STATISTICAL ANALYSIS

Statistical Analysis

Statistical Analysis

Question 1

(a) 95% CI for the proportion that would vote for Obama

One - Sample Statistics

N

Mean

Std. Deviation

Std. Error Mean

X

15

56.6667

4.95215

1.27864

One - Sample Test

Test Value = 0

t

df

Sig. (2 - tailed)

Mean Difference

95% Confidence Interval of the Difference

Lower

Upper

X

44.318

14

.000

56.66667

53.9243

59.4091

It is noted that for 95% CI for the proportion that would vote for Obama, the significance value is under 0.05. This reflects that people vote for Obama, as the mean value of 57 lie under the confidence interval of 53.9 to 59.4.

(b) Test the claim that the proportion that supports Obama is less than 50

One - Sample Test

Test Value = 50

t

df

Sig. (2 - tailed)

Mean Difference

95% Confidence Interval of the Difference

Lower

Upper

X

5.214

14

.000

6.66667

3.9243

9.4091

In view of given test, it is noted that the level of significance is under 0.05 indicating that for the test value of 50, it can be said that the people supports Obama is less than 50.

Question 2

95% confidence interval for the standard deviation of sales

One - Sample Statistics

N

Mean

Std. Deviation

Std. Error Mean

standard deviation of sales

17

43.6713

19.67466

4.77181

One - Sample Test

Test Value = 0

t

df

Sig. (2 - tailed)

Mean Difference

95% Confidence Interval of the Difference

Lower

Upper

standard deviation of sales

9.152

16

.000

43.67130

33.5555

53.7871

From the above one sample test, it is found that for 95% confidence interval for the standard deviation of sales, the level of significance is below 0.05, which presents that the mean sales value is 44 lie under the confidence interval of 33 to 54.

Variance of sales is different to 10

One - Sample Statistics

N

Mean

Std. Deviation

Std. Error Mean

variance of sales

17

2.2715E3

1719.28854

416.98872

One - Sample Test

Test Value = 10

t

df

Sig. (2 - tailed)

Mean Difference

95% Confidence Interval of the Difference

Lower

Upper

variance of sales

5.423

16

.000

2261.50490

1377.5283

3145.4815

In relation to given test, it is noted that the level of significance is under 0.05 reflecting that for the test value of 10, it can be said that the variance of sales is different to 50.

Question 3

• Total number of sample = 15 * 100 = 1500

• If the true proportion of people that buy the WiiU 70%, then,

Mean

=

36.33

Variance

=

60.85

•

Total number of WiiU

=

1083

=

0.722

or

72.20%

Total

1500

•

Total number of WiiU males

=

630

=

0.42

or

42.00%

Total

1500

•

Total number of person Buys the WiiU

=

1084

=

1.2

Total males

878

Question 4

Gender

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

male

4

23.5

57.1

57.1

female

3

17.6

42.9

100.0

Total

7

41.2

100.0

Missing

System

10

58.8

Total

17

100.0

Department

Frequency

Percent

Valid Percent

Cumulative Percent

Valid

HR

4

23.5

57.1

57.1

IT

3

17.6

42.9

100.0

Total

7

41.2

100.0

Missing

System

10

58.8

Total

17

100.0

95% Confidence for the Mean of Males

One - Sample Statistics

N

Mean

Std. Deviation

Std. Error Mean

VAR00005

4

68000

16299.28424

8149.64212

One - Sample Test

Test Value = 0

t

df

Sig. (2 - tailed)

Mean Difference

95% Confidence Interval of the Difference

Lower

Upper

VAR00005

8.405

3

.004

68500.00000

42564.2015

94435.7985

In addition to this, the one sample test shows that for 95% CI for the mean of males, the significance level is less than 0.05 that is 0.004, ...