Question

a simple random sample of size 36 is taken from a normal population with mean 20 and standard deivation of 15. What is the probability the sample,neab,xbar based on these 36 observations will be within 4 units of the population mean. round to the hundreths placee

Answer #1

4 UNITS of population mean is 16 to 24

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a simple random sample of size 36 is taken from a normal
population with mean 20 and standard deivation of 15. What is the
probability the sample,neab,xbar based on these 36 observations
will be within 4 units of the population mean. round to the
hundreths place

A random sample of size 36 is taken from a population with mean
µ = 17 and standard deviation σ = 4. The probability that the
sample mean is greater than 18 is ________.
a. 0.8413
b. 0.0668
c. 0.1587
d. 0.9332

A random sample of 11 observations was taken from a normal
population. The sample mean and standard deviation are xbar= 74.5
and s= 9. Can we infer at the 5% significance level that the
population mean is greater than 70?
I already found the test statistic (1.66) but I’m at a loss for
how to find the p-value.

A random sample of size n1 = 25, taken from a normal
population with a standard deviation σ1 = 5.2, has a
sample mean = 85. A second random sample of size n2 =
36, taken from a different normal population with a standard
deviation σ2 = 3.4, has a sample mean = 83. Test the
claim that both means are equal at a 5% significance level. Find
P-value.

1. A sample size of 49 drawn from a population with a mean of 36
and a standard deviation of 15 for the size of an English class.
What is the probability the class will have greater than 40
a. .9693
b. .4693
c. .0808
d. .0307
2. A sample size of 49 drawn from a population with a mean of 36
and a standard deviation of 15 for the size of an English class.
What is the probability the...

A random sample of size n = 80 is taken from a
population with mean μ = -15.2 and standard deviation σ = 5.
What is the probability that the sample mean falls between -15
and -14? (Do not round intermediate calculations. If you
use the z table, round "z" values to 2 decimal
places. Round your final answer to 4 decimal places.

Suppose that a random sample of size 64 is to be selected from a
population with mean 40 and standard deviation 5.
(a) What is the mean of the xbar sampling distribution? 40 What
is the standard deviation of the xbar sampling distribution?
.625
(b) What is the approximate probability that xbar will be within
0.5 of the population mean μ ?
(c) What is the approximate probability that xbar will differ
from μ by more than 0.7?

Suppose that a random sample of size 64 is to be selected from a
population with mean 40 and standard deviation 5.
(a) What is the mean of the xbar sampling distribution? =40
What is the standard deviation of the xbar sampling distribution
(to 3 decimal places)? =0.625
For parts b & c round to 4 decimal places:
(b) What is the probability that xbar will be within 0.5 of the
population mean μ ?
(c) What is the probability...

A random sample of size 49 is taken from a population with mean
µ = 26 and standard deviation σ = 7. Use an appropriate normal
transformation to calculate the probability that the sample mean is
between 24 and 27.
Group of answer choices
0.0228
0.8641
0.8413
0.8185

A random sample of size 13 was taken from a population with a
population mean 27 and a population standard deviation 5.
Determine each of the following about the sampling distribution
of the sample mean.
Awnser A, B, C
Round your answer to at least 3 decimal places where
appropriate.
a) μx_=
b) σx_=
c) Can we conclude that the sampling distribution of
the sample mean is approximately normal? Yes or No

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