Question

Nationally, the average number of hours college students contributed to a governor’s election campaign to be no more than 10 hours a week. A random sample of 100 students averaged 8 hours a week with a standard deviation of 3 hours. Test the hypothesis that students in this sample contributed less hours to the campaign than the national college population? Set α=.05 level. What is the conclusion of the test?

A) Yes, students in this sample contributed less hours to the campaign than the national college population.

B) No, students in this sample did not contributed less hours to the campaign than the national college population.

C) The result is inconclusive.

Answer #1

Z test hypothesis calculation.

For all U.S. students nationally who take the SAT, SAT Math
scores are normally distributed with an average score of 500 for
all U.S. students and a population standard deviation of 125. A
random sample of 100 students entering Whitmer College had an
average SAT Math (SAT-M) score of 530.
The sample data can be used to test the claim that
the mean SAT-M score of all Whitmer College students is different
than the national mean SAT-M score.
From the...

8. Nationally, teenagers work an average of 16 hours per week
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of 3.2 hours. At α = 0.025, can the PTA’s claim be supported?

The accompanying data table lists the weights of male college
students in kilograms. Test the claim that male college students
have a mean weight that is less than the 8383 kg mean weight of
males in the general population. Use a 0.010.01 significance level.
Identify the null hypothesis, alternative hypothesis, test
statistic, P-value, and conclusion for the test. Assume this is a
simple random sample. Calculate the test statistic (round to three
decimals) That is the P value?

A large university claims the mean number of classroom hours per
week for full-time faculty is less than 9 hours per week. A random
sample 11 faculty is selected from this university and found that
the sample mean ¯x is 10 hours per week with a sample standard
deviation of s = 2.15. Perform a hypothesis test for the claim at α
= 0.05 level of significance?
(a) Hypothesis: H0 :
Ha :
(b) Test Statistics=
(c) Pvalue=
(d) The...

For all U.S. students nationally who take the SAT, SAT Math
scores are normally distributed with an average score of 500 for
all U.S. students . A random sample of 100 students entering
Whitmer College had an average SAT Math (SAT-M) score of 475 and a
sample standard deviation of 120. The sample data can be used to
test the claim that the mean SAT-M score of all Whitmer College
students is lower than the national mean SAT-M score. Based...

College students and STDs: A recent report estimated
that 25% of all college students in the United States have a
sexually transmitted disease (STD). Due to the demographics of the
community, the director of the campus health center believes that
the proportion of students who have a STD is lower at his
college.
He tests H0: p = 0.25 versus Ha: p <
0.25. The campus health center staff select a random sample of 50
students and determine that 18%...

A graduate student believed that, on the average, college
students spend more time on the Internet compared to the rest of
the population. She conducted a study to determine if her
hypothesis was correct. The student randomly surveyed 25 students
and found that the average amount of time spent on the Internet was
11.75 hours per week with a SD = 1.5 hours. The last census found
that, on the average, people spent 11 hour per week on the
Internet....

Among a random sample of 500 students the mean number of hours
worked per week at non-college related jobs is 14.6. This means
lies less 0.4 standard deviations below the mean of the sampling
distribution. If a second sample of 500 students is selected what
is the probability that the second sample , the mean number of
hours worked will be less than 14.6?

Some faculty believe that college students get less than 7 hours
of sleep per night on average. A survey of 30 students found an
average of 6.5 hours of sleep with a standard deviation of 1.8
hours. Are the faculty justified in their belief? Test this
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State the Null Hypothesis, Alternative Hypothesis, and the
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Then state your Decision (Reject H0 or Do Not Reject H0) and
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A very large study of college students’ study habits found that
the time (in hours) that freshmen study each week is approximately
normal with mean 24 hours and standard deviation 8 hours. What is
the probability that a sample of size n equals 16 from this
population would result in a sample mean greater than 30 hours?
0.7734 0.2266 0.0013 0.9987

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