Exercise 2
return to the information given in exercise 1.
a. in exercise 1, you calculated the probability that the monthly food cost for a randomly selected 14- to 18-yearold female is between $190 and $220. would the probability that the
monthly food cost for a randomly selected 14- to 18-year-old female is between $195 and $230 be greater than or smaller than the probability for between $190 and $220?
explain your thinking.
b. do you think that the probability that the monthly food cost for a randomly selected 14- to 18-year-old female is between $195 and $230 is closer to 0.50, 0.75, or 0.90?
explain your thinking.
c. using a graphing calculator, and without using zz-scores, find the probability (rounded to the nearest thousandth) that the monthly food cost for a randomly selected 14- to 18-year-old
female is between $195 and $230. is this probability consistent with your answer to part (b)?
d. how does the probability you calculated in part (c) compare to the probability that would have been obtained using the table of normal curve areas?
e. what is one advantage to using a graphing calculator to calculate this probability?
f. in exercise 1, you calculated the probability that the monthly food cost for a randomly selected 14- to 18-yearold female is at most $200. would the probability that the monthly food
cost for a randomly selected 14- to 18-year-old female is at most $210 be greater than or less than the probability for at most $200? explain your thinking.
g. do you think that the probability that the monthly food cost for a randomly selected 14- to 18-year-old female is at most $210 is closer to 0.10, 0.30, or 0.50? explain your thinking.
h. using a graphing calculator, and without using zz-scores, find the probability (rounded to the nearest thousandth) that the monthly food cost for a randomly selected 14- to 18-year-old
female is at most $210.
i. using a graphing calculator, and without using zz-scores, find the probability (rounded to the nearest thousandth) that the monthly food cost for a randomly selected
14- to 18-year-old female is at least $235.