Question

A normal distribution has a standard deviation equal to 26. What is the mean of this normal distribution if the probability of scoring above

* x* = 183

is 0.0228? (Round your answer to one decimal place.)

You may need to use the appropriate table in Appendix C to answer
this question.

https://www.webassign.net/priviterastats3/priviterastats3_appendix_c.pdf

Answer #1

Solution:-

Given that,

x = 183

standard deviation = = 26

Using standard normal table,

P(Z > z) = 0.0228

= 1 - P(Z < z) = 0.0228

= P(Z < z) = 1 - 0.0228

= P(Z < z ) = 0.9772

= P(Z < 2.00 ) = 0.9772

z = 2.00

Using z-score formula,

x = z * +

183 = 2.00 * 26 +

= 183 - 52

= 131

A normal distribution has a standard deviation equal to 33. What
is the mean of this normal distribution if the probability of
scoring above x = 213 is 0.0228? (Round your answer to one decimal
place.)
According to national data, about 15% of American college
students earn a graduate degree. Using this estimate, what is the
probability that exactly 35 undergraduates in a random sample of
200 students will earn a college degree? Hint: Use the normal
approximation to the...

According to national data, about 13% of American college
students earn a graduate degree. Using this estimate, what is the
probability that exactly 28 undergraduates in a random sample of
200 students will earn a college degree? Hint: Use the
normal approximation to the binomial distribution, where
p = 0.13
and
q = 0.87.
(Round your answer to four decimal places.)
You may need to use the appropriate table in Appendix C to answer
this question.
https://www.webassign.net/priviterastats3/priviterastats3_appendix_c.pdf

Using the unit normal table, find the proportion under the
standard normal curve that lies between the following values.
(Round your answers to four decimal places.)
https://www.webassign.net/priviterastats3/priviterastats3_appendix_c.pdf
<-- unit normal table
(a) the mean and
z = 0
(b) the mean and
z = 1.96
(c)
z = −1.80 and z = 1.80
(d)
z = −0.40 and z = −0.10
(e)
z = 1.00 and z = 2.00

A normal distribution has a mean equal to 48. What is the
standard deviation of this normal distribution if 2.5% of the
proportion under the curve lies to the right of x = 61.72? (Round
your answer to two decimal places.)

1. Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 14.3; σ = 3.5
P(10 ≤ x ≤ 26)=?
2.Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 5.9; σ = 1.1
P(7 ≤ x ≤ 9)=?
3. Assume that x has a normal...

1.Assume that x has a normal distribution with the specified
mean and standard deviation. Find the indicated probability. (Round
your answer to four decimal places.) μ = 8; σ = 6 P(5 ≤ x ≤ 14)
=
2. Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 14.4; σ = 4.2
P(10 ≤ x ≤ 26) =
3. Assume that x has...

Suppose that blood chloride concentration (mmol/L) has a normal
distribution with mean 105 and standard deviation 5.
(a)
What is the probability that chloride concentration equals 106?
Is less than 106? Is at most 106? (Round your answers to four
decimal places.)
equals 106less than 106at most 106
(b)
What is the probability that chloride concentration differs from
the mean by more than 1 standard deviation? (Round your answer to
four decimal places.)
Does this probability depend on the values...

Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 15.6; σ = 4.3
P(10 ≤ x ≤ 26) =

Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 15.3; σ = 4.3
P(10 ≤ x ≤ 26) =

Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Round your answer to four decimal places.)
μ = 14.8; σ = 4.2
P(10 ≤ x ≤ 26) =

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 4 minutes ago

asked 5 minutes ago

asked 6 minutes ago

asked 12 minutes ago

asked 23 minutes ago

asked 25 minutes ago

asked 27 minutes ago

asked 27 minutes ago

asked 39 minutes ago

asked 39 minutes ago

asked 44 minutes ago