0.. X MDS_2022_Chapter2_Test_Review.pdf IQ m i E AP Statistics Review: Chapter 2 21. Suppose that the average height of adult males in a particular locality is 70 inches with a standard deviation of 2.5 inches, and that these heights are Normally distributed. a. The middle 95% of males is between what two heights? b. Ninety percent of the heights are below what value? c. Ninety-nine percent of the heights are above what value? d. What percentage of the heights are between z-scores of i1, : 2, i 3 ? 22. Given a Normal distribution with standard deviation of 10, what is the mean if 2 1% of the values are below 50? 23. A coffee machine can be adjusted to deliver any xed number of ounces of coffee. If the machine has a standard deviation in delivery equal to 0.4 ounces, what should be the mean setting so that an 8- ounce cup will overow only 0.5% of the time? 24. The precooked weight of a McDonalds' Quarter Founder burger is known to follow a normal distribution. 22% of all patties have a precooked weight under 112.99 grams. It is also known that only 18% of all patties have a precooked weight above 1 13.77 grams. What are the mean and standard deviation for this distribution? 25. Kathy and her brother Clay recently ran in a local marathon. The distribution of nishing time for women was approximately normal with mean 259 minutes and standard deviation 32 minutes. The distribution of finishing time for men was approximately normal with mean 242 minutes and standard deviation 29 minutes. (a) The nishing time for Clay was 289 minutes. Calculate and interpret the standardized score for Clay's marathon time. Show your work. (b) The nishing time for Kathy was 272 minutes. What proportion of women who ran the marathon had a nishing time less than Kathy's? Show your work. (c) The standard deviation of nishing time is greater for women than for men. What does this indicate about the nishing times of the women who ran the marathon compared to the nishing times of the men who ran the marathon? 0.. AP Statistics Review: Chapter 2 Part 11: Free Response 17. The distribution of weights of 9-ounce bags of potato chips is approximately Normal with mean 9.12 18. 19. 20. ounces and standard deviation 0.05 ounces. a. Draw an accurate sketch of the distribution of potato chip bag weights. b. Between what weights do the middle 68% of bags fall? c. What percent of bags weigh less than 9.02 ounces? (1. What percent of bags weigh between 8.97 and 9.17 ounces? e. A bag that weighs 9.07 ounces is at what percentile in this distribution? Suppose that taxicabs in New York City are driven an average of 75,000 miles per year with a standard deviation of 12,000 miles. What infomiation does that empirical rule give us about taxicabs in New York City? Cucumbers grown on a certain farm have weights with a standard deviation of 2 ounces. If weights are Normally distributed and 85% of the cucumbers weigh less than 16 ounces, what is the mean weight? The life expectancy of a particular brand of lightbulb is Normally distributed with a mean of 1,500 hours and a standard deviation of 75 hours. For each question below, sketch a Normal curve and then answer the question. a. What proportion of lightbulbs will last less than 1,410 hours? b. What proportion of lightbulbs will last between 1,563 and 1,648 hours? c. What proportion of lightbulbs will last between 1,416 and 1,677 hours