This document contains information about downloading a tutorial on diversity between Hispanics in America from a provided link. It also contains sample data and questions about statistics, probabilities, hypothesis testing, and regression analysis related to business scenarios around customers, fire department response times, battery life, radio listenership, mail delivery, employee benefits, and airline staffing.

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In this file of RES 110 Entire Course you will find the next
docs: RES 110 Diversity between Hispanics in America
Final.doc
RES 110 Diversity between Hispanics in America Outline.doc
RES 110 Primary vs. Secondary Research.doc
RES 110 Reseach Proposal on Hispanic Diversity.doc
RES 110 Research Paper Timeline Guide.doc
RES 110 University Library CWE questions.doc
Mathematics - Statistics
1. Consider the following age data, which is the result of
selecting a random sample of 20 United Airlines pilots.
47 45 45 52 58 55 58 44 42 38
45 52 48 47 51 45 52 42 37 40
a. Compute the mean, median, mode, and standard
deviation, Q1, Q3, Min, Max for the above sample data on
age of pilots.
b. In the context of this situation, interpret the Median, Q1,
and Q3.
2. Consider the following data on customers at an office
supply store. These customers are categorized by their
previous volume purchases and their age.
20's
30's
40's

2. 50 or older
Total
New Customer
513
285
1,228
100
2,126
Low Volume
417
139
2,578
215
3,349
Mid Volume
250
451
7,859
801
9,361
High Volume
100
615
6,525
994
8,234
Total
1,280
1,490
18,190
2,110

3. 23,070
If you choose one customer at random, then find the
probability that the customer
a. is a new customer.
b. is a high volume customer and is in the 40's.
c. is in the 20's, given that the customer is low volume.
3. A source in the Internal Revenue Service has stated that
historically 90% of federal tax returns filed are free of
arithmetic errors. A random sample of 25 returns are
selected and checked carefully for arithmetic errors.
Assuming independence, find the probability that
a. all 25 returns are free of arithmetic errors.
b. at most 23 returns are free of arithmetic errors.
c. more than 17 are free of arithmetic errors. (Points : 18)
4. The Federal Government is stepping up efforts to reduce
average response times of fire departments to fire calls. The
distribution of mean response times to fire calls follows a
normal distribution with a mean of 12.8 minutes and a
standard deviation of 3.7 minutes.
a. Find the probability that a randomly selected response
time is less than 15 minutes.
b. Find the probability that a randomly selected response
time is between 13 minutes and 15 minutes.
c. The fastest 20% of fire departments will be singled out for
a special safety award. How fast must a fire department be in
order to qualify for the special safety award?
5. A new brand of laptop battery is produced by ZELCO. The

4. company claims that the battery will last for an extended
period of time before a recharge is necessary. A sample of 40
batteries is tested for the length of usage time to recharge.
The sample results are as follows:
Sample
Sample hrs.
Sample Standard hrs.
a. Construct a 99% confidence interval for the average length
of usage time to recharge.
b. Interpret this interval.
c. How large a sample size will need to be selected if we wish
to have a 99% confidence interval with a margin for error of
.25 hours? (Points : 18)
6. You are in charge of selling advertising for radio station
WQAA. The fee you can set for airtime is directly related to
the share of the listening market your station reaches. From
time to time you conduct surveys to determine WQAA’s
share of the market. This month, when you contacted 200
randomly selected residents, 12 respondents said they listen
to WQAA.
a. Compute the 99% confidence interval for the percent of
the market that are listeners of WQAA.
b. Interpret this confidence interval.
c. How many individuals should be sampled in order to be
99% confident of being within 1% of the actual population
percent of the market that are WQAA listeners? (Points : 18)
7. An auditor for the U.S. Postal Service wants to examine its
special two-day priority mail handling to determine the
proportion of parcels that actually arrive within the promised
two-day period. A randomly selected sample of 1600 such

5. parcels is found to contain 1250 that were delivered on time.
Does the sample data provide evidence to conclude that the
percentage of on-time parcels is more than 75% (using a =
.01)? Use the hypothesis testing procedure outlined below.
a. Formulate the null and alternative hypotheses.
b. State the level of significance.
c. Find the critical value (or values), and clearly show the
rejection and nonrejection regions.
d. Compute the test statistic.
e. Decide whether you can reject Ho and accept Ha or not.
f. Explain and interpret your conclusion in part e. What does
this mean?
g. Find the observed p-value for the hypothesis test and
interpret this value. What does this mean?
h. Does this sample data provide evidence (with a = .01), that
the percentage of on-time parcels is more than 75%? (Points
: 24)
8. The ACTION Paper Company employs a human resources
manager who is given responsibility for employee benefits.
There is a question about the mean annual dental expense
per employee. The manager selects a random sample of 49
employee records for the past year and finds the following.
Sample Size: 49
Sample mean: $486
Sample standard deviation: $84
Does the sample data provide evidence to conclude that the
mean annual dental expense per employee is less than $500
(using a = .10)? Use the hypothesis testing procedure

6. outlined below.
a. Formulate the null and alternative hypotheses.
b. State the level of significance.
c. Find the critical value (or values), and clearly show the
rejection and nonrejection regions.
d. Compute the test statistic.
e. Decide whether you can reject Ho and accept Ha or not.
f. Explain and interpret your conclusion in part e. What does
this mean?
g. Determine the observed p-value for the hypothesis test
and interpret this value. What does this mean?
h. Does this sample data provide evidence (with a = 0.10),
that the mean annual dental expense per employee is less
than $500?
9. An airline plans to initiate service at an airport in a city of
approximately 500,000 people. To determine staffing
requirements, officials for the airline take advantage of the
sample survey data on the relationship between the number
of flights per week and the number of employees for 30
airlines at various airports in cities that are similar in size
(approximately 300,000 to 700,000). The data is found
below.
FLIGHTS
EMP.
PREDICT
104
88
50
89

7. 71
150
94
85
63
40
49
24
48
22
42
23
50
24
21
6
70
45
75
54
80
70
85
72
40
18
35
12
30
10
25

8. 8
28
7
35
12
42
18
56
32
65
42
72
50
81
60
91
68
98
79
104
80
81
58
77
58
72
52
Regression Analysis: EMP. versus FLIGHTS

9. The regression equation is
23.3 + 1.04 FLIGHTS
Predictor Coef SE Coef ...
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