An industrial psychologist conducted an experiment in which 40 employees that we

Question

An industrial psychologist conducted an experiment in which 40 employees that were identified as "chronically tardy" by their managers were divided into two groups of size 20. Group 1 participated in the new "It's Great to be Awake!" program, while Group 2 had their pay docked. The following data represent the number of minutes that employees in Group 1 were late for work after participating in the program.

Does the probability plot suggest that the sample was obtained from a population that is normally distributed? Provide TWO reasons for your classification.

Probability Plot of Group 1 Normal-95% CI Mean 113.4 StDev 14.05 AD 0.303 P Value 0.541 90 60 10 60 80 100 120 140 160 Group 1

Explanation / Answer

the probability plot and the hypothesis test suggest that the sample was obtained from a population that is normally distributed

Reason1 :

since the the points fall closely along the staright line,the probability plot shows that the data is normally distributed.

Reason2:

Anderson Darling test

Null hypothesis:

H0:Data Follows normla distribution

Alternative Hypothesis:

H1:data do not follow a normal distribution

AD value=0.303

p=0.541

p >0.05

p value greater than level of significance

Accept Null hypotothesis

Data follow normal distribution.

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