AP Stats Midterm Sample Test Study Guide
Detailed Questions And Expert Answers
The variability in a sampling distribution - ANS The spread of the sampling
distribution
X is a random variable that represents the profit made on a randomly selected day
by a local ice cream shop in the summer. Assume that X is Normal with mean $30
and standard deviation $55. What is P (X > $410) - ANS Approx. 0.1377
In a school of 800 students, the students in the AP Statistics class are planning a
random survey of 25 students to estimate the proportion who would drop tennis
rather than volleyball during the time of budget cuts. Mrs. Goldschmidt suggests
instead to survey 100 students in order to - ANS Reduce variability
A sampling distribution of the means of all possible samples of size 100 is formed.
The population distribution has a mean of 5 and a standard deviation of 1.4. What
is the value of miu x bar? - ANS 5
Recently, a large Gallup poll was conducted and 76% of Americans said that they
only look at the news headlines to stay up to date on what is happening around
the world. Assume that this is the parameter for the population of all Americans. If
you take a random sample of 20 Americans, let p hat be the proportion in the
sample who only read the news headlines, is the shape of the sampling
distribution of p hat approximately Normal?
, (A) Yes, because p > 0.50
(B) Yes, because np = 15.2
(C) Yes, because we can reasonably assume there are more than 100 individuals in
the population
(D) Yes, because we took a simple random sample
(E) No, bbecause n (1 - p)=4.8 - ANS E
Based on historical data, it takes students an average of 48 minutes with a
standard deviation of 15 minutes to complete the Unit 5 Test. What is the
probability that your class of 20 students will have a mean completion time greater
than 60 minutes on the Unit 5 Test. - ANS Approx. 0.0002
The random sample of size 25 is to be taken from a population that is Normally
distributed with a mean of 60 and standard deviation of 10. The mean x bar of the
observations in our sample is to be computed. The sampling distribution of x bar is
(A) is Normal with a mean of 60 and standard deviation of 10
(B) is Normal with a mean of 60 and standard deviation of 2
(C) is approximately Normal with a mean of 60 and standard deviation of 10
(D) has an unknown shape with a mean of 60 and standard deviation of 10
(E) has an unknown shape with a mean of 60 and standard deviation of 2 - ANS B
Which of the following best describes the sampling distribution of a sample mean?
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