Assignment 3 | EssayIvy.com

Surname 1

Name

Tutor

Institution

Date

Assignment #3

There are equal number of fenced yard and that not fenced and equal number of garage

and carport parking type in the sample.

Surname 2

Garage parking type was mostly used (83%) with equal acreage of 0.12 (27 percent and 0.13

percent).

Surname 3

12 respondents said no to garage and only 1 respondent said no to carport & garage. 13

respondents said yes to garage. Garage had a higher number of respondents who said yes and

no. it’s a mixed reaction response.

Count of # of

Bedrooms

Column Labels

Row Labels

Yes

Grand Total

Carport

0.00%

100.00%

Carport &

garage

100.00%

0.00%

100.00%

Garage

48.00%

52.00%

100.00%

None

100.00%

0.00%

100.00%

Grand Total

46.67%

53.33%

100.00%

All the respondents who had responded to parking type in reference to the number of bedroom

said yes to carport and no to carport & garage while 52% of the respondent said yes to garage

and 48% said no. as evidenced in the grand totals percentages, there is no relationship between

number of bedroom and parking type since the percentage difference is not large.

Assignment #4

1. From the scatter plot above, there is a weak positive linear relationship

between square footage and acreage.

Surname 4

2. Acreage is not normally distributed as it can be seen from the histogram that the data is skewed

to the right with outliers

Assignment #5

1. Coefficient of correlation is 0.22 implying a weak positive linear relation

between square footage and acreage. The result for this question are consistent

with the decision rule made in assignment #4 question one.

Square footage

Acreage

Mean

1503.37

0.15

Standard Error

65.36

0.01

Median

1380.00

0.13

Mode

1172.00

0.12

Standard Deviation

358.00

0.05

Surname 5

Sample Variance

128161.41

0.00

Kurtosis

0.33

12.74

Skewness

1.09

3.42

Range

1279.00

0.24

Minimum

989.00

0.12

Maximum

2268.00

0.36

Sum

45101.00

4.38

Count

30.00

The average square footage is 1503.37 with 0.15 acreage. The most used measured for

square footage is 1172 with 0.12 average. Skewness for square footage is 0.33 (SD =

358) and kurtosis is 1.09. the skewness and kurtosis range are within the range of -1.96

and +1.96 hence the variable is normally distributed. Acreage is skewed to the right

(skewness = 3.42 SD = 0.05 and Kurtosis = 12.74)

Assignment #6

1. 95% of the sample mean will lie in the range of 1369.69 to 1637.04 of the

sample points.

Sample mean

1,503.367

Sample std dev

357.996

t value

2.05

Lower Bound

1369.690557

Upper bound

1637.042777

2. 53.33% of the response were for the yards fenced as opposed to 43.67%

of the respondents

Assignment #7

t-Test: Two-Sample Assuming Equal Variances

Variable 1

Variable 2

Mean

1743.00

1263.73

Variance

124766.00

17659.50

Observations

15.00

Pooled Variance

71212.75

Hypothesized Mean Difference

0.00

28.00

t Stat

4.92

P(T<=t) one-tail

0.00

t Critical one-tail

1.70

Row Labels

Count of Fenced yard or

not

Yes

Grand Total

Surname 6

P(T<=t) two-tail

0.00

t Critical two-tail

2.05

H0: Mean for variable 1 is not equal to mean for variable 2.

H1: Mean for variable 1 is equal to mean for variable 2.

Using the P value (two tail) we reject null hypothesis and conclude that sample mean for the

two variable are equal. (P value = 0.00 < 0.05)

t-Test: Two-Sample Assuming Equal Variances

Variable 1

Variable 2

Mean

1441.29

1557.69

Variance

76229.91

174968.23

Observations

14.00

16.00

Pooled Variance

129125.44

Hypothesized Mean Difference

0.00

28.00

t Stat

-0.89

P(T<=t) one-tail

0.19

t Critical one-tail

1.70

P(T<=t) two-tail

0.38

t Critical two-tail

2.05

H0: Mean for variable 1 is not equal to mean for variable 2.

H1: Mean for variable 1 is equal to mean for variable 2.

Using the P value (two tail) we do not reject null hypothesis and conclude

that sample mean for the two variable are not equal. (P value = 0.38 >

0.05)

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