Question

In the US, the population mean height for 3-yr-old boys is 38 inches. Suppose a random sample of 15 non-US 3-yr-old boys showed a sample mean of 37.2 inches with a standard deviation of 3 inches. Assume that the heights are normally distributed in the population. After conducting the hypothesis testing to determine whether the population mean for non-US boys is significantly different from the US population mean, we fail to reject the null hypothesis at 0.05 level.

If you were to construct a 95% confidence interval for the mean, do you expect to contain 38 inches in the interval?

Select one:

a. Not contain.

b. Contain.

Answer #1

Ans : b. Contain.

( we fail to reject the null hypothesis at 0.05 level. )

A. If the population mean height for
3-year-old boys is 37 inches. Suppose a random sample of 15
3-year-old boys from Country B showed a sample mean of 36.1 inches
with a standard deviation of 2 inches. The boys were independently
sampled. Assume that heights are Normally distributed in the
population.
a. Determine whether the population mean for Country B boys is
significantly different from the Country A mean. Use a significance
level of 0.05.
Find the test statistic t =...

In Country A, the population mean height for 3-year-old boys is
39 inches. Suppose a random sample of 15 3-year-old boys from
Country B showed a sample mean of 38.4 inches with a standard
deviation of 4 inches. The boys were independently sampled. Assume
that heights are Normally distributed in the population.
Reject or do not reject Upper H 0 . Choose the correct answer
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The heights of 11-year old boys in the United States are
normally distributed. A random sample of 9 boys
was taken and their mean height (in inches) was 56.67 and their
sample standard deviation was 3 inches. Perform a
hypothesis test at the 10% significance level to determine if the
mean height of 11-year old boys is more than 54
inches. Give the hypotheses, test statistic, rejection
region, P-value, decision, and interpretation.

1) The mean height of women in a country (ages 20-29) is 64.3
inches. A random sample of 75 women in this age group is selected.
What is the probability that the mean height for the sample is
greater than 65 inches? assume σ = 2.59
The probability that the mean height for the sample is greater
than 65 inches is __.
2) Construct the confidence interval for the population mean
μ
C=0.95 Xbar = 4.2 σ=0.9 n=44
95% confidence...

a sample of 279 one year old baby boys in the US had a mean
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decimal places

Assume that the heights of 5-year-old females is normally
distributed with a population mean height of all 5-year-old
females is 42.2 anda standard deviation of 3.13.
What is the mean and the standard deviation of the sample mean
of 10 girls? (Round to 4 decimal places)
Find the probability that the mean height of 10 girls is greater
than 45 inches. (Round to 4 decimal places) Input the StatCrunch
output in SHOW YOUR WORK.

Suppose the heights of 18-year-old men are approximately
normally distributed, with mean 71 inches and standard
deviation 2 inches.
1. What is the probability that an 18-year-old man selected at
random is between 70 and 72 inches tall? (Round your answer to four
decimal places.)
________________
2. If a random sample of twenty-eight 18-year-old men is
selected, what is the probability that the mean height x
is between 70 and 72 inches? (Round your answer to four decimal
places.)
_________________...

Suppose the heights of 18-year-old men are approximately
normally distributed, with mean 67 inches and standard
deviation 3 inches.
(a) What is the probability that an 18-year-old man
selected at random is between 66 and 68 inches tall? (Round your
answer to four decimal places.)
(b) If a random sample of twenty-five 18-year-old men is
selected, what is the probability that the mean height x
is between 66 and 68 inches? (Round your answer to four decimal
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(c) Compare...

Suppose the heights of 18-year-old men are approximately
normally distributed, with mean 67 inches and standard
deviation 2 inches.
(a) What is the probability that an 18-year-old man selected at
random is between 66 and 68 inches tall? (Round your answer to four
decimal places.)
(b) If a random sample of eleven 18-year-old men is selected,
what is the probability that the mean height x is between
66 and 68 inches? (Round your answer to four decimal places.)
(c) Compare...

Suppose the heights of 18-year-old men are approximately
normally distributed, with mean 70 inches and standard deviation 6
inches.
(a) What is the probability that an 18-year-old man selected at
random is between 69 and 71 inches tall? (Round your answer to four
decimal places.)
(b) If a random sample of twenty 18-year-old men is selected,
what is the probability that the mean height x is between 69 and 71
inches? (Round your answer to four decimal places.)
(c) Compare...

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