Normal Distributions According to the Center for Disease Control, young adult women have an average systolic blood pressure of 114.8 with a standard deviation of 13.1. Systolic blood pressure for young adult women follows a normal distribution. Four young adult women were randomly selected, find the probability that their average systolic blood pressure is greater than 125. P(I > 125) = For this problem, we were told that the distribution is normal. If the shape of the distribution was not stated, we would not have been able to use the normal distribution table to find the probability. What does the Central Limit Theorem tell us to do to be able to normalize the distribution? It cannot be normalized What is the rule of thumb for normalizing the sampling distribution of means? np 2 10 and ng 2 10 + Please answer all parts of the question.
Normal Distributions According to the Center for Disease Control, young adult women have an average systolic blood pressure of 114.8 with a standard deviation of 13.1. Systolic blood pressure for young adult women follows a normal distribution. Four young adult women were randomly selected, find the probability that their average systolic blood pressure is greater than 125. P(I > 125) = For this problem, we were told that the distribution is normal. If the shape of the distribution was not stated, we would not have been able to use the normal distribution table to find the probability. What does the Central Limit Theorem tell us to do to be able to normalize the distribution? It cannot be normalized What is the rule of thumb for normalizing the sampling distribution of means? np 2 10 and ng 2 10 + Please answer all parts of the question.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:Normal Distributions
According to the Center for Disease Control, young
adult women have an average systolic blood pressure
of 114.8 with a standard deviation of 13.1. Systolic
blood pressure for young adult women follows a
normal distribution. Four young adult women were
randomly selected, find the probability that their
average systolic blood pressure is greater than 125.
P(I > 125) =
For this problem, we were told that the distribution is
normal. If the shape of the distribution was not
stated, we would not have been able to use the
normal distribution table to find the probability. What
does the Central Limit Theorem tell us to do to be
able to normalize the distribution?
It cannot be normalized
What is the rule of thumb for normalizing the
sampling distribution of means?
np 2 10 and ng 2 10 +
Please answer all parts of the question.
Transcribed Image Text:Normal Approximation
According to the May 16,2017 report by Pew
Research, 68% of US adults say solar energy is very
effective in minimizing air pollution. A sample of 240
U.S adults are surveyed. Let p be the sample
proportion of Americans who believe solar energy is
very effective in minimizing air pollution.
1. What is the population proportion?
0.68
(decimal form)
2. What is the sample size?
240
3. Can the normal approximation be used with
this distribution?
Yes, the sample distribution meets the "rule of thumb." +
4. What is the mean of the sampling proportion?
120
5. What is the standard deviation of the sampling
(Round to 4th
proportion?
decimal place)
6. What is the probability that no more than 156
U.S adults of the 240 surveyed believe solar
energy is very effective in minimizing air
pollution?
What is p? 0.65
(decimal form)
What is the z-score?
(Round
to the hundredths place)
What is the probability that no more than
156 U.S. adults of the 240 surveyed believe
solar energy is very effective in minimizing
air pollution?
(decimal form)
Please answer all parts of the question.
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