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StatisticsEssentials of Statistics for the Behavioral SciencesResearchers hate noted a decline in cognitive functioning as people age (Bartus, 1990), However, the results from other research suggest that the antioxidants in foods such as blueberries can reduce and even reverse these age-related declines, at least in laboratory rats (Joseph et al., 1999). Based on these results, one might theorize that the same antioxidants might also benefit elderly humans. Suppose a researcher is interested in testing this theory. The researcher obtains a sample of n = 16 adults who are older than 65, and gives each participant a daily dose of a blueberry supplement that is very high in antioxidants. After taking the supplement for 6 months, the participants are given a standardized cognitive skills test and produce a mean score of M = 50.2. For the general population of elderly adults, scores on the test average μ = 45 and form a normal distribution with σ = 9. a. Can the researcher conclude that the supplement has a significant effect on cognitive skill ? Use a two-tailed test with α = .05. b . Compute Cohen's d for this study. c. Write a .sentence demonstrating how the outcome of the hypothesis test and the measure of effect size would appear in a research report.BuyFind*arrow_forward*

8th Edition

Frederick J Gravetter + 1 other

Publisher: Cengage Learning

ISBN: 9781133956570

Chapter 8, Problem 15P

Textbook Problem

Researchers hate noted a decline in cognitive functioning as people age (Bartus, 1990), However, the results from other research suggest that the antioxidants in foods such as blueberries can reduce and even reverse these age-related declines, at least in laboratory rats (Joseph et al., 1999). Based on these results, one might theorize that the same antioxidants might also benefit elderly humans. Suppose a researcher is interested in testing this theory. The researcher obtains a sample of *n* = 16 adults who are older than 65, and gives each participant a daily dose of a blueberry supplement that is very high in antioxidants. After taking the supplement for 6 months, the participants are given a standardized cognitive skills test and produce a mean score of *M* = 50.2. For the general population of elderly adults, scores on the test average

**a.** Can the researcher conclude that the supplement has a significant effect on cognitive skill ? Use a two-tailed test with

**b**. Compute Cohen's *d* for this study.

**c.** Write a .sentence demonstrating how the outcome of the hypothesis test and the measure of effect size would appear in a research report.

Essentials of Statistics for the Behavioral Sciences

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Ch. 8.1 - The city school district is considering increasing...Ch. 8.1 - If the alpha level is increased from = .01 to =...Ch. 8.1 - If a researcher conducted a hypothesis test with...Ch. 8.1 - A researcher selects a sample of n = 16...Ch. 8.1 - A small value (near zero) for the z-score...Ch. 8.1 - A z-score value in the critical region means that...Ch. 8.2 - Define a Type I error.Ch. 8.2 - Define a Type II error.Ch. 8.2 - Under what circumstances is a Type II error likely...Ch. 8.2 - If a sample mean is in the critical region with =...

Ch. 8.2 - If a sample mean is in the critical region with =...Ch. 8.3 - A researcher conducts a hypothesis test with =...Ch. 8.3 - In a research report, the term significant is used...Ch. 8.3 - In a research report, the results of hypothesis...Ch. 8.3 - If other factors are held constant, increasing the...Ch. 8.3 - If other factors are held constant, are you more...Ch. 8.4 - A researcher selects a sample from a population...Ch. 8.4 - If a sample is sufficient to reject the null...Ch. 8.4 - A researcher obtains z = 2.43 for a hypothesis...Ch. 8.5 - Explain how increasing the sample size influences...Ch. 8.5 - A researcher selects a sample from a population...Ch. 8.5 - A researcher selects a sample from a population...Ch. 8.6 - As the power of a test increase, what happens to...Ch. 8.6 - For a 5-point treatment effect, a researcher...Ch. 8.6 - How does sample size influence the power of a...Ch. 8.6 - A researcher administers a treatment to a sample...Ch. 8 - The value of the z-score in a hypothesis test is...Ch. 8 - Define the alpha level and the critical region,...Ch. 8 - Although there is a popular belief that herbal...Ch. 8 - Childhood participation in sports, cultural...Ch. 8 - A local college requires an English composition...Ch. 8 - A random simple is selected from a normal...Ch. 8 - A random sample of n = 25 scores is selected from...Ch. 8 - Brunt, Rhee, and Zhong (2008) surveyed 557...Ch. 8 - A random simple is selected from a normal...Ch. 8 - In a study examining the effect of alcohol on...Ch. 8 - The researchers cited in the previous problem...Ch. 8 - There is some evidence indicating that people with...Ch. 8 - Researchers at a National Weather Center in the...Ch. 8 - Montarello and Martens (2005) found that...Ch. 8 - Researchers hate noted a decline in cognitive...Ch. 8 - A researcher plans to conduct an experiment...Ch. 8 - A sample of n = 40 is selected from a normal...Ch. 8 - Briefly explain how increasing sample size...Ch. 8 - Explain how the power of a hypothesis test is...Ch. 8 - A researcher is investigating the effectiveness of...Ch. 8 - A researcher is evaluating the influence of a...Ch. 8 - Find each of the requested values for a population...Ch. 8 - A survey of high school seniors shows that the...Ch. 8 - Miller (2008) examined the energy drink...

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