Math  /  Data & Statistics

QuestionReview for Exam 2
1. A test has a mean of 65 and standard deviation of 20 . Using the normal distribution find a) the percentage of scores between 35 and 90 b) the percentage of scores above 60 c) the percentage of scores below 105 d) the percentage of scores below 58 e) the percentage of scores above 93 f) the percentage of scores between 65 and 90 g) the percentage of scores between 85 and 100
2. The average commuting time for a sample of 500 students is 8.5 minutes with a standard deviation of 1.5 . What is the average commute time for the population? Use a 95%95 \% confidence level.
3. Data from the Gallup poll show that 46%46 \% of a random sample of 1005 adults were in favor of the death penalty for a person convicted of murder. What is the level of support for the death penalty among the adult population of the US? Use a 99%99 \% confidence level.
4. From the 2020 GSS subsample, we find that 995 respondents out of a sample of 1500 believe in some form of life after death. What is your population estimate at the 95%95 \% confidence level and the 99%99 \% confidence level?

Studdy Solution
1. a) 82.76% b) 59.87% c) 97.72% d) 30.85% e) 6.68% f) 39.44% g) 12.1%
2. Between 8.37 and 8.63 minutes.
3. Between 42% and 50%.
4. 95% confidence: between 63.9% and 68.7%; 99% confidence: between 63.1% and 69.5%.

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