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A sample of students is selected from a population with µ = 50. After a treatment...

A sample of students is selected from a population with µ = 50. After a treatment is administered to the individuals in the sample, the mean is found to be M = 55 and the variance is s2 = 64.

If the sample has n = 16 scores, then conduct a hypothesis test to evaluate the significance of the treatment effect.

Use a two-tailed test with α = .05.

What are the Hypotheses?

What is the df?

What is the tcrit value?

What is the est. standard error or est. s.e. value?

What is the tobt value?

What is the correct decision for this study?

Calculate Cohen’s d to measure the size of the treatment effect

Math   Statistics-And-Probability   
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Answer #1

The null and alternative hypothesis is ,

The test is two-tailed test.

df=degrees of freedom=n-1=16-1=15

The critical value is ,

; From t-table

The estimated standard error is ,

The observed t-value is ,

Decision : Here , the observed t-value is lies in the rejection region.

Therefore , reject Ho.

Conclusion : Hence , there is significance of the treatment effect.

The Cohen's d to measure the size of the treatment effect is ,

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