# Evaluate the effect of a treatment in population with a mean

To evaluate the effect of a treatment , a sample of n=9 is obtained from a population with a mean of m=40 and the treatment is administered to the individuals is found to be M-33

A: If a sample has a standard deviation of s=9, are the data sufficient to conclude that the treatment has a significant effect using a two tailed test with a level of significants of 0.5?

B: If the sample standard deviation is s=15,are the data sufficient effect to conclude that the treatment has a significant effect using a two tailed effect with a level of significants of =0.5

C: Comparing your answers for parts a and b,how does the variability of the score in the sample influence the out come of the test hypothesis

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#### Solution Preview

So our formula to test for significance is: our score-sample mean / standard error

a)

Null hypothesis: The treatment is = 33

Alternative hypothesis: The treatment is different then 33

to test:

Standard error = standard deviation / square root of sample size

= 9/3 = 3

z = 33-40/3 = -7/3 = ...

#### Solution Summary

The expert evaluates the effect of a treatment in population with a mean is examined.