The table below gives results from a study interested in knowing the number of words spoken in a day by young men and young women at college. Use a 0.01 significance level to test the claim that the mean number of words spoken in a day by men are  less than that for women.

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8.-  The table below gives results from a study interested in knowing the number of words spoken in a day by young men and young women at college. Use a 0.01 significance level to test the claim that the mean number of words spoken in a day by men are  less than that for women.  

 

Gender n     Mean   Standard Deviation

Men      n1 = 186        1 = 15,668.5     s1 = 8,632.5

Women n2 = 210        2 = 16,215.0     s2 = 7301.2

 

a) Define the following elements to test the proposed hypotheses.

 

Answer:  Ho:            Ha:              CV = -2.337               RR =                        Test statistics =                       P-value:0.238376

 

Conclusion:    Keep Ho                                           Reject Ho  

 

b) Construct a 98% confidence interval for the difference between the two population means. 

Answer:

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