A researcher begins with a known population-in this case, scores on a standardiz

Question

A researcher begins with a known population-in this case, scores on a standardized test that are normally distributed with µ = 75 and = 15. The researcher suspects that special training in reading skills will produce a change in the scores for the individuals in the population. Because it is not feasible to administer the treatment (the special training) to everyone in the population, a sample of n=25 individuals is selected, and the treatment is given to this sample. Following treatment, the average score for this sample is x =80. Is there evidence that the training has an effect on test scores? (=.05) ( 5 points)

H0: µ = ___________   

Ha: µ ___________   

p-value=____________   

Significance level: _______________   

Accept or Reject the H0:________________   

Explanation / Answer

Ans:

H0: µ =75

Ha: µ 75

Test statistic:

z=(80-75)/(15/sqrt(25))

z =5/3=1.67

p-value(2 tailed)=0.0949

Significance level=0.05  

As,p-value=0.0949>0.05,we fail to reject null hypothesis(or we accept null hypothesis)

Accept the H0.

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