Question

With a known population mean of 100, and a known standard error of the mean of 85, what is the probability of selecting at random a sample whose mean is equal to 110 or greater?

Answer #1

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.

6. Assume that adults have IQ scores that are normally
distributed with mean 100 and standard deviation 15. In each case,
draw the graph (optional), then find the probability of the given
scores. ROUND YOUR ANSWERS TO 4 DECIMAL PLACES
a. Find the probability of selecting a subject whose score is
less than 115. __________
b. Find the probability of selecting a subject whose score is
greater than 131.5. __________
c. Find the probability of selecting a subject whose score...

Assuming a population is normally distributed with
a mean score of 100 and a standard deviation of 10.
A) What is the probability of selecting an item from the
population with a score of more than 110?
B) What proportion of the population is expected to have scores
above 100?
C) What is the probability of a score between 95 and 110?
D) What is the probability of a score less than 95?
E) What is the probability of...

A population has a mean of 75 and a standard deviation of 32.
Suppose a random sample size of 80 will be taken.
1. What are the expected value and the standard deviation of the
sample mean x ̅?
2. Describe the probability distribution to x ̅. Draw a graph of
this probability distribution of x ̅ with its mean and standard
deviation.
3. What is the probability that the sample mean is greater than
85? What is the probability...

The population mean is known to be μ =160 and standard deviation
σ = 30.
What is the probability of selecting one individual from this
population that has a value higher than 190?

For a particular known population, the mean is 100 and the standard
deviation is 5. A researcher conducts a study in which 10
participants are exposed to an experimental procedure. To test the
hypothesis that the population these 10 participants represent is
different from the known population, the comparison distribution’s
mean would be:

IQs are known to be normally distributed with mean 100 and
standard deviation 15. In a random sample of 37 people, find the
probability that the average IQ is between 96 and 103.

With a mean of 100 and a standard deviation of 15, a random
sample of 100 IQ scores is selected. The probability that the
sample mean is less than k is 85%. Find k.

Q.6. (a) A random sample is drawn from a population
with a known standard deviation of 2.0. Find the standard error
(SE) of the sample mean if the sample size is (i) 16, (ii) 36,
(iii) 81.
(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
is reduced to 1.2?
solve the above problem step by step in proper format

15. Random samples of size 81 are taken from an infinite
population whose mean and standard deviation are 200 and 18,
respectively. The distribution of the population is unknown. The
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
16. A population has a mean of 300 and a standard deviation of
18. A sample of 144 observations will be taken....

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