TEST 2
14) According to the empirical rule, if the data form a "bell-shaped" normal distribution,
________ percent of the observations will be contained within 1 standard deviation around the
arithmetic mean.
A) 68.26
B) 75.00
C) 88.89
D) 93.75
Answer:
A

15) According to the Chebyshev rule, at least 93.75% of all observations in any data set are
contained within a distance of how many standard deviations around the mean?
D

16) True or False: If the data set is approximately bell-shaped, the empirical rule will more
accurately reflect the greater concentration of data close to the mean as compared to the
Chebyshev rule.

24) Which of the following about the binomial distribution is NOT a true statement?

25) A lab orders 100 rats a week for each of the 52 weeks in the year for experiments that the lab
conducts. Suppose the mean cost of rats used in lab experiments turned out to be $13.00 per
week. Interpret this value.
A) Most of the weeks resulted in rat costs of $13.00.
B) The median cost for the distribution of rat costs is $13.00.
C) The expected or average cost for all weekly rat purchases is $13.00.
D) The rat cost that occurs more often than any other is $13.00.

26) Which of the following about the normal distribution is NOT true?

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C) It is a discrete probability distribution.
D) Its parameters are the mean,
μ
, and standard deviation,
σ
.
27) The value of the cumulative standardized normal distribution at
Z
is 0.8770. The value of
Z
________.
is
C

28) For some value of
Z
, the value of the cumulative standardized normal distribution is 0.8340.
The value of
Z
is ________.
C

29) A company that sells annuities must base the annual payout on the probability distribution of
the length of life of the participants in the plan. Suppose the probability distribution of the
lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a
standard deviation of 3.5 years. Find the age at which payments have ceased for approximately
86% of the plan participants.