10.19. Joe, a new manager suspects that the 23 new employees assigned to his dep

Question

10.19. Joe, a new manager suspects that the 23 new employees assigned to his department have lower levels of social skills than the new employees hired into the all the other departments in the rest of the company. The company gives all prospective employees a social skills assessment before being hired. The mean score obtained by Joe's new employees is 635.13 and the mean score of all 678 new employees recently hired by the company on the same social skills assessment is 430 (fl=430). A t test is used to compare the social skills assessment scores of Joe's new employees to all the new employees in the company. The results of the t test are: Mean score= 635.13 SD= 71.53 t value= 3.75 p=.0001 d. a. Which t test is used and why? Independent b. What are the degrees of freedom (df)? 22 c. What are Joe's conclusions?

Explanation / Answer

An independent one-sample t-test is used to test whether the average of a sample differ significantly from a population mean, a specified value 0.

Given that Mean score= 635.13 SD= 71.53 t value= 3.75 p=.0001

Assume alpha = 5% = 0.05

df = 23-1 = 22

P-value < alpha

Reject H0 at 5% level of significance.

COnclusion : Population mean is differ than 0.

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