolate
b. Mint Chip
c. Strawberry
d. Vanilla
6. People with which favorite ice cream have the lowest median ice cream consumption?
a. Chocolate
b. Mint Chip
c. Strawberry
d. Vanilla
7. If I were conducting a survey of retirees and asking them about their work schedules on the first jobs, I would need to be worried about
a. Selection bias
b. Publication bias
c.Recall bias
d.Healthy user bias
8. Lets say I want to learn more about ice cream consumption and political views. I decide to interview people coming into my local ice cream parlor. I need to be worried about:
a. Selection bias
b. Publication bias
c. Recall bias
d. Healthy user bias
9. In a standard normal distribution (mean = 0, standard deviation = 1), what percent of the distribution is found to the left of 1.2? (Z < 1.2) 10. In a standard normal distribution (mean = 0, standard deviation = 1), what percent of the distribution is found to the right of 1.2? (Z > 1.2)
11. In a standard normal distribution (mean = 0, standard deviation = 1), what percent of the distribution is found to the left of -1.2? (Z < -1.2) 12. In a standard normal distribution (mean = 0, standard deviation = 1), what percent of the distribution is found between -1.2 and 1.2? (-1.2 < Z < 1.2) 13. This season, the Brooklyn Nets are leading the NBA in points per game. On average, they score 121.4 points per game, with a standard deviation of 12.3 points. What percentage of Nets games end with them scoring less than 95 points? 14. What percentage of games end with the Nets scoring more than 130 points? 15. What percentage of games end with the Nets scoring between 115 and 135 points? 16. My son is currently in the 90th percentile for height among 2-year-old boys (normal distribution with mean 31.2 inches and standard deviation of 2.3 inches). How tall is he? 17. Follow-up on question 9: what is his Z-score on the distribution? 18. At the same age, my daughter was shorter (33.3 inches tall). The distribution of heights for girls is also normal, but the mean is lower (30.6 inches) and the standard deviation smaller (1.9 inches). Did she fall at a lower percentile than he did? Yes No Can't Say Given Information 19. Lets say we carry out a strange survey of ice cream preferences of people living in New Jersey. We interview 32 people and 8 said that their favorite flavor is Mint Chip. What is the sample proportion (p-hat) that prefer Mint Chip? 20. Whats the standard error for this estimate? 21. Would this estimate meet the success-failure condition laid out in OpenIntro Statistics? Yes No Can't Say Given Information 22. Now if we increased the sample size to 100 respondents and still observed the same percentage of people preferring Mint Chip, what would the standard error be? 23. Increase the sample size one more time, now to 1,000 respondents. Now we find that 27.2% of respondents favor Mint Chip. Whats the standard error? 24. It turns out that back in the year 2000 some other strange professor of Sociology at Rutgers conducted a similar surveyalso of 1,000 residents of New Jerseyand determined that 35% of people favored Mint Chip ice cream. Is there evidence here of a significant change in preferences? (Note: anything more than two standard errors away from the mean would be considered significant.) Yes No Can't Say Given Information 25. Now say we replicate this survey in New York City, with a random sample of 567 New Yorkers. We find that 145 people favor Mint Chip. Whats the sample parameter (p-hat)? 26. Follow-up on the previous question: whats the standard error of the point estimate? 27. Is the point estimate for New Yorkers significantly different than that among people who live in New Jersey (27.2%)? (Again: anything more than two standard errors away from the mean would be considered significant.) Yes No Can't Say Given Information 28. Now, suppose that we knew that the true valuethe percentage of New Yorkers who prefer Mint Chipis actually 32%. Recompute the answer to question 18 using p=0.32.
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