23. To test the effectiveness of a new memory pill that prevents memory loss on adults,
a sample of 35 individuals is selected at random from a normal population of adults
known to remember about µ = 14 words with a standard deviation of ? = 4. After the
treatment is administered, the sample of 35 individuals remember and average of 18
words.
a. Using the appropriate notation, define the populations.
b. State the null and research hypotheses.
c. Calculate the standard error of the mean.
d. Calculate the z-score for the sample’s score.
e. Using a p-value of .05, determine whether this memory pill really works.
f. Using a p-value of .01, determine whether this memory pill really works.
g. Were the results statistically significant? Or statistically nonsignificant?
25. Differentiate between Type I and Type II errors. How does each affect the other?
26. How do we increase the probability of making a Type I error?
27. How do we increase the probability of making a Type II error?