Question

According to the internet, the average (mean) height of adult men in the U.S. is 69.3 inches tall (about 5 foot, 9 inches tall). That seems wrong to me, and so I decide to test whether or not that is true by measuring the heights of a random sample of 63 adult men. I find that my sample of 63 women has a mean height of 71.2 inches, and a standard deviation of 1.2 inches.

Answer the following questions in the space provided below:

- State the null and alternative hypotheses. (Type mu instead of using the symbol.)
- Find the standard error of the distribution of sample statistics (null distribution). You will need to use one of the formulas for standard error from your formula sheet. Write down the formula you used and round the answer to one decimal place.
- Find the t-score for our observed statistic for this example.
- Formulate a conclusion based on your t-score.

Answer #1

Here claim is that mean is 69.3

So null hypothesis is and alternative hypothesis is

Standard error is

Test statistics is

P value is TDIST(12.57,62,2)=0.0000

As P value is less than alpha we reject the null hypothesis

Hence we do not have sufficient evidence to support the claim that mean is 69.3

The heights of adult men in America are normally distributed,
with a mean of 69.3 inches and a standard deviation of 2.62 inches.
The heights of adult women in America are also normally
distributed, but with a mean of 64.3 inches and a standard
deviation of 2.56 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score (to two
decimal places)?
z =
b) What percentage of men are SHORTER than 6 feet 3 inches?...

The heights of adult men in America are normally
distributed, with a mean of 69.3 inches and a standard deviation of
2.66 inches. The heights of adult women in America are also
normally distributed, but with a mean of 64.7 inches and a standard
deviation of 2.56 inches.
a) If a man is 6 feet 3 inches tall, what is his
z-score (to two decimal places)?
b) What percentage of men are SHORTER than 6 feet 3
inches? Round to...

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.

A large study of the heights of 920 adult men found that the
mean height was 71 inches tall. The standard deviation was 7
inches. If the distribution of data was normal, what is the
probability that a randomly selected male from the study was
between 64 and 92 inches tall? Use the 68-95-99.7 rule (sometimes
called the Empirical rule or the Standard Deviation rule). For
example, enter 0.68, NOT 68 or 68%.

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...

In
a certain country the heights of adult men are normally distributed
with a mean of 67.1 inches and a standard deviation of 2.3 inches.
The country's military requires that men have heights between 63
and 75 inches. Determine what percentage of this country's men are
eligible for the military based on height.
The percentage of men that are eligible for the military based
on height is what percentage?

The heights of adult men in America are normally distributed,
with a mean of 69.6 inches and a standard deviation of 2.63 inches.
The heights of adult women in America are also normally
distributed, but with a mean of 64.2 inches and a standard
deviation of 2.56 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score (to two
decimal places)?
z =
b) If a woman is 5 feet 11 inches tall, what is...

The heights of adult men in America are normally distributed,
with a mean of 69.8 inches and a standard deviation of 2.66 inches.
The heights of adult women in America are also normally
distributed, but with a mean of 64.4 inches and a standard
deviation of 2.56 inches.
a) If a man is 6 feet 3 inches tall, what is his z-score (to two
decimal places)?
z = .........
b) If a woman is 5 feet 11 inches tall, what...

The distribution of heights of adult men is approximately normal
with mean 69 inches and standard deviation of 2.5
inches.
a. What percent of men are shorter than 66 inches?
b. The distribution of heights of adult men is approximately
normal with mean 69 inches and standard deviation of 2.5 inches.
What is the probability that a man is taller than 74 inches?
c.. What is the probability that a man is between 70 and 72
inches tall?

Heights of men and women in the U.S. are normally distributed.
Recent information shows:
Adult men heights: µ = 69.6 inches with σ = 3
inches.
Adult women heights: µ = 64.1 inches with σ = 2.7 inches.
2.
In a group of 150 U.S. women, approximately how many would be
shorter than 63 inches?
(round to the nearest whole person)
Find the female height of the U.S. population that represents
the 62nd percentile (to the nearest inch):
Find the...

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