Web page 1
Query
1. 1.(TCO A)Take into account the next age information, which is the
results of deciding on a random pattern of 22 Boeing 747 airplanes which can be
owned by United Airways. The age of every airplane is given in years.
17
5
5
12
eight
5
eight
16
14 12
22
15
5
eight
17
5
four
2
22
17 20
23
a. Compute the imply, median, mode, and customary
deviation, Q1, Q3, Min, and Max for the above
pattern information on age of Boeing 747 airplanes owned by United Airways.
b. Within the context of this example, interpret the Median, Q1,
and Q3. (Factors : 33)
Query 2. 2.(TCO B)
Take into account the next information on new prospects for AJ Auto Insurance coverage,
particularly the data of the danger stage of the shopper and the
variety of tickets they’ve had within the final yr.
Zero
1
2 or extra
Complete
Low
Threat
56
22
eight
86
Medium
Threat
18
40
12
70
Excessive
Threat
11
13
20
44
Complete
85
75
40
200
In case you select a buyer at random, then discover the chance that the
buyer is
a. low threat.
b. low threat and had two or extra tickets within the final yr.
c. medium threat, on condition that the shopper had zero tickets within the final yr.
(Factors : 18)
Query Three. Three.(TCO B)
In line with a survey by the Opinion Analysis Company, 60% of all
clerical staff in america âappreciated their jobs very a lot.â A
random pattern of 15 clerical staff is chosen. Discover the chance that
a. precisely 9 of those clerical staff âappreciated their jobs very a lot.â
b. not less than seven of those clerical staff âappreciated their jobs very a lot.â
c. fewer than 5 of those clerical staff âappreciated their jobs very a lot.â
(Factors : 18)
Query four. four.(TCO B) A
research of house owners within the fifth congressional district in Maryland discovered
that their annual family incomes are usually distributed with a imply of
$41,182 and a regular deviation of $11,990 (based mostly on information from Nielsen
Media Analysis).
a. What proportion of family incomes are higher than $30,000?
b. What proportion of family incomes are between $25,000 and $40,000?
c. If an promoting marketing campaign is to be focused at these whose family
incomes are within the prime 20%, discover the minimal revenue stage for this goal
group? (Factors : 18)
Query 5. 5.(TCO C)
The Ford Motor Firm needs to estimate the imply greenback quantity of injury
completed to a Ford Explorer on account of a 10 mph crash into the rear bumper
of a parked automotive. The pattern outcomes are as follows.
Pattern Dimension = 36
Pattern Imply = $638
Pattern Customary Deviation = $115
a. Assemble a 95% confidence interval for the typical greenback quantity of
harm.
b. Interpret this interval.
c. How giant a pattern measurement will must be chosen if we want to have a
95% confidence interval for the typical greenback quantity of injury with a
margin for error of $10? (Factors : 18)
Web page 2
Query 6. 6.(TCO C) A
clock firm is anxious about errors in meeting of their customized made
clocks. A random pattern of 120 clocks from todayâs manufacturing yields 9
clocks with meeting errors.
a. Compute the 95% confidence interval for the proportion of clocks with
meeting errors in todayâs manufacturing.
b. Interpret this confidence interval.
c. What number of clocks must be chosen to be able to be 95% assured of being
inside 2% of the inhabitants proportion of clocks with meeting errors in
todayâs manufacturing? (Factors : 18)
Query 7. 7.(TCO D)
In line with Info Assets Inc., based mostly on gross sales of teeth-cleaning
merchandise, Crest toothpaste managed a 31.2% share of the market. A
researcher from a rival firm believes that this determine is excessive, and that
in reality, Crest controls lower than 31.2% of the market. A easy random
pattern of 400 customers yields 116 use Crest. Does the pattern information present
proof to conclude that the researcher from the rival firm is right
(witha = .05)? Use the speculation
testing process outlined under.
a. Formulate the null and various hypotheses.
b. State the extent of significance.
c. Discover the vital worth (or values), and clearly present the rejection and
nonrejection areas.
d. Compute the check statistic.
e. Resolve whether or not you’ll be able to reject Ho and settle for Ha or not.
f. Clarify and interpret your conclusion partially e. What does this
imply?
g. Decide the noticed p-value for the speculation check and interpret
this worth. What does this imply?
h. Does the pattern information present proof to conclude that Crestâs market
share is under 31.2% (witha
= .05)? (Factors : 24)
Query eight. eight.(TCO D) A
new automotive vendor calculates that the dealership should common greater than four.5%
revenue on gross sales of recent automobiles. A random pattern of 81 automobiles provides the next
end result.
Pattern Dimension = 81
Pattern Imply = four.97%
Pattern Customary Deviation = 1.eight%
Does the pattern information present proof to conclude that the dealership
averages greater than four.5% revenue on gross sales of recent automobiles (usinga = .10)? Use the speculation testing
process outlined under.
a. Formulate the null and various hypotheses.
b. State the extent of significance.
c. Discover the vital worth (or values), and clearly present the rejection and
nonrejection areas.
d. Compute the check statistic.
e. Resolve whether or not you’ll be able to reject Ho and settle for Ha or not.
f. Clarify and interpret your conclusion partially e. What does this imply?
g. Decide the noticed p-value for the speculation check and interpret
this worth. What does this imply?
h. Does the pattern information present proof to conclude that the dealership
averages greater than four.5% revenue on gross sales of recent automobiles (usinga = .10)? (Factors : 24)
Web page 2
Query 1. 1.(TCO E)
McCave Growth Enterprises is contemplating whether or not to construct a
shopping center in Statesville. The supervisor needs you to research the
relationship between mall measurement and the speed of return on invested capital.
You choose a random pattern of 16 cities just like Statesville in
demographic and financial traits and acquire the next information on FOOTAGE
(in 10,000 sq. toes) and RETURN (charge of return as a %).
RETURN
FOOTAGE
PREDICT
18.Three
12.eight
15.Zero
11.7
18.6
7.5
19.5
10.Three
17.5
14.Three
15.four
14.2
9.eight
21.four
11.four
18.6
14.5
16.7
16.Three
15.5
19.Zero
9.eight
17.Zero
14.2
15.1
16.2
19.5
12.eight
10.9
19.four
16.Three
15.Zero
16.Three
15.four
Regression
Evaluation: RETURN versus FOOTAGE
The
regression equation is
RETURN
= 30.Zero – Zero.943 FOOTAGE
Predictor
Coef SE Coef
T P
Fixed
29.976 1.238 24.22 Zero.000
FOOTAGE
-Zero.94257 Zero.07921 -11.90 Zero.000
S
= Zero.969721 R-Sq = 91.Zero% R-Sq(adj) = 90.four%
Evaluation
of Variance
Supply
DF SS
MS F P
Regression
1 133.15 133.15 141.59 Zero.000
Residual
Error 14 13.17 Zero.94
Complete
15 146.31
Predicted
Values for New Observations
New
Obs Match SE
Match 95%
CI 95% PI
1 15.838 Zero.244 (15.315, 16.360) (13.693,
17.982)
2 22.907 Zero.666 (21.479, 24.334) (20.384,
25.429)X
X
denotes a degree that’s an outlier within the predictors.
Values
of Predictors for New Observations
New
Obs FOOTAGE
1 15.Zero
2 7.5
Correlations:
RETURN, FOOTAGE
Pearson
correlation of RETURN and FOOTAGE = -Zero.954
P-Worth
= Zero.000
a. Analyze the above output to find out the regression equation.
b. Discover and interpretin the context of this downside.
c. Discover and interpret the coefficient of dedication (r-squared).
d. Discover and interpret coefficient of correlation.
e. Does the information present important proof (a= .05) that Footage can be utilized to foretell Return? Take a look at
the utility of this mannequin utilizing a two-tailed check. Discover the noticed
p-value and interpret.
f. Discover the 95% confidence interval for the imply charge of return on
capital funding for malls which have sq. footage of 150,000. Interpret
this interval.
g. Discover the 95% prediction interval for the speed of return on capital
funding for a mall that has sq. footage of 150,000. Interpret this
interval.
h. What can we are saying concerning the charge of return on capital funding for a
mall that has sq. footage of 75,000?
(Factors : 48)
Query 1. 1.(TCO E) The
supervisor of a retail outlet suspects that gross sales of air conditioners are
related to the value of the air conditioners, in addition to the imply
temperature. Twelve weeks are chosen at random. The outcomes are discovered within the
MINITAB printout under.
SALES
TEMP
PRICE
P-TEMP
P-PRICE
Three
72
200
75
190
four
77
200
7
82
150
1
43
200
Zero
31
200
Zero
28
200
eight
81
140
5
83
200
5
76
200
four
60
185
four
50
190
5
55
190
Correlations:
SALES, TEMP, PRICE
SALES TEMP
TEMP
Zero.849
Zero.000
PRICE
-Zero.736 -Zero.435
Zero.006 Zero.158
Cell Contents:
Pearson correlation
P-Worth
Normal
Regression Evaluation: SALES versus TEMP, PRICE
Regression Equation
SALES = 9.02846 +
Zero.0822089 TEMP – Zero.0545506 PRICE
Coefficients
Time period Coef
SE
Coef T
P 95% CI
Fixed 9.02846 Three.37308 2.67662 Zero.025
( 1.39801, 16.6589)
TEMP Zero.08221
Zero.01569 5.24111 Zero.001 ( Zero.04673, Zero.1177)
PRICE -Zero.05455 Zero.01505
-Three.62424 Zero.006 (-Zero.08860, -Zero.0205)
Abstract of Mannequin
S =
Zero.936302 R-Sq =
88.67% R-Sq(adj) = 86.16%
PRESS =
11.4214 R-Sq(pred) = 83.61%
Evaluation of Variance
Supply DF Seq
SS Adj SS Adj
MS F P
Regression
2 61.7767 61.7767 30.8884 35.2341 Zero.0000554
TEMP 1
50.2617 24.0812 24.0812 27.4692 Zero.0005340
PRICE
1 11.5151 11.5151 11.5151 13.1351 Zero.0055351
Error 9 7.8900 7.8900 Zero.8767
Complete 11
69.6667
Suits and Diagnostics
for Uncommon Observations
Obs SALES Match SE
Match Residual St Resid
12 5
Three.18533 Zero.285747 1.81467 2.03522 R
R denotes an
statement with a big standardized residual.
Predicted Values for
New Observations
New
Obs Match SE
Match 95%
CI 95%
PI
1 four.82951 Zero.353065 (four.03082, 5.62819)
(2.56586, 7.09315)
Values of Predictors
for New Observations
New
Obs TEMP PRICE
1 75 190
a. Analyze the above output to find out the a number of regression equation.
b. Discover and interpret the a number of index of dedication (R-Sq).
c. Carry out the t-tests on,(use two tailed check with (a= .05). Interpret your outcomes.
d. Predict the gross sales for a person week a imply temperature of 75 and a
value of $190. Use each a degree estimate and the suitable interval estimate.
(Factors : 31)
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