Question

Question 1

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 248 feet and a standard deviation of 54 feet. We randomly sample 49 fly balls.

a) If X = average distance in feet for 49 fly balls, then give the distribution of X. Round your standard deviation to two decimal places.

X -N ( ?, ?)

b)What is the probability that the 49 balls traveled an average of less than 240 feet? (Round your answer to four decimal places.)

c) Find the 80th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.)

Question 2

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-six males are surveyed from a particular country. The sample mean is 72 inches. The sample standard deviation is 2.2 inches.

a) Find the following. (Enter exact numbers as integers, fractions, or decimals.)

σ =

b) Construct a 95% confidence interval for the population mean height of males of this country.

State the confidence interval. (Round your answers to two decimal places.)

C)

d) Calculate the error bound. (Round your answer to two decimal places.)

Answer #1

Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 240 feet and a
standard deviation of 58 feet. We randomly sample 49 fly balls.
A) If X= average distance in feet for 49 fly balls, then give
the distribution of X. Round your standard deviation to two decimal
places.
B) What is the probability that the 49 balls traveled an average
of less than 232 feet? (Round your answer...

Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 252 feet and a
standard deviation of 60 feet. We randomly sample 49 fly
balls.
Part (a)
If
X
= average distance in feet for 49 fly balls, then give the
distribution of
X.
Round your standard deviation to two decimal places.
X
~
,
.
Part (b)
What is the probability that the 49 balls traveled an average of...

Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 238 feet and a
standard deviation of 40 feet. We randomly sample 49 fly balls.
Part (a) If X = average distance in feet for 49 fly balls, then
give the distribution of X. Round your standard deviation to two
decimal places. X ~ , . ( , )
Part (b) What is the probability that the 49 balls traveled...

Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 248 feet and a
standard deviation of 54 feet. We randomly sample 49 fly balls.
Part (a) If X = average distance in feet for 49 fly balls, then
give the distribution of X. Round your standard deviation to two
decimal places. X ~ , .
Part (b) What is the probability that the 49 balls traveled an
average of...

Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 262 feet and a
standard deviation of 45 feet. Let X be the distance in feet for a
fly ball.
a. What is the distribution of X? X ~ N(,)
b. Find the probability that a randomly hit fly ball travels less
than 304 feet. Round to 4 decimal places.
c. Find the 80th percentile for the distribution of distance...

Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 210 feet and a
standard deviation of 40 feet. Let X = distance in feet for a fly
ball.
A) Give the distribution of X.
X ~ __ ____,_____
B) If one fly ball is randomly chosen from this distribution,
what is the probability that this ball traveled fewer than 184
feet? (Round your answer to four decimal places.)
c)...

Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 240 feet and a
standard deviation of 40 feet. Let X = distance in feet
for a fly ball.
a.) If one fly ball is randomly chosen from this distribution,
what is the probability that this ball traveled fewer than 212
feet? (Round your answer to four decimal places.)
b.) Find the 80th percentile of the distribution of fly balls....

Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 240 feet and a
standard deviation of 50 feet. Let X = distance in feet
for a fly ball.
If one fly ball is randomly chosen from this distribution, what
is the probability that this ball traveled fewer than 202 feet?
(Round your answer to four decimal places.)
Find the 80th percentile of the distribution of fly balls.
(Round your...

Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 257 feet and a
standard deviation of 54 feet. We randomly sample 36 fly balls. Let
X¯= average distance in feet for 36 fly balls. Enter numbers as
integers or fractions in "p/q" form, or as decimals accurate to
nearest 0.01 .
Use the mean and standard deviation of
X¯ to determine the
z value for X¯=240 .
What is...

Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 266 feet and a
standard deviation of 44 feet. Let X be the distance in feet for a
fly ball.
a. What is the distribution of X? X ~ N
b. Find the probability that a randomly hit fly ball travels
less than 240 feet. Round to 4 decimal places
c. Find the 75th percentile for the distribution of distance...

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