Question

An article in the *San Jose Mercury News* stated that
students in the California state university system take 5.5 years,
on average, to finish their undergraduate degrees. A freshman
student believes that the mean time is less and conducts a survey
of 60 students. The student obtains a sample mean of 4.9 with a
sample standard deviation of 0.3. Is there sufficient evidence to
support the student's claim at an α=0.1 significance level?

**Preliminary:**

- Is it safe to assume that n≤5% of all college students in the
local area?
- No
- Yes

- Is n≥30?
- Yes
- No

**Test the claim:**

- Determine the null and alternative hypotheses.
*Enter correct symbol and value.*

H0: μ=

Ha: μ? < != > - Determine the test statistic.
*Round to four decimal places.*

t= - Find the pp-value.
*Round to 4 decimals.*

p-value = - Make a decision.
- Reject the null hypothesis.
- Fail to reject the null hypothesis.

- Write the conclusion.
- There is sufficient evidence to support the claim that the mean time to complete an undergraduate degree in the California state university system is less than 5.5 years.
- There is not sufficient evidence to support the claim that that the mean time to complete an undergraduate degree in the California state university system is less than 5.5 years.

Answer #1

An article in the San Jose Mercury News stated that
students in the California state university system take 6 years, on
average, to finish their undergraduate degrees. A freshman student
believes that the mean time is less and conducts a survey of 39
students. The student obtains a sample mean of 5.7 with a sample
standard deviation of 1.8. Is there sufficient evidence to support
the student's claim at an α=0.01α=0.01 significance level?
Preliminary:
Is it safe to assume that...

An article in the San Jose Mercury News stated that
students in the California state university system take 5.5 years,
on average, to finish their undergraduate degrees. A freshman
student believes that the mean time is less and conducts a survey
of 54 students. The student obtains a sample mean of 4.7 with a
sample standard deviation of 1.2. Is there sufficient evidence to
support the student's claim at an α=0.01α=0.01 significance
level?
Preliminary:
Is it safe to assume that...

An article in the San Jose Mercury News stated that
students in the California state university system take 5 years, on
average, to finish their undergraduate degrees. A freshman student
believes that the mean time is less and conducts a survey of 38
students. The student obtains a sample mean of 4.4 with a sample
standard deviation of 0.3. Is there sufficient evidence to support
the student's claim at an α=0.01α=0.01 significance level?
Determine the test statistic. Round to four...

An article in the San Jose Mercury News stated that students in
the California state university system take 4.5 years, on average,
to finish their undergraduate degrees. Suppose you believe that the
mean time is longer. You conduct a survey of 49 students and obtain
a sample mean of 5.1 with a sample standard deviation of 1.2. Do
the data support your claim at the 99% confidence level?

An article in the San Jose Mercury News stated that
students in the California state university system take 4.5 years,
on average, to finish their undergraduate degrees. Suppose you
believe that the mean time is longer. You conduct a survey of 43
students and obtain a sample mean of 5.1 with a sample standard
deviation of 1.2. Do the data support your claim at the 1%
level?
Note: If you are using a Student's t-distribution for the
problem, you may...

1-
The mean age of bus drivers in Chicago is 55.3 years. If a
hypothesis test is performed, how should you interpret a decision
that rejects the null hypothesis?
A.There is sufficient evidence to support the claim u= 55.3
B. There is sufficient evidence to reject the claim u = 55.3
C.There is not sufficient evidence to reject the claim u =
55.3
D.There is not sufficient evidence to support the claim u =
55.3.
2-
The dean of a...

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increased 44% over the previous five years. Assume that a current
study is being conducted to determine if it can be concluded that
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previous studies,...

The average student loan debt is reported to be $25,235. A
student belives that the student loan debt is higher in her area.
She takes a random sample of 100 college students in her area and
determines the mean to be $27,524 and the standard devition to be
$6000. Is there sufficient evidence to support the student' claim
at a 5% significance level?
a) Determine the null and alternative hypotheses.
H0H0: μ=μ=
HaHa: μμSelect an answer < not = > (Put...

The Dean of the College of Liberal Arts and Sciences (CLAS)
reported that the mean time for CLAS students to complete their
degree at CU-Denver is less than 5 years. She randomly selected a
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to graduate was 4.75 years with a sample standard deviation of 0.8
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The dean of a university estimates that the mean number of
classroom hours per week for full-time faculty is
11.0.
As a member of the student council, you want to test this
claim. A random sample of the number of classroom hours for eight
full-time faculty for one week is shown in the table below. At
α=0.05,
can you reject the dean's claim? Complete parts (a) through
(d) below. Assume the population is normally distributed.
12.3
7.2
11.8
7.5
6.8...

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