Question

With a known population mean of 1500,and a known standard error of
the mean world of 42.50, what is the probability of selecting at
random a sample whose mean is equal to 1450 or less.

Answer #1

Solution:

Given that,

= 1500

_{} = 42.50

( 1450 )

=p ( - /_{}) (1450 - 1500 / 42.50)

= p( z - 50 / 42.50 )

= p ( z - 1.18 )

Using z table

= 0.1190

Probability = 0.1190

With a known population mean of 100, and a known standard error
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The population mean is known to be μ =160 and standard deviation
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15. Random samples of size 81 are taken from an infinite
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mean and the standard error of the mean are (assuming infinite
population)
a. 200 and 18
b. 81 and 18
c. 9 and 2
d. 200 and 2
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with a known standard deviation of 2.0. Find the standard error
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(b) If the size of sample is 36 and the standard error of the mean
is 2, what should be the size of the sample if the standard error
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solve the above problem step by step in proper format

A normally distributed population has a mean of
560
and a standard deviation of
60
.
a. Determine the probability that a random sample of size
25
selected from this population will have a sample mean less
than
519
.
b. Determine the probability that a random sample of size
16
selected from the population will have a sample mean greater
than or equal to
589
Although either technology or the standard normal distribution
table could be used to find...

Question 3
The larger the sample size, the __________ the standard error of
the mean.
Larger
Smaller
More diverse
Less diverse
1 points
Question 4
The central limits theorem tells us that the mean of the
sampling distribution of means will always be equal to:
0
standard error of the mean.
mean of the population.
mean of the sample.

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Probability = B. The probability that a random sample of 19 has a
mean between 619 and 646. Probability = C. The probability that a
random sample of 22 has a mean between 619 and 646. Probability
=

Given a normal population whose mean is 530 and whose standard
deviation is 68, find each of the following:
A. The probability that a random sample of 3 has a mean between
541 and 557.
Probability =
B. The probability that a random sample of 14 has a mean between
541 and 557.
Probability =
C. The probability that a random sample of 29 has a mean between
541 and 557.
Probability =

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b. If 64 SAT scores are randomly selected, find the probability
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The random sample is
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