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# Stat 217 Essay

2683 words - 11 pages

Problem-2:
Skewness | .592 |
Statistics |
Selling Price in \$000 |
N | Valid | 81 |
| Missing | 0 |
Std. Error of Skewness | .267 |
a.

Interpretation: The coefficient of skewness is greater than zero (.529>0). So, the distribution of selling price is positively skewed.
b.
Case Processing Summary |
| Cases |
| Valid | Missing | Total |
| N | Percent | N | Percent | N | Percent |
Selling Price in \$000 | 81 | 100.0% | 0 | .0% | 81 | 100.0% |

Interpretation: There is no outlier.
Problem-3:
a.
One-Sample Test |
| Test Value = 0 |
| t | df | Sig. (2-tailed) | Mean Difference | 95% Confidence Interval of the Difference |
| ...view middle of the document...

(2-tailed) | Mean Difference | 99% Confidence Interval of the Difference |
| | | | | Lower | Upper |
Selling Price in \$000 | 4.162 | 80 | .000 | 21.4889 | 7.865 | 35.113 |

Here, P-value = 0.000

Decision:Since, P-value = 0.000 < 0.01 so, we can reject Ho
Comment: The mean selling price of the homes is more than \$200.
b.
Step-1:Null Hypothesis, Ho: µ ≤ 2200
Alternative Hypothesis, H1 : µ >2200
Step-2: Level of significance, α =0.01
Step-3: T- test statistics will be used
Step-4: P< α, we may reject Ho
P> α, we may not reject Ho
One-Sample Test |
| Test Value = 2200 |
| t | df | Sig. (2-tailed) | Mean Difference | 99% Confidence Interval of the Difference |
| | | | | Lower | Upper |
Size of the home in square feet | .861 | 80 | .392 | 23.457 | -48.40 | 95.31 |
Step-5:

Here, P-value = 0.000

Decision:Since, P-value = 0.392 > 0.01 so, we cannot reject Ho
Comment: The mean selling price of the homes is not more than 2200 square feet.

Problem-5:
a.
Step-1:Null Hypothesis, Ho: µ1=µ2
Alternative Hypothesis, H1 : µ1≠µ2
Here, µ1= mean selling price of home with pool
µ2 = mean selling price of home without pool
Step-2: Level of significance, α =0.05
Step-3: T- test statistics will be used
Step-4: P< α, we may reject Ho
P> α, we may not reject Ho

Step-5:
Independent Samples Test |
| | Levene's Test for Equality of Variances | t-test for Equality of Means |
| | | | 95% Confidence Interval of the Difference |
| | F | Sig. | t | df | Sig. (2-tailed) | Mean Difference | Std. Error Difference | Lower | Upper |
Selling Price in \$000 | Equal variances assumed | 9.624 | .003 | 3.478 | 79 | .001 | 34.6239 | 9.9550 | 14.8089 | 54.4388 |
| Equal variances not assumed | | | 3.898 | 78.901 | .000 | 34.6239 | 8.8823 | 16.9438 | 52.3039 |

From the above table, we have two P- values. To choose the appropriate P-value for the mean test, we have to following variance test

Step-1:Null Hypothesis, Ho: σ12=σ22, equal variance assumed
Alternative Hypothesis, H1 : σ12≠σ22,not equal variance assumed
Step-2: Level of significance, α =0.05
Step-3: F- test statistics will be used
Step-4: P< α, we may reject Ho
P> α, we may not reject Ho
Here P-value for variance test is 0.003< 0.05 so we may reject Ho& unequal variance is assumed.
Decision:So, assumed unequal variance, P-value for mean test is 0.000< 0.05 & we may reject Ho
Comment: There is a difference in the mean selling price of home with a pool & without
A pool.

b.
Step-1:Null Hypothesis, Ho: µ1=µ2
Alternative Hypothesis, H1 : µ1≠µ2
Here, µ1= mean selling price of homes in Township 1
µ2 = mean selling price of homes Township 2...

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