Question

The average income of 10 families who reside in a large metropolitan East coast city is $62,456. The standard deviation is $9652. The average income of 12 families who reside in a rural area of the Midwest is $60,213, with a standard deviation of $2009. What are the results if you want to determine at α = 0.05 if there is a difference in the income between families who live in the cities and those who live in the rural areas?

Accept the null hypothesis, the test statistic is less than 1.725. |
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Reject the null hypothesis, the test statistic is more than 1.725. |
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Accept the null hypothesis, the test statistic is less than 2.086. |
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Reject the null hypothesis, the test statistic is more than 2.086. |

Answer #1

A researcher is interested in seeing if the average income of
rural families is different than that of urban families. To see if
his claim is correct he randomly selects 42 families from a rural
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population standard deviation of $832. He then selects 47 families
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A) A research shows families spend average of $52 for eating out
each week. Population standard deviation was $12. There were 36
samples.
Second researcher claims the actual money spent is less than $42
per week.
What would be the null hypothesis?
B) What would be the alternative hypothesis?
C) What kind of test are we looking at?
D) Find the critical value
E) Given the information, would you reject the null hypothesis
or fail to reject the null hypothesis?

If the income of 1000 families in a city follows a normal distribution of an average of 1,800 riyals, then the standard deviation is 300
1- The probability of a family's income exceeding 2,400 riyals
2- The probability of family income greater than 1500 riyals
3- The probability of family income is less than 2550 riyals
3- The family income probability is 1200 riyals

The American Bar Association reports that the mean length of
time for a hearing in juvenile court is 25 minutes. Assume that
this is your population mean. As a lawyer who practices in the
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than this. You take a random sample of 20 other lawyers who do
juvenile work and ask them how long their last case in juvenile
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The Urban Institute in Washington, DC published an article on
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child-care expenses for a single-parent family are less compared to
two-parent families. A random sample of 500 single-parent
households had a yearly average child-care expense of $258 with a
sample standard deviation of $55. Another random sample of 400
two-parent households showed the average yearly child-care expense
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hypothesis test...

The average income of American women who work full-time and have
only a high school diploma is $31,666. An economist wonders whether
the mean income of female graduates from the local high school who
work full-time but only have a high school is less than the
national average. A random sample of 42 female graduates from this
local high school who work full-time and only have their high
school diploma found a mean income of $30,052. Assume that the
population...

A survey is conducted to estimate the average household income
in a large metropolitan area.
A random sample of 150 households in this area yielded an
average household income of $55,000 with a standard deviation of
$13,200.
(a) Construct a 95% confidence interval for the
mean household income in this area. (Choose the BEST answer)
(b) All other information remaining unchanged,
which of the following would produce a wider
interval than the 95% confidence interval constructed
above from Problem (a)?...

You wish to test the
claim that the average IQ score is less than 100 at the .005
significance level. You determine the hypotheses are:
Ho: μ=100
H1:μ<100
You take a simple
random sample of 76 individuals and find the mean IQ score is 95.5,
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hypothesis two ways: once with assuming the population standard
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Round to three decimal...

You wish to test the claim that the average IQ score is less
than 100 at the .01 significance level. You determine the
hypotheses are: H o : μ = 100 H 1 : μ < 100 You take a simple
random sample of 60 individuals and find the mean IQ score is 98.7,
with a standard deviation of 14.6. Let's consider testing this
hypothesis two ways: once with assuming the population standard
deviation is not known and once with...

Nationally, patients who go to the emergency room wait an
average of 7 hours to be admitted into the hospital. Do patients at
rural hospitals have a lower waiting time? The 10 randomly selected
patients who went to the emergency room at rural hospitals waited
an average of 6.2 hours to be admitted into the hospital. The
standard deviation for these 10 patients was 2.5 hours. What can be
concluded at the the αα = 0.01 level of significance level...

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