Question

Blood sugar readings are normally distributed with a mean of 100
and a standard deviation of 28. Suppose a sample of 196 people is
randomly selected. Note: This is a sample mean situation.

a) (2 points) What is the sample mean?

b) (2 points) What is the sample standard deviation?

c) (3 points) What is the probability that the blood sugar sample
mean is between 97 and 103?

d) (2 points) Compute the 33th percentile of the blood pressure
sample mean.

Answer #1

Assume that blood pressure readings are normally distributed
with a mean of 122 and a standard deviation of 6.4. If 64 people
are randomly selected, find the probability that their mean blood
pressure will be less than 124

Assume that blood pressure readings are normally distributed
with a mean of 118 and a standard deviation of 6.4 . If 64 people
are randomly? selected, find the probability that their mean blood
pressure will be less than 120 . Round to four decimal places.

7. IQ scores are normally distributed with a mean of 100 and a
standard deviation of 15 points.
a. Find the probability that a randomly selected person has an
IQ less than 115.
b. Find the probability that a randomly selected person has an
IQ above 60.
c. Find the 80th percentile for IQ scores.
d. Find the probability that 20 randomly selected person has an
IQ less than 110.
e. What percentage of people have IQ scores between 60...

assume that blood pressure reading are normally
distributed with a mean of 115 and a standard deviation of 4.9. If
34 people are randomly selected find the probability that their
mean blood pressure will be less than 117

IQs are known to be normally distributed with mean 100 and
standard deviation 15. In a random sample of 37 people, find the
probability that the average IQ is between 96 and 103.

Assume that thermometer readings are normally distributed with a
mean of 0degreesC and a standard deviation of 1.00degreesC. A
thermometer is randomly selected and tested. For the case below,
draw a sketch, and find the probability of the reading. (The
given values are in Celsius degrees.) Between 1.50 and 2.25

1. IQ tests are normally distributed with a mean of 100 and a
standard deviation of 15. Find the following probabilities:
A) If a person is randomly selected, what is the probability
that the person had an IQ greater than125? _________________
b) If a person is randomly selected what is the probability that
the person has an IQ below 92?
c) If 40 people are randomly selected, what is the probability
that their mean IQ is between 98 and 108?

IQ is normally distributed with mean 100 and standard deviation
15. An IQ of 130 or above is considered gifted, and 150 and above
is considered genius. There are 350 million people living in the
United States.
1. Let X be the IQ of a person randomly selected from the
population. Compute Var(X^2). (Use binomial expansion!)

IQs of individuals are normally distributed with a mean of 100
and a standard deviation of 16.
If you sampled students at your college and assumed, as the null
hypothesis, that they had the same IQ as the population, then in a
random sample of size
(a) n = 25, find P(Y bar < 105)
(b) n = 100, find P(Y bar > 97)
(c) n = 144, find P(101< Y bar < 103)

Assume that the readings on the thermometers are normally
distributed with a mean of 0 degrees and standard deviation of
1.00degreesC. A thermometer is randomly selected and tested. Draw a
sketch and find the temperature reading corresponding to Upper P
85, the 85 th percentile. This is the temperature reading
separating the bottom 85 % from the top 15 %.

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