A sample of n=9 individuals is selected from a population with a mean of μ=10. A researcher suspects that after the individuals have gone through a specific type of treatment, their performances on a standardized examination will be different from the general population. After the treatment, the sample has a M=13 and s2=9.
1. Using symbols, state the hypothesis for a two-tailed test.
2. Calculate the t statistic and place this on a standardized normal distribution.
3. With a two-tail α=0.05, state the conclusion of these findings.
4. Calculate the estimated d and state the effect size (i.e., small, medium, large).
Answer:
a] Null Hypothesis H0:
Alternative Hypothesis Ha:
b] Test Statistic t
C] By using the P value table.
Since P value smaller than level of significans therefore significant.
DECISION: Reject Null Hypothesis H0.
CONCLUSION: We have sufficient evidenceto conclude that the population mean is different than 10.
D] EFFECT SIZE = Large
EFFECT SIZE IS LARGE.
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