# Assignment4 Statistics

**Topics:**Statistics, Statistical hypothesis testing, Normal distribution

**Pages:**2 (570 words)

**Published:**March 10, 2015

MBA 501A – [STATISTICS]

ASSIGNMENT 4

INSTRUCTIONS:You are to work independently on this assignment. The total number of points possible is 50. Please note that point allocation varies per question. Use the Help feature in MINITAB 16 to read descriptions for the data sets so that you can make meaningful comments.

[10 pts]1.Use the data set OPENHOUSE.MTW in the Student14 folder. Perform the Chi Square test for independence to determine whether style of home and location are are related. Use α = 0.05. Explain your results.

Pearson Chi-Square = 37.159, DF = 3, P-Value = 0.000

Likelihood Ratio Chi-Square = 40.039, DF = 3, P-Value = 0.000

The P value associated with out chi square is 0.00 and the Alpha level is 0.05 so we reject the null hypothesis. The P- value is less than the alpha level. So, we conclude that style of homes and locations are not related.

[10 pts]2.Use the data set TEMCO.MTW in the Student14 folder. Perform the Chi Square test for independence to determine whether department and gender are related. Use α = 0.05. Explain your results.

Pearson Chi-Square = 1.005, DF = 3, P-Value = 0.800

Likelihood Ratio Chi-Square = 1.012, DF = 3, P-Value = 0.798

The P-value associated with out chi square is 0.800 and the Alpha level is 0.05 we can see that we are unable to reject the null hypothesis. The P- value is greater than the alpha level. So, we conclude that departments and gender are related..

[30 pts]3.Use the data set COLLMASS.MTW in the Student14 folder.

[10 pts](a) Is student faculty ratio significant in explaining tuition at ? Explain your conclusion. Model Summary

Coefficients

Term Coef SE Coef T-Value P-Value

Constant 27375 2170 12.62 0.000

SFRatio -601 145 -4.14 0.000

S R-sq R-sq(adj) R-sq(pred)

5253.59 22.80% 21.47% 15.87%

Regression Equation

Tuition = 27375 - 601 SFRatio

P-value (0.000) < α (0.05) for the...

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