Question

Given the population mean, μ = 45, and the population standard deviation, σ = 15 with a sample size of, n = 100.n = 100. Determine P ( x ¯ ≤ 42 ). To do this problem first determine the sampling mean and the sampling standard deviation in order to convert to a z-score. Round your answer to 4 decimals.

Answer #1

Solution :

Given that,

mean = = 45

standard deviation = =15

n = 100

= 45

= / n = 15 / 100=1.5

P( < 42) = P[( - ) / < (42-45) /1.5 ]

= P(z < -2)

Using z table

probability= 0.9772

For a population with a mean of μ = 26 and a standard deviation
of σ = 14, find the z-score corresponding to M =
26 for a sample of n = 4 scores.

A population has a mean μ=78 and a standard deviation σ=22. Find
the mean and standard deviation of a sampling distribution of
sample means with sample size
n=264.
μx= ?????

If a population is distributed with a mean μ and a standard
deviation σ, then the distribution of sample means is
distributed
A) normally with mean μ and standard deviation σ.
B) normally with mean μ and standard deviation σ/√(n).
C) with mean μ and standard deviation σ.
D) with mean μ and standard deviation σ/√(n).

The population has mean μ=29 and standard deviation σ=9.
This distribution is shown with the black dotted line.
We are asked for the mean and standard deviation of the
sampling distribution for a sample of size 34. The Central Limit
Theorem states that the sample mean of a sample of size n is
normally distributed with mean μx¯=μ and σx¯=σn√.
In our case, we have μ=29, σ=9, and n=34. So,
μx¯=29
and
σx¯=934‾‾‾√=1.5
This distribution is shown with the red...

1. A sampling distribution of the mean has a
mean μ X̄ =45 μ X̄ =45 and a
standard error σ X̄ =7 σ X̄ =7
based on a random sample of n=15.n=15.
a. What is the population mean?
b. What is the population standard
deviation?
Round to two decimal places if necessary
2. If it is appropriate to do so, use the normal approximation
to the p^ p^ -distribution to calculate the
indicated probability:
Standard Normal Distribution Table
n=80,p=0.715n=80,p=0.715
P( p̂ > 0.75)P( p̂ > 0.75) =
Enter 0...

6.A population has a mean of μ = 60 and a standard deviation
of σ = 12.
a.For the population, find the z-score for each of the
following X values.
X = 69: z =_____X = 84: z =_____X = 63: z =_____
X = 54: z =_____X = 48: z =_____X = 45: z =_____
b.For the same population, find the score (X value) that
corresponds to each of the following z-scores.
z = 0.50: X=_____ z = 1.50:...

A random sample is selected from a population with mean
μ = 102 and standard deviation σ = 10. Determine
the mean and standard deviation of the x sampling
distribution for each of the following sample sizes. (Round the
answers to three decimal places.)
(a) n = 12
μ =
σ =
(b) n = 13
μ =
σ =
(c) n = 37
μ =
σ =
(d) n = 70
μ =
σ =
(f) n = 140...

A random sample is selected from a population with mean μ = 100
and standard deviation σ = 10.
Determine the mean and standard deviation of the x sampling
distribution for each of the following sample sizes. (Round the
answers to three decimal places.)
(a) n = 8 μ = σ =
(b) n = 14 μ = σ =
(c) n = 34 μ = σ =
(d) n = 55 μ = σ =
(f) n = 110...

Suppose x has a normal distribution with mean μ = 45 and
standard deviation σ = 10.
Describe the distribution of x values for sample size n = 4.
(Round σx to two decimal places.)
μx =
σx =
Describe the distribution of x values for sample size n = 16.
(Round σx to two decimal places.)
μx =
σx =
Describe the distribution of x values for sample size n = 100.
(Round σx to two decimal places.)
μx...

given normal random variable x with mean μ= 57.1 and standard
deviation σ=13.2, what is P (46 < x̄ < 69)
for a sample of size n= 16?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 11 minutes ago

asked 15 minutes ago

asked 15 minutes ago

asked 17 minutes ago

asked 17 minutes ago

asked 23 minutes ago

asked 24 minutes ago

asked 25 minutes ago

asked 27 minutes ago

asked 35 minutes ago

asked 41 minutes ago

asked 41 minutes ago