The data set comes from a research project that tracks

the elderly residents in a community to monitor their cognitive function and general health. Based on the literature, education is considered a protective factor against dementia, and memory decline is usually the first sign of dementia. So the researchers would like to know whether education level (measured in number of years of formal schooling) is correlated with memory function (a standardized memory test score) in their sample of elderly residents.

1. Calculate the mean and standard deviation for the two variables separately

c. Calculate the Z scores for all the scores of the two variables, separately.

d. Calculate Pearson’s correlation coefficient r.

e. Explain the direction and strength of the relationship based on the r.

f. What is the proportion of variance shared between the two variables?

g. If the researcher wants to perform a two-tailed hypothesis test using this data set so that she can generalize the relationship between the two variables from the sample to the population, what would be the null and alternative hypothesis? Write the hypotheses in words and in symbol notation.

h. Using SPSS to analyze the same dataset yields a p value of .25. Based on α = .05, what would be the conclusion of the hypothesis test (use wording of “reject the null hypothesis” or “fail to reject the null hypothesis”? How do you know?

Looking for a Similar Assignment? Order now and Get 10% Discount! Use Coupon Code "Newclient"