Elementary Statistics Chapter 5 Test  Form C
Name:___________________________ Course Number: __________ Section Number: _____
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
1) Lengths of pregnancies are normally distributed with a mean of 268 days and a standard
deviation of 15 days. (a) Find the probability of a pregnancy lasting more than 250 days. (b) Find
the probability of a pregnancy lasting more than 280 days. These two problems can be solved by
the same procedure. Draw the diagram for each and discuss the difference. Then, explain why
the same procedure can be used.
2) SAT verbal scores are normally distributed with a mean of 430 and a standard deviation of 120
(based on the data from the College Board ATP). If a sample of 15 students is selected randomly,
find the probability that the sample mean is above 500. Does the Central Limit theorem apply for
this problem?
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the
question.
Using the following uniform density curve, answer the question.
3) What is the probability that the random variable has a value greater than 3.5?
A) 0.4375 B) 0.5125 C) 0.5625 D) 0.6875
Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12
pounds,
and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the
probability of the given range of pounds lost.
4) Between 9 pounds and 12 pounds
A) 1
2 B) 1
3 C) 1
4 D) 2
3
If Z is a standard normal variable, find the probability.
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5) P(0.73 < Z < 2.27)
A) 0.7557 B) 0.2211 C) 1.54 D) 0.4884
1
Elementary Statistics Chapter 5 Test  Form C
The Precision Scientific Instrument Company manufactures thermometers that are supposed to give
readings of 0eC at the freezing point of water. Tests on a large sample of these thermometers reveal that
at
the freezing point of water, some give readings below 0eC (denoted by negative numbers) and some give
readings above 0eC (denoted by positive numbers). Assume that the mean reading is 0eC and the
standard
deviation of the readings is 1.00eC. Also assume that the frequency distribution of errors closely
resembles
the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading
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 Spring '16
 Christy Turner
 Statistics, Normal Distribution, Probability, Elementary Statistics Chapter

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