Question

it is known that the height of ten year old boys in normally distributed with a population standard deviation on 4.24 cm. If a random sample of 64 ten year old boys are considered what is the probability that the average height of this sample of ten year old boys will differ by no more than 1.15 cm in either direction from the unknown population mean height of ten year old boys?

Answer #1

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.

Assume that the population mean weight for ten year old boys is
μ = 88 pounds with population standard deviation σ = 2.2 pounds.
Also assume that the data is normally distributed. What proportion
of ten year old boys weigh more than 91 pounds?

1. In the united states the population mean height for 4 year
old boys is 39 inches, Suppose a random sample of 32 NON
-US 4 year old boys showed a sample mean of 38.2 inches
with a standard deviation of 3.1inches. The boys were independently
sampled. Assume the heights are normally distributed in the
population. Determine weather the population mean for non us boys
is significantly different from the US population mean, use a
significance level of 5%

In the country of Heightlandia, the height measurements of
ten-year-old children are normally distributed with a mean of 53.4
inches, and standard deviation of 4.5 inches.
Round any probabilities to four decimals.
(a) What is the probability that a randomly chosen
child has a height of less than 45.75 inches?
(b) What is the probability that a randomly chosen
child has a height of more than 57.9 inches?
(c) What is the probability that a randomly chosen
child has a...

In Country A, the population mean height for 3-year-old boys
is
38
inches. Suppose a random sample of 15 3-year-old boys from
Country B showed a sample mean of
37.1
inches with a standard deviation of
3
inches. The boys were independently sampled. Assume that heights
are Normally distributed in the population. Complete parts a
through c below.
a.Determine whether the population mean for Country B boys is
significantly different from the Country A mean. Use a significance
level of...

According to the children's growth chart the heights of
two-year-old boys are normally distributed with a mean of 32.3
inches and a standard deviation of 1.4 inches. If a two-year-old
boy is selected at random, what is the probability that he will be
more than 34.2 inches tall?

In Country A, 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 36.8 inches with a standard
deviation of 4 inches. The boys were independently sampled. Assume
that heights are Normally distributed in the population. Complete
parts a through c below. a. Determine whether the population mean
for Country B boys is significantly different from the Country A
mean. Use a significance level...

1) In the country of United States of Heightlandia, the height
measurements of ten-year-old children are approximately normally
distributed with a mean of 56 inches, and standard deviation of 2.6
inches.
What is the probability that the height of a randomly chosen
child is between 61.9 and 62.5 inches?
2) A population of values has a normal distribution with μ=100.2
and σ=6.6. You intend to draw a random sample of size n=182.
Find the probability that a sample of size...

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.

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
below.
A. Reject Upper H 0 . The population mean is definitely not 39
in....

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 1 minute ago

asked 13 minutes ago

asked 46 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago