Use the normal approximation to find the indicated probability.
The sample size is n, the population...
Use the normal approximation to find the indicated probability.
The sample size is n, the population proportion of
successes is p, and X is the number of successes
in the sample. n = 85, p = 0.64: P(X >
52)
Solutions
Expert Solution
Using Normal Approximation,
n= 85, p= 0.64, q = 0.36
Mu = n*p = 54.4
Sigma = sqrt(n*p*q) = 4.4254
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Use a normal approximation to find the probability of the
indicated number of voters. In this case, assume that 187 eligible
voters aged 18-24 are randomly selected. Suppose a previous study
showed that among eligible voters aged 18-24, 22% of them
voted.
Probability that exactly 46 voted
The probability that exactly 46 of 187 eligible voters voted is
______
(Round to four decimal places as needed.)
Use a normal approximation to find the probability of the
indicated number of voters. In this case, assume that 170 eligible
voters aged 18-24 are randomly selected. Suppose a previous study
showed that among eligible voters aged 18-24, 22% of them voted.
Probability that fewer than 43 voted.
The probability that fewer than 43 of 170 eligible voters voted
is
Use a normal approximation to find the probability of the
indicated number of voters. In this case, assume that 123 eligible
voters aged 18-24 are randomly selected. Suppose a previous study
showed that among eligible voters aged 18-24, 22% of them
voted.
Probability that exactly 31 voted
The probability that exactly 31 of 123 eligible voters voted is
?
.
Use a normal approximation to find the probability of the
indicated number of voters. In this case, assume that 144eligible
voters aged 18-24 are randomly selected. Suppose a previous study
showed that among eligible voters aged 18-24, 22% of them
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Probability that fewer than 34 voted
The probability that fewer than 34 of 144 eligible voters voted
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Use a normal approximation to find the probability of the
indicated number of voters. In this case, assume that 156 eligible
voters aged 18-24 are randomly selected. Suppose a previous study
showed that among eligible voters aged 18-24, 22% of them
voted.
The probability that fewer than 37 voted
Use a normal approximation to find the probability of the
indicated number of voters. In this case, assume that 120 eligible
voters aged 18-24 are randomly selected. Suppose a previous study
showed that among eligible voters aged 18-24, 22% of them
voted.
Probability that fewer than 30 voted?
Use a normal approximation to find the probability of the
indicated number of voters. In this case, assume that 160 eligible
voters aged 18-24 are randomly selected. Suppose a previous study
showed that among eligible voters aged 18-24, 22% of them
voted.
Probability that fewer than 39 voted
The probability that fewer than 39 of 160 eligible voters voted
is _____.
Use a normal approximation to find the probability of the
indicated number of voters. In this case, assume that 146 eligible
voters aged 18-24 are randomly selected. Suppose a previous study
showed that among eligible voters aged 18-24, 22% of them
voted.
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Assuming the population has an approximate normal distribution,
if a sample size n=10 has a sample mean ¯x=36 with a sample
standard deviation s=9, find the margin of error at a 90%
confidence level. THEN YOU MUST ROUND ANSWER TO TWO DECIMALS
PLACES.
Section 8.1 #38
A sample of size n = 80 is drawn from a
normal population whose standard deviation is σ = 6.8.
The sample mean is x̄ = 40.41.
a.
Construct a 90% confidence interval for
μ.
b.
If the population were not approximately normal,
would the confidence interval constructed in part (a) be valid?
Explain