Question

The heights of male students are known to be normally distributed. One student in the class claims that the mean height is 68 inches. Another student claims that it is greater than 68 inches, and to support his claim takes an SRS of 16 male students and finds a sample mean of 69.3 inches and the standard deviation of his sample is 2.45 inches. Is this sufficient evidence that the mean height of all male students is greater than 68 inches?

Answer #1

Solution :

This is the right tailed test .

The null and alternative hypothesis is ,

H_{0} :
= 68

H_{a} :
> 68

Test statistic = t

= ( - ) / s / n

= (69.3 - 68) / 2.45 / 16

= 2.12

n = 16

df = 15

P-value = 0.0255

= 0.05

P-value <

Reject the null hypothesis .

There is sufficient evidence that the mean height of all male students is greater than 68 inches .

9. Heights of male students are known to be normally
distributed. One student in the class claims that
the mean height is 68 inches. Another student claims that the mean
height is greater than 68 inches. A
SRS of 16 male students has x = 69.3 inches and s = 2.45 inches. Is
this sufficient evidence at the 5%
level that the mean height of all male students is greater than 68
inches?

) Suppose College male students’ heights are normally
distributed with a mean of µ = 69.5 inches and a standard deviation
of σ =2.8 inches.
a) What is the probability that randomly selected male is at
least 70.5 inches tall?
b) If one male student is randomly selected, find the
probability that his height is less than 65.2 inches or greater
than 71.2 inches.
c) How tall is Shivam if only 30.5% of students are taller than
him ?
d)...

To estimate the mean height μμ of male students on your campus,
you will measure an SRS of students. Heights of people of the same
sex and similar ages are close to Normal. You know from government
data that the standard deviation of the heights of young men is
about 2.8 inches. Suppose that (unknown to you) the mean height of
all male students is 70 inches.
(a) If you choose one student at random, what is the probability
that...

Assume that the heights of 30,000 male students at a university
are normally distributed with a mean of 68.0 inches and a standard
deviation of 3.0 inches. A random sample of 35 students is taken
and the mean is calculated. What is the probability that this mean
value will be between 66.8 inches and 68.8 inches?

The heights of students in a 5th grade class are
normally distributed with mean height 45 inches and standard
deviation 5 inches. The students are divided into groups of 3. What
height is such that the probability that the total height for a
given group exceeds that height is 5%?

Assume that the heights of men are normally distributed with a
mean of 69.3 inches and a standard deviation of 3.5 inches. If 100
men are randomly selected, find the probability that they have a
mean height greater than 70.3 inches.

1.The height of an adult male in the United States is
approximately normally distributed with a mean of 69.3 inches and a
standard deviation of 2.8 inches. Find the percentile P76 for the
heights of adult males in the United States.
Round Answer to 4 decimal places.
2. The height of an adult male in the United States is
approximately normally distributed with a mean of 69.3 inches and a
standard deviation of 2.8 inches. Assume that such an individual...

1)
The height of an adult male in the United States is
approximately normally distributed with a mean of 69.3 inches and a
standard deviation of 2.8 inches.
Assume that such an individual is selected at random. What is
the probability that his height will be greater than 67.8
inches?
Round your answer to 4 decimal places.

Suppose that the heights of students are normally distributed
with mean 67 inches and standard deviation 3 inches. (a) What is
the probability that a randomly chosen student is at least 69
inches tall? (b) What is the probability that the mean height of a
random sample of 5 students is at least 69 inches? (c) What is the
probability that the mean height of a random sample of 20 students
is at least 69 inches?

data on the heights of 37 randomly selected female engineering
students at UH:
62 64 61 67 65 68 61 65 60 65 64 63 59
68 64 66 68 69 65 67 62 66 68 67 66 65
69 65 69 65 67 67 65 63 64 67 65
We found that the sample mean and sample standard deviation for
this sample data are 65.16 inches and 2.54 inches, respectively. Do
you find sufficient evidence in the sample data...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 31 minutes ago

asked 57 minutes ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago