Question

6. A university student claims that on average, full-time students study more than 30 hours per week. A statistics class conducts a study to test the claim. The students randomly sample 15 students and find ?=32.4 hours and ?=4.2 hours.

a) State the null and alternative hypotheses.

b) Determine the outcome of the student’s test at the:

i) At the 5% significance level. (∝=0.05) ii) At the 1% significance level. ∝=0.01

Answer #1

A large university claims the mean number of classroom hours per
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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...

A student group claims that first year students at a university
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these students as a random sample
of all first-year students and suppose we know that study times
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Hypothesis testing: A student group claims that first-year
students at a university must study 2.25 hours per night during the
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students is 147 minutes. Regard these students as a random sample
of all 1st year students and suppose what study times follow a
Normal Distribution with a population standard deviation 62
minutes. Test to see if the...

The student academic group on a college campus claims that
freshman students study at least 2.5 hours per day, on average. One
Introduction to Statistics class was skeptical. The class took a
random sample of 30 freshman students and found a mean study time
of 137 minutes with a standard deviation of 45 minutes. If α = 0.01
(or 99% confidence level), is the student academic group’s claim
correct?

4. Study Time. A university states the mean
number of study hours per week for full-time student (12 units +)
should be at least 20 hours. Based on the random sample of weekly
study hours for the 8 full-time students listed below, is the mean
study time for all full-time students less than the recommended
amount? ( use a=.10, assume sample comes from a population that is
normal)
21.8 17.6 21.6
16.9 15.4 19.4 22.6
18.1
Check Assumptions:
Ho:
Diagram:...

A
student at South Plains College claims that the average cost of
textbook is more than $75 dollars. Test this student’s claim using
a 0.05 level of significance. A random sample of 15 textbooks had
an average price of $78.15 and a standard deviation of $8.80. (8
pts)

At a certain university, the average cost of books per student
was $390 per student last semester. In a sample of 35 students this
semester, their average cost was $410. Assume the population
standard deviation is $90. The Dean of Students claims that the
costs are greater this semester. Test the dean’s claim at α=0.05
level of significance. State the Hyp:
Test Value is_____=______
P-value = ________
Decision:______
Conclusion

Suppose a university advertises that its average class size is
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claim. A random sample of 43 classes was selected, and the average
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A professor in the education department believes that a sample
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standard deviation σ = 8.5 hours in the population of all
first-year students at this university.
Regard these students as an SRS from the population of all
first-year students at this university....

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