82.25
91.97
93.42
2. (TCO 5) Historical sales records show that 40% of all customers who enter a
discount department store make a purchase. We are interested in calculating the
probability that 3 of 5 customers make purchase. Choose the best answer of the
following: (Points : 6)
This is an example of a Poisson probability experiment
This is an example of a Binomial probability experiment
This is neither a Poisson nor a Binomial probability experiment
Not enough information to determine the type of experiment
3. (TCO 5) Microfracture knee surgery has a 75% chance of success on patients
with degenerative knees. The surgery is performed on 5 patients. Find the
probability of the surgery being successful on more than 3 patients? (Points :
6)
0.487304
0.367188
0.632813
0.762695
4. (TCO 5) It has been recorded that 10 people get killed by shark attack every
year. What is the probability of having 7 or 8 people get killed by shark
attack this year? (Points : 6)
0.130141
0.202678
0.220221
0.797321
5. (TCO 2) The mean teaching hours for a full time faculty at a state
university is eight hours per week. What does this tell you about the typical
teaching hours for full time faculty at that university? (Points : 6)
Half the full time faculties teach less than eight hours per week while half
teaches more than eight hours per week.
The average teaching hours for full time faculty is eight hours per week.
More full time faculty teaches eight hours per week than any other number of teaching
hours.
The number of teaching hours for full time faculty in not very consistent
because eight is such a low number.
6. (TCO 6) Assuming that the data are normally distributed with a mean of 45
and a standard deviation of 3.25, what is the z-score for a value of 40?
(Points : 6)
1.54
2.38
-1.36
-1.54
7. (TCO 8) The mean hours of Internet usage by adults in the US in claimed to
be 25 hours per week. A hypothesis test is performed at a level of significance
of 0.05 with a P-value of 0.08. Choose the best interpretation of the
hypothesis test. (Points : 6)
Reject the null hypothesis; there is enough evidence to reject the claim that
the mean of hours Internet usage by adults in the US is 25 hours per week.
Reject the null hypothesis; there is enough evidence to support the claim that
the mean hours Internet usage by adults in the US is 25 hours per week.
Fail to reject the null hypothesis; there is not enough evidence to reject the
claim that the mean hours of Internet usage by adults in the US is 25 hours per
week.
Fail to reject the null hypothesis; there is not enough evidence to support the
claim that the mean hours of Internet usage by adults in the US is 25 hours per
week.
8. (TCO 8) A result of an entry level exam reveals that more than 22% of
students fail that exam.
In a hypothesis test conducted at a level of significance of 2%, a P-value of
0.035 was obtained. Choose the best interpretation of the hypothesis test.
(Points : 6)
Fail to reject the null hypothesis; there is not enough evidence to reject the
claim that 22% of students fail the entry level exam.
Fail to reject the null hypothesis; there is not enough evidence to support the
claim that 22% of students fail the entry level exam.
Reject the null hypothesis; there is enough evidence to reject the claim that
22% of students fail the entry level exam.
Reject the null hypothesis; there is enough evidence to support the claim that
22% of students fail the entry level exam.
9. (TCO 2) You want to buy light bulbs and you want to choose between two
vendors. Vendor A’s light bulbs have a mean life time of 800 hours and a
standard deviation of 175 hours. Vendor B’s light bulbs also have a mean life
time of 800 hours, but a standard deviation of 225 hours. You want light bulbs
that have more life time consistency, which vendor will you purchase from?
(Points : 6)
Vendor A because you will be more likely get light bulbs with the same life
time
Vendor B because you will be more likely get light bulbs with the same life
time
Either one because both produce light bulbs with the same mean life time.
Neither one because a mean height of 800 inches is too short for a light bulb.
10. (TCO 4) A jar contains balls of four different colors; red, blue, yellow
and green. The total balls are divides as 45% red, 35% blue, 15% yellow, and 5%
green. If you are to select one ball at random. Find the expected value of your
winning amount if the payments are set to be $5, $15, $25, $60 for red, blue,
yellow and green ball respectively.
Winning amount 5 15 25 60
Probability 45% 35% 15% 5%
(Points : 6)
The expected winning amount is $28.50
The expected winning amount is $14.25
The expected winning amount is $25.50
The expected winning amount is $11.25
11. (TCO 3) The grades of 20 students are listed in the stem and leaf diagram
below. What is the probability of randomly selected student to have a grade
more than or equal to 60 and less than or equal to 80.
4 | 4
5 | 6 8
6 | 5 7 9
7 | 1 5 7 8 8 9
8 | 0 2 5 7 8 8 9
9 | 7
(Points : 6)
0.65
0.50
0.45
-0.55
12. (TCO 1) A researcher is considering using 90% confidence interval for his
research project instead of 95%. What happens to the required sample size if
the confidence level is decreased from 95% to 90% and the same error margin is
allowed in each case? (Points : 6)
The sample size remains unchanged
The sample size needs to increase
The sample size needs to decrease
Not enough information is provided to draw a conclusion regarding the sample
size in this case.
13. (TCO 6) Horse race time is found to be normally distributed with a mean
value of 18 minutes and a standard deviation of 4 minutes. Horses whose race
time is in the top 6% will not be eligible to participate in a second round.
What is the lowers race time that makes a horse losses his eligibility to
participate in a second round? (Points : 6)
26.6
11.8
24.2
20.3
14. (TCO 5) A class containing 15 students 5 of them are females. In how many
ways can we select a group of 4 male students? (Points : 6)
260
120
5040
210
15. (TCO 6) Research shows that the life time of Everlast automobile tires is
normally distributed with a mean value of 65,000 miles and a standard deviation
of 6,500 miles. What is the probability of having a tire that lasts more than
75,000 miles? (Points : 6)
0.0618
1.54
0.9382
0.0606
16. (TCO 10) A research shows that employee salaries at company XYX, in
thousands of dollars, are given by the equation y-hat= 48.5 + 2.2 a + 1.5 b
where ‘a’ is the years of experience, and ‘b’ is the education level in years.
In thousands of dollars, predict the salary for an employee with 7 years
experience and 12 years education level. (Points : 6)
52.2
81.9
67.5
63.9
__________________________________________________________________________
1. (TCO 8) For the following statement, write the null hypothesis and the
alternative hypothesis. Also label which one is the claim.
A car manufacturer claims that their cars makes at least 35 miles per gallon of
fuel. (Points : 8)
2. (TCO 11) A pizza restaurant manager claims that the average home delivery
time for their pizza is no more than 18 minutes. A random sample of 36 home
delivery pizzas was collected. The sample mean was found to be 19.25 minutes
and the standard deviation was found to be 3.3 minutes. Is there evidence to
reject the manager’s claim at alpha =.02? Perform an appropriate hypothesis
test, showing the necessary calculations and/or explaining the process used to
obtain the results. (Points : 20)
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putting a syndicate together to aid in the
distribution and share the underwriting risk.