Set up null and alternative hypotheses to test whether the population mean differs from 0.

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

1. Based on the following output, answer questions a) and b):

N Mean Std. Dev Std. Error 

996 -0.052 1.253 0.0397

a) Set up null and alternative hypotheses to test whether the population mean differs from 0.

b) Find the test statistics and P-value. Interpret.

 

 

2. Based on the following output, answer questions a), b)

The test of independence between two ordinal variables is done by a Chi-Square and Gamma test in the following table.

Statistic DF Value Prob.

Chi-square 6 8.871 0.181

Statistic Value Std. error

Gamma 0.163 0.080

 

a) Use the listed chi-squared test to report the independence between variables. 

b) The Gamma test of independence takes category ordering into account. Interpret results and compare to results of the chi-square test.

 

3. For a random sample of U.S. counties, data are obtained on X = percentage of the population aged over 50 and Y = per student expenditure on education. The following table is part of the computer output for the analysis.

Source DF Sum of squares Mean square F-ratio R-squire

Regression  1 ______ _________ ______ _______

Residual ___ 400000 _________

Total 49 500000

Variable Parameter estimate Std. Error t value Prob.

Intercept 1300.0 6.334 205.2 .0000

Age -5.0 1.443 ______ ______

Answer following questions:

a) What was the sample size for this study?

b) Fill in the blanks in the table.

c) Interpret intercept and slope in the table.  

 

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