Question

Each member of a random sample of 20 business economists was asked to predict the rate of inflation for the coming year. Assume that the predictions for the whole population of business economists follow a normal distribution with standard deviation 1.6%.

a. The probability is 0.025 that the sample standard deviation is bigger than what number?

b. The probability is 0.001 that the sample standard deviation is less than what number?

c. Find any pair of numbers such that the probability that the sample standard deviation that lies between these numbers is 0.95.

Answer #1

Each member of a random sample of 17 business economists was
asked to predict the rate of inflation for the coming year. Assume
that the predictions for the whole population of business
economists follow a normal distribution with standard deviation
2.5%.
a. The probability is 0.001 that the sample standard deviation
is bigger than what number?
b. The probability is0.05 that the sample standard deviation is
less than what number?
c. Find any pair of numbers such that the probability...

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a) Find the probability that a random city will have more than
17000 business.
b) Find the probability that a random sample of size n=36 cities
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Each person in a random sample of 226 male teenagers and a
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A random sample of 5 college women was asked for their own
heights and their mothers' heights. The researchers wanted to know
whether the college women are taller on average than their mothers.
The results (in inches) follow:
Pair
1
2
3
4
5
Daughter
67
66
70
69
67
Mother
61
61
61
64
63
Let d = daughter's height - mother's height, and let
μd represent the average height difference of
daughter-mother pairs.
What is the sample mean...

A random sample of 5 college women was asked for their own
heights and their mothers' heights. The researchers wanted to know
whether the college women are taller on average than their mothers.
The results (in inches) follow:
Pair
1
2
3
4
5
Daughter
65
68
67
66
63
Mother
65
65
67
66
66
Let d=d= daughter's height - mother's height, and let μdμd
represent the average height difference of daughter-mother
pairs.
What is the sample mean of...

On each trial of a digit span memory task, the participant is
asked to read aloud a string of random digits. The participant must
then repeat the digits in the correct order. If the participant is
successful, the length of the next string is increased by one. For
instance, if the participant repeats four digits successfully, she
will hear five random digits on the next trial. The participant’s
score is the longest string of digits she can successfully
repeat.
A...

You are asked to do a study of shelters for abused and battered
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for a whole year, you find that the
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250
, with a
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. Fortunately, the distribution of the number of women in the
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Taxi
Bus
Rail
Uber
TOTAL
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25
12
15
Credit
20
10
47
67
City Pass
15
32
33
0
TOTAL
(1) (5 points) Complete the contingency table, filling in the
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(2) (5 points) What is the probability that a randomly selected
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1.The sample mean is an unbiased estimator for
the population mean. This means:
The sample mean always equals the population mean.
The average sample mean, over all possible samples, equals the
population mean.
The sample mean will only vary a little from the population
mean.
The sample mean has a normal distribution.
2.Which of the following statements is
CORRECTabout the sampling distribution of the
sample mean:
The standard error of the sample mean will decrease as the
sample size increases....

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