FOR MORE CLASSES VISIT www.tutorialoutlet.com 1. Suppose that in a large metropolitan area, 82% of all households have cable tv. Suppose you are interested in selecting a group of six households from this area. Let X be the number of households in a group of six households from this area that have cable tv. For what proportion of groups will at most three of the households have cable tv?

1. Suppose that in a large metropolitan area, 82% of all
households have cable tv. Suppose you are interested in
selecting a group of six households
FOR MORE CLASSES VISIT
www.tutorialoutlet.com
1. Suppose that in a large metropolitan area, 82% of all households have cable
tv. Suppose you are interested in selecting a group of six households from this
area. Let X be the number of
households in a group of six households from this area that have cable tv. For
what proportion of
groups will at most three of the households have cable tv?
a. 0.924
b. 0.400
c. 0.696
d. 0.304
e. 0.076

2. 2. A potato chip company calculated that there is a mean of 75.4 broken potato
chips in each
production run with a standard deviation of 5.2. If the distribution is
approximately normal, find
the probability that three will be fewer than 66 broken chips in a run.
a. 0.035
b. 0.335
c. 0.018
d. 0.285
e. 0.965
3. A distribution of grades in an introductory statistics class (where A = 4, B =
3, etc) is:
X
P(x) 0

3. 0.09 1
0.19 2
0.21 3
0.32 4
0.19 Find the mean and variance for the grades in this class.
a. Mean = 2.33, variance -= 1.5211
b. Mean = 2.42, variance = 0.76055
c. Mean = 2.33, variance = 0.76055
d. Mean = 2.24, variance = 1.2333
e. Mean = 2.24, variance = 1.5211
4. The weights of male and female students in a class are summarized in the
following boxplots: Which of the following is NOT correct?

4. a. The median median weight of the male students is about 166 pounds.
b. About 50% of the male students have weights between 150 and 185.
c. The mean weight of female students is about 120 because of symmetry.
d. The male students have less variability than the female students.
5. Given that P(A)= 0.27, P(B) = 0.43, and P(A ∩ B) = 0.08, find P (A | B).
a. 0.844
b. 0.814
c. 0.186 d. 0.116
e. 0.296
6. Identify the most appropriate test to use for the following situation: A private
and a public
university are located in the same city. For the private university, 1046 alumni
were surveyed and

5. 653 said that they attended at least one class reunion. For the public university,
791 out of 1327
sampled alumni claimed they have attended at least one class reunion. Is the
difference in the
sample proportions statistically significant?
a. Two Sample Z Test For Means
b. Two Sample z test for proportions
c. One sample t test for mean
d. One sample z test for mean
e. Matched pairs t test for means
f. One sample z test for proportions
g. One sample t test for means
7. A random sample of 169 cans of fruit nectar is drawn from among all cans
produced in a run.

6. Prior experience has shown that the distribution of the contents has a mean of
14.11 ounces and
a standard deviation of 2.18 ounce. What is the probability that the average
contents of the 169
sample cans is less than 13.74 ounces?
a. 0.973
b. 0.014
c. 0.034
d. 0.027
e. 0.986
8. A random variable X has a probability distribution as follows:
X
P(X) 0

7. 3k 1
5k 2
5k 3
3k 4
2k What is P(X < 2)?
a. 1/18
b. 4/9
c. 8/9
d. 13/18
e. Cannot be determined.
9. Find a value of c so that P(Z ≤ c) = 0.56.
a. -0.572

8. b. -0.303
c. 1.017
d. 0.578
e. 0.151 10. The following table displays the results of a sample of 100 in which
the subjects indicated their
favorite ice cream of three listed. The data are organized by favorite ice cream
and age group.
What is the probability that a person chosen at random will be between 20 and
40 years old if he
or she favors vanilla? Age
Over 40
20-40
Under 20
a.

9. b.
c.
d.
e. Chocolate
12
15
12 Vanilla
7
8
17 Strawberry
11

10. 12
6 ¼
8/35
2/25
¾
23/25 11. A random sample of 144 observations produced a sample proportion
of 0.25. An approximate
90% confidence interval for the population proportion p is between
a. 0.181 and 0.319
b. 0.191 and 0.321
c. 0.214 and 0.286
d. 0.191 and 0.309
e. 0.179 and 0.321

11. 12. Data for gas mileage (in mpg) for different vehicles was entered into a
software package and part
of the ANOVA table is shown below:
Source
Vehicle
Error
Total DF
5
6
11 SS
505
202

12. 707 MS
252.50
33.67 Determine the p-value for the data.
a.
b.
c.
d.
e. 0.4103
0.0146
0.0073
0.0750
0.0049 13. If P-value is larger than the level of significance α, then the
researcher should ______ at level α.

13. a. Reject H0
b. Fail to reject H0
c. Accept H0
14. The one-sample t statistics for a test of H0 : μ = 14 vs. Ha : μ < 14 based
on n = 16 observations
has the test statistic value of -1.68. What is the p-value for this test?
a. 0.057
b. 0.114
c. 0.000
d. 0.943 e. 0.357
15. A study of iron deficiency in infants compared samples of infants whose
mothers chose different
ways of feeding them. One group contained breast-fed infants. The children in
another group

14. were fed a standard baby formula without any iron supplements. Here are
summary results on
blood hemoglobin levels at 12 months of age:
Formula 27
33 15.3
16.9 2.2
1.9 Part a: We want to see if the mean hemoglobin level is greater among
formulafed babies. State
the hypotheses and perform the significance test on your hypothesis. Report the
test statistic
and p-value. State your conclusion in terms of the issue.
Part b: Give a 95% confidence interval for the mean difference in hemoglobin
level between the

15. two populations of infants.
16. Consumer Reports rated 77 cereals on a scale of 0 to 100. The number of
grams of sugar
contained in each serving of the corresponding cereals was also recorded. Using
sugar as the
explanatory variable and the Consumer Reports rating as the dependent
variable, computer
output of the data is as follows (the p-values are intentionally left blank):
Predictor
Constant
Sugars
S = 9.204 Coef
58.93
-2.56

16. R-Sq = 61.2% StDev
1.847
0.28 T
30.58
-9.98 P
----- R-Sq(adj) = 59.9% Part a: What is the regression equation?
Part b: Calculate the 95% confidence interval of the slope of the regression line
for all cereals.
Part c: Use the information provided to test whether there is a significant
relationship between
the sugar content and the Consumer Report rating at the 5% level. 17. Suppose
the random variable X has CDF given by the function: Part a: Find P(X ≤ 1)
Part b: P(0.5 ≤ X ≤ 1)
Part c: Find the density function f(x). 18. Suppose you wish to test if a number
cube (die) is loaded or not. If the die is not loaded, the

17. theoretical probabilities for each roll should be:
1
16 2/3 % 2
16 2/3 % 3
16 2/3 % 4
16 2/3 % 5
16 2/3 % 6
16 2/3 % 5
15 6
13 You roll the die 84 times and come up with the following distribution:
1

18. 12 2
11 3
20 4
13 Part a: What type of test should be used in this situation?
Part b: State the hypothesis.
Part c: What is the test statistic?
Part d: Find the p-value and state your conclusion. 19. The following data are
for intelligence-test (IT) scores, reading rates (RR), and grade-point
averages (GPA) of 8 at-risk students. IT
RR
GPA 184
34
2.4 202

19. 30
1.8 202
42
2.9 167
34
2.3 202
22
1.8 210
45
3.1 199
22

20. 1.7 181
25
2.0 Part a: Calculate the line of best fit that predicts the GPA on the basis of RR
scores.
Part b: Calculate the line of best fit that predicts the GPA on the basis of IT
scores.
Part c: Which of the two lines calculated in parts a and b best fits the data?
Justify your answer.