Q 1. Which market would you choose to introduce the beverage? Why?
|
cans Market 1
|
cans Market 2
|
|
2
|
1
|
|
|
2
|
1
|
|
|
3
|
1
|
|
|
2
|
1
|
|
|
5
|
1
|
|
|
1
|
1
|
|
|
2
|
1
|
|
|
2
|
3
|
|
|
10
|
10
|
|
|
1
|
10
|
|
Consider two markets for a particular product. The subjects were asked how many cans they drink in a day.
Given below the descriptive statistics for these data.
|
cans Market 1
|
|
cans Market 2
|
|
|
|
|
|
|
Mean
|
3
|
Mean
|
3
|
|
Standard Error
|
0.86
|
Standard Error
|
1.18
|
|
Median
|
2
|
Median
|
1
|
|
Mode
|
2
|
Mode
|
1
|
|
Standard Deviation
|
2.71
|
Standard Deviation
|
3.74
|
|
Sample Variance
|
7.33
|
Sample Variance
|
14
|
|
Kurtosis
|
5.62
|
Kurtosis
|
1.13
|
|
Skewness
|
2.31
|
Skewness
|
1.67
|
|
Range
|
9
|
Range
|
9
|
|
Minimum
|
1
|
Minimum
|
1
|
|
Maximum
|
10
|
Maximum
|
10
|
|
Sum
|
30
|
Sum
|
30
|
|
Count
|
10
|
Count
|
10
|
|
Confidence Level(95.0%)
|
1.94
|
Confidence Level(95.0%)
|
2.68
|
Q 2.(A )Construct relative frequencies and weighted averages.
Question 2 (B) What conclusions can you draw about the relationship between the two variables? Support your conclusion with data analysis.
|
Subject
|
purchase likelihood
|
Gender
|
|
1
|
5
|
2
|
|
|
2
|
4
|
2
|
|
|
3
|
4
|
2
|
|
|
4
|
3
|
1
|
|
|
5
|
1
|
1
|
|
|
6
|
5
|
2
|
|
|
7
|
5
|
2
|
|
|
8
|
4
|
1
|
|
|
9
|
1
|
1
|
|
|
10
|
1
|
1
|
|
|
11
|
2
|
1
|
|
|
12
|
5
|
2
|
|
|
13
|
5
|
2
|
|
|
14
|
4
|
1
|
|
|
15
|
3
|
1
|
|
|
16
|
3
|
1
|
|
|
17
|
4
|
2
|
|
|
18
|
5
|
2
|
|
|
19
|
2
|
1
|
|
|
20
|
2
|
1
|
|
|
Sum of Likelihood of purchase
|
Column Labels
|
|
|
|
Row Labels
|
1
|
2
|
Grand Total
|
|
1
|
3
|
|
3
|
|
2
|
6
|
|
6
|
|
3
|
9
|
|
9
|
|
4
|
8
|
12
|
20
|
|
5
|
|
30
|
30
|
|
Grand Total
|
26
|
42
|
68
|
A company is about to introduce a new product in the market. It asked a number of people to indicate the likelihood of purchasing the product.
Code: Likelihood of purchase:
Very likely = 5; Likely= 4; Undecided = 3;
Unlikely = 2; Very unlikely = 1
Gender: Male = 1; Female = 2
Q3 The Soccer Shop was recently opened in Kuwait to provide soccer equipment and supplies to players and teams.During the first month that it was open, the managers kept track of the number of customers who entered the shop each day.
Q 3
|
Subject
|
Customers
|
|
1
|
21
|
|
2
|
19
|
|
3
|
21
|
|
4
|
19
|
|
5
|
19
|
|
6
|
20
|
|
7
|
18
|
|
8
|
12
|
|
9
|
20
|
|
10
|
19
|
|
11
|
17
|
|
12
|
14
|
|
13
|
21
|
|
14
|
22
|
|
15
|
25
|
|
16
|
21
|
|
17
|
22
|
|
18
|
23
|
|
19
|
10
|
|
20
|
19
|
|
21
|
25
|
|
22
|
14
|
|
23
|
17
|
|
24
|
18
|
(a). Given the descriptive statistics for these data, interpret them in the context of the soccer shop.
|
Customers
|
|
|
|
Mean
|
19
|
|
Standard Error
|
0.75
|
|
Median
|
19
|
|
Mode
|
19
|
|
Standard Deviation
|
3.69
|
|
Sample Variance
|
13.65
|
|
Kurtosis
|
0.60
|
|
Skewness
|
-0.71
|
|
Range
|
15
|
|
Minimum
|
10
|
|
Maximum
|
25
|
|
Sum
|
456
|
|
Count
|
24
|
|
Confidence Level(95.0%)
|
1.56
|
Q 3(b). Interpret the histogram and support your conclusions using the descriptive statistics.
Q.4
At almost every university in the U.S.A. and in other countries with similar education system such as Kuwait, the universities compute student GPA using the following scale
A = 4 points, B = 3 points, C = 2 points, D = 1 point, and F = 0 point.
Question 4
(a) Discuss what, if any, problems might exist when GPAs for two students are compared within the same university?
(b) What about comparing GPAs for students from two different universities?
(C) What statistic do you suggest to provide additional information.
Q5 Given the cross tabulation below calculate the relative frequencies
|
Income (000)
|
No college
|
1-2 year college
|
3-4 year
|
5-6 years
|
> 6 years
|
|
|
|
$20 <
|
16
|
33
|
30
|
6
|
4
|
89.00
|
|
|
$20 < $40
|
22
|
28
|
40
|
26
|
5
|
121.00
|
|
|
$40 < $60
|
9
|
12
|
21
|
46
|
9
|
97.00
|
|
|
$60 >
|
3
|
5
|
15
|
13
|
6
|
42.00
|
|
|
Total
|
50
|
78
|
106
|
91
|
24
|
349
|
|
Question 5
Q 5 (a): Determine the % of those with at least 5 years of college than earn at least $40,000
Q 5 (b):Compare the proportion of Q(a) to the proportion for those having fewer than 5 years of college. What conclusion can you draw?
Q 5 (c): Determine the % of those who make at least $60,000 and who have more than 4 years of college
Q 5 (d) Draw an overall conclusion from the data and the calculations performed.