Question
In: Statistics and Probability
Among various ethnic groups, the standard deviation of heights is known to be approximately three inches....
Among various ethnic groups, the standard deviation of heights is known to be approximately three inches. We wish to construct a 95% confidence interval for the mean height of males from a certain country. Forty-eight males are surveyed from a particular country. The sample mean is 70 inches. The sample standard deviation is 2.9 inches.
Construct a 95% confidence interval for the population mean height of males of this country.
(i) State the confidence interval. (Round your answers to two decimal places.)
(ii) Sketch the graph.
(iii) Calculate the error bound. (Round your answer to two decimal places.)
Solutions
orchestra answered 2 years agoRelated Solutions
The heights of women aged 18– 24 are approximately Normal with mean 65 inches and standard deviation 2.5 inches.
The heights of women aged 18– 24 are approximately Normal with mean 65 inches and standard deviation 2.5 inches.
A) What range contains the middle 95% of women heights?
B) What percentage of women is taller than 67.5 inches?
C) What percentage of women are taller than 70 inches?
D) How tall are the tallest 5% of women?
The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation...
The heights of 18-year-old men are approximately normally
distributed with mean 68 inches and standard deviation 3 inches.
What is the probability that the height of an 18-year-old man
selected at random is between 66 inches and 67 inches? 0.8807
0.4283 0.1193 0.3807 0.1333.
The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation...
The heights of 18-year-old men are approximately normally
distributed with mean 68 inches and standard deviation 3 inches.
What is the probability that the average height of a sample of
twenty 18-year-old men will be less than 69 inches? Round your
answer to four decimal places.
Women's heights are normally distributed with mean 64 inches and a standard deviation of 2.5 inches....
Women's heights are normally distributed with mean 64 inches and
a standard deviation of 2.5 inches.
(a) What percent of women are less than 60 inches tall?
(b) The requirement of all Navy pilots is between 62 inches and
78 inches. What percent of women meet the Navy requirement?
(c) If the Navy changed its requirement to eliminate the
"shortest" 5% of all women, what would the requirement be on the
lower end of the scale?
Heights of fences are normally distributed with a mean of 52 inches and a standard deviation...
Heights of fences are normally distributed with a mean of 52
inches and a standard deviation of 4 inches.
1. Find the probability that one randomly selected fence is under
54 inches.
2. Find the probability that two randomly selected fences are
both under 54 inches.
3. Find the probability that the mean height of 4 randomly
selected fences is under 54 inches.
Heights of women are normally distributed with a mean of 63.8 inches and a standard deviation...
Heights of women are normally distributed with a mean of 63.8
inches and a standard deviation of 2.6 inches.
a) find the probability that the height of a single randomly
chosen women is less than 62 inches
b) find the probability that the mean height of a sample of 16
women is less than 62 inches
Men’s heights are normally distributed with a mean of 72 inches and a standard deviation of...
Men’s heights are normally distributed with a mean of 72 inches
and a standard deviation of 3.1 inches. A social organization for
short people has a requirement that men must be at most 66 inches
tall. What percentages of men meet this requirement? Choose the
correct answer:
A-2.62%
B-2.59%
C-2.56%
D-2.68%
Find the critical value of t for a sample size of 24 and a 95%
confidence level. Choose the correct value from below:
A-2.096
B-2.064
C-2.046
D-2.069
Construct a...
Heights of adult American males are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches.
Heights of adult American males are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. The U.S. Marine Corps requires that males have heights between 64 inches and 78 inches. What percentage of males are eligible for the Marines based on height?
Heights for group of people are normally distributed with mean = 62 inches and standard deviation...
Heights for group of people are normally distributed with mean
= 62 inches and standard deviation = 3.7 inches. Find the
proportion, P, of people in the group whose heights fall into the
following ranges. (Round your answers to four decimal
places.)
(a) Between 61 inches and 62 inches.
P =
(b) Between 53 inches and 71 inches.
P =
(c) Less than 71 inches.
P =
(d) Greater than 53 inches.
P =
(e) Either...
Heights for group of people are normally distributed with mean = 61 inches and standard deviation...
Heights for group of people are normally distributed with mean
= 61 inches and standard deviation = 2.1 inches. Find the
proportion, P, of people in the group whose heights fall into the
following ranges. (Round your answers to four decimal
places.)
(a) Between 58 inches and 61 inches.
P =
(b) Between 56 inches and 66 inches.
P =
(c) Less than 66 inches.
P =
(d) Greater than 56 inches.
P =
(e) Either less than 56 inches...
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