Chapter 11, Problem 14P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, she results front other research suggest that the antioxidants in foods such as blueberries may reduce and even reverse these age related declines (Joseph et al., 1999). To examine this phenomenon, suppose that a researcher obtains a sample of *n* = 16 adults who are between the ages of 65 and 75. The researcher uses a standardized test to measure cognitive performance for each individual. The participants then begin a 2-month program in which they receive daily doses of a blueberry supplement. At the end of the 2-month period the researcher again measures cognitive performance for each participant. The results show an average increase in performance of *M*_{D}= 7.4 with *SS* = 1215.

a. Does this result support the conclusion that the antioxidant supplement has a significant effect on cognitive performance? Use a two-tailed test with

b. Construct a 95% confidence interval to estimate the average cognitive performance improvement for the population of older adults.

**a**.

To determine

The significance effect of antioxidant supplement on cognitive performance using two tail test.

Explanation

**Given info:**

The average of student

**Calculation:**

Given that

*The null hypothesis:*

*The alternative hypothesis:*

*The sample variance:*

Thus, the sample variance is 81

**b**.

To determine

The confidence interval to estimate the average cognitive at 95%.

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