Download AP Statistics Midterm Review - Part II

AP Statistics Midterm Review – Part II
Chapter 2: LT #10-16, Chapter 6: LT #43
1. Items produced by a manufacturing process are supposed to weigh 90 grams. The manufacturing
process is such, however, that there is variability in the items produced and they do not all weigh
exactly 90 grams. The distribution of weights can be approximated by a Normal distribution with
mean 90 grams and a standard deviation of 1 gram. About what percentage of the items will either
weigh less than 87 grams or more than 93 grams?
2. Birthweights at a local hospital have a Normal distribution with a mean of 110 oz. and a standard
deviation of 15 oz.
(a) What is the probability that randomly chosen infants has a birthweight between 125 oz. and 140
oz.?
(b) What is the probability that of 10 babies born, exactly 3 of them will have birthweights between
125 oz and 140 oz?
(c) What is the probability that of 10 babies born, 3 or fewer of them will have birthweights between
125 oz and 140 oz?
3. If 30 is added to every number on a list, the only one of the following that is not changed is
(A) the mean
(B) the mode (C) the 75th percentile (D) the median
(E) the standard deviation
4. The mean number of days that the midge Chaoborus spends in its larval stage is 14.1 days, with a
standard deviation of 2.2 days. This distribution is skewed toward higher values. What is the z-score
for an individual midge that spends 12.7 days in its larval stage?
(A) -1.11
(B) -0.64
(C) 0.64
(D) 0.94
(E) None of these, because a z-score cannot be calculated unless the distribution is Normal
5. A real estate company compiled data on the prices at which 35 homes sold during a one month in a
county in New Jersey. A histogram and some summary statistics from Minitab for the home prices are
given below. (Note that home prices are in thousands of dollars.)
One of the houses in this data set sold for 350 thousand dollars. Six houses sold for more than that.
Calculate and interpret its percentile
6. Ramon is planning on buying a new car. He’s looking at the Ford Escape—a sport-utility vehicle—
which gets 28 highway miles per gallon, and the Ford Fusion—a mid-sized sedan—which gets 31
highway miles per gallon. The mean fuel efficiency for all sport utility vehicles is 23, with a standard
deviation of 7.6. The mean of all mid-sized sedans is 27, with a standard deviation of 5.2. Which vehicle
has a better standing, relative to others of the same style?
(A) The Ford Fusion sedan has a better relative standing, because it’s z-score is higher.
(B) The Ford Fusion sedan has a better relative standing, because it’s z-score is closer to 0.
(C) The Ford Escape SUV has a better relative standing, because it’s z-score is higher.
(D) The Ford Escape SUV has a better relative standing, because it’s z-score is closer to 0.
(E) We can’t make any comparisons unless we know the distribution of fuel efficiency for vehicle
types is Normally distributed.
7. A random sample of 15 people is taken from a population in which 40% favor a particular political
stand. What is the probability that exactly 6 individuals in the sample favor this political stand?
8. The probability that a certain machine will produce a defective item is ¼. If a random sample of 6
items is taken from the output of this machine, what is the probability that there will be 5 or more
defectives in the sample?