Question

The Department of Labor would like to test the hypothesis that the average hourly wage for recent college graduates is less than $20. A random sample of 24 recent college graduates averaged $19.30 per hour with a standard deviation of $3.20 per hour. The Department of Labor would like to set ? = 0.10. Use the critical value approach to test this hypothesis. please either type this answer or be very careful to make your handwriting legible

Answer #1

Given that, sample size (n)= 24

sample mean =$19.30 per hour

sample standard deviation ( s ) = $3.20 per hour

Significance level = 0.10

Null and alternative hypotheses are,

Test statistic is,

Test statistic is t = -1.072

t-critical value at
with degrees of freedom= n-1 = 24-1 =23 is, t^{*} =
-1.319

Decision rule: since it is left-tailed test,

Reject H0, if test statistic is less than critical value = -1.319

Here, test statistic = -1.072 > t^{*} = -1.319

implies that we fail to reject the null hypothesis (H0)

Conclusion: There is not sufficient evidence to conclude that the average hourly wage for recent college graduates is less than $20.

The Department of Education would like to test the hypothesis
that the average debt load of graduating students with a Bachelor's
degree is equal to $17,000. A random sample of 34 students had an
average debt load of $18,200. It is believed that the population
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It is believed that the population standard deviation for the age
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to set alphaαequals=0.05.
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YouTube would like to test the hypothesis that the average
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A random sample of 37 people watched online videos that averaged
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would like to set a=.02 the critical value for this hypothesis test
would be...

The Department of Education would like to test the hypothesis
that the average debt load of graduating students with a bachelor's
degree is equal to $17,000. A random sample of 34 students had an
average debt load of $18,200. It is believed that the population
standard deviation for student debt load is $4,200. The α is set to
0.05. (a) Perform a hypothesis test showing all steps.

The Department of Education would like to test the hypothesis
that the average debt load of graduating students with a bachelor’s
degree is equal to $17,000. A random sample of 34 students had an
average debt load of $18,200. It is believed that the population
standard deviation for student debt load is $4,200. The α is set to
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__________________.
Multiple Choice
[$16,279.7, $17,720.3]
[$14,839.1, $19,160.9]
[$16,788.22, $19,611.78]
[$14,118.9, $19,881.2]

For each test, show the complete analysis, including: the
hypotheses in correct notation, the calculation of the test
statistic, the rejection decision using your choice of p-value or
critical value approach -- be very precise, and a one-sentence
statement that explains the implication of the test
result.
In 2018, the U.S. Department of Labor reported the average
hourly earnings for U.S. production workers to be $16.62 per hour
(Bureau of Labor Statistics). A sample of 50 production workers
during 2019...

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deviation for this sample was 3.9 ounces. The producer would like
to set α=0.10. What is the test statistic for this hypothesis
test?

The
National Center for Education Statistics would like to test the
hypothesis that the proportion of Bachelor's degrees that were
earned by women equals o.60. A random sample of 140 college
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National Center for Education Statistics would like to set
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YouTube would like to test the hypothesis that the average
length of an online video watched by a user is more than 8 minutes.
A random sample of 37 people watched online videos that averaged
8.7 minutes in length. It is believed that the population standard
deviation for the length of online videos is 2.5 minutes. YouTube
would like to set ΅ = 0.02. The p-value for this hypothesis test
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A) 0.0150
B) 0.0245
C) 0.0446
D)...

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Women
Men
Sample standard deviation
2.6 years
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Sample size
24
20
Using
alpha?equals=?0.10,
what is the critical value for this hypothesis? test?
A.
Since the test statistic is less than the? critical? value, we
eject the...

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