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MATH 1P98 - Assignment #3
Due: Wednesday, June 22, 2016 @ 19:00 Assignments must have a cover page (refer to the course outline). Please write on one side of
the page only and show ALL your work. Answer questions with sentences. Include any printout
for a question with the question and clearly label the printout with the question number and
part. Keep three decimal places.
1) AT&T would like to test the hypothesis that the average revenue per retail user for
Verizon Wireless customers equals $50. A random sample of 32 Verizon Wireless
customers provided an average revenue of $54.70. It is believed that the population
standard deviation for the revenue per retail user is $11.00. AT&T would like to set α =
0.05. Use the critical value approach to test this hypothesis.
2) Hallmark would like to test the hypothesis that those celebrating Valentine's Day will
spend more than an average of $125 on gifts. A random sample of 18 people celebrating
Valentine's Day spent an average of $148.50 with a standard deviation of $34.90.
Hallmark would like to set α = 0.01. Use the p-value approach to test this hypothesis.
3) Hotels.com would like to test the hypothesis that the proportion of American
travelers in Europe that prefer an American-branded hotel equals 0.42. A random
sample of 90 Americans found that 49 preferred American-branded hotels. Hotels.com
would like to set α = 0.05. Use the critical value approach to test this hypothesis.
4) A professor would like to test the hypothesis that the average grade for a student
taking a 10 AM statistics class averages five points higher than the average grade from
a student in an 8 AM statistics class. The following data shows the sample size and
average grades for students in the two class times along with the population standard
deviations.
Sample mean
Sample size
Population standard
deviation 10 AM
87.1
32 8 AM
81.4
30 3.4 3.2 Define Population 1 is defined as the 10 AM class and Population 2 the 8 AM class.
Construct an 80% confidence interval for the difference in population mean and
interpret the results.
5) Traveler's Insurance would like to test the hypothesis that the average number of
miles driven per month by a male teenage driver exceeds the average number of miles
driven per month by a female teenage driver by more than 50 miles. The following data
summarizes the sample statistics for the miles driven per month by each gender.
Assume that the population variances are equal.
Male Female
Page 1 of 3 Sample mean
Sample size
Sample standard
deviation 685
13 580
16 130 120 Define Population 1 as male drivers and Population 2 as female drivers and use the
critical value approach to test this hypothesis with α = 0.05.
6) American Greetings would like to test the hypothesis that the average amount of
money spent per person on Mother's Day increased by more than $10 this year when
compared to last year. The following data represents the amount of money that the
same eight individuals spent on Mother's Day during the past two holidays.
Person 1
Last
Year
$140
This
Year
$133 2 3 4 5 $113 $86 $147 $110 $156 $170 6 7 8 $140 $162 $150 $142 $160 $166 $183 $154 Define Population 1 as this year and Population 2 as last year and use the p-value
approach to test this hypothesis with α = 0.05.
7) John is the manager at the Deerfield Golf Course and would like to test the
hypothesis that the average golf score at his course is different from the average golf
score at the Pike Creek Golf Course, which is a competitor in the area. The following
data represents the golf scores for seven golfers who recently played at both courses.
Golfer
1
Deerfield 85
Pike
Creek
88 2
93 3
96 4
83 5
78 6
80 7
80 91 99 94 82 85 91 Define Population 1 as the Deerfield course and Population 2 as the Pike Creek course.
Construct a 95% confidence interval for the difference in population mean and interpret
the results.
8) The Marseille Water Taxi ferries tourists from the harbor at Marseille, France, to the
Frioul Islands in the Mediterranean Sea. The table below shows the number of
passengers on the noontime ferry over seven randomly selected days along with the
current ambient temperature in degrees Celsius.
Temperatur
e
Passengers
16
15
19
20
22
20
26
22
18
10
Page 2 of 3 24 18 Use the Marseille Water Taxi data to:
A)
Describe the regression line that will predict the number of passengers on the
noontime ferry based on the ambient temperature.
B)Interpret the slope of the regression equation.
C)Predict number of passengers on the noontime ferry on a day that the ambient
temperature is 19 degrees Celsius.
9) The table below shows the number of interceptions thrown during the season by
seven randomly selected National Football League teams and the number of games
those teams won during the season.
Wins
3
6
11
14
10
8
8 Interceptio
ns
28
19
16
6
9
25
11 Use the NFL team data to calculate:
A)The standard error of the estimate.
B)The 95% confidence interval for the average number of wins for a team that throws
14 interceptions during the season.
10) A manufacturer of flash drives for data storage operates a production facility that
runs on three 8-hour shifts per day. The following contingency table shows the number
of flash drives that were defective and not defective from each shift.
Shift
7AM-3PM
3PM-11PM
11PM-7AM Defective
7
10
4 Not Defective
113
90
76 Perform a hypothesis test to determine if the quality of the flash drive production and
the production shift are independent variables using α = 0.05. Page 3 of 3

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