Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research suggest that the antioxidant in foods such as blueberries can reduce and even reverse those age-related declines, at least in laboratory rats (Joseph,et al.,1999). Based on these results, one might theorize that the same antioxidants might 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 and gives each participant a daily dose of 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 a σ = 9. Can the researchers conclude that the supplement significantly increases cognitive skills? Use a one-tail (not two-tail) test with α= .05. Please answer the question using all of the steps presented on your practice problem assignment. (null in word, alternative in words, null in symbols, alternative in symbols, critical region z, all steps in the analysis computing your computed z, make a decision, and give a conclusion. Provide steps in an orderly steps by step manner. Problem solving template- n = M = μ = σ = σm = State the hypotheses and select alpha (consider one tailed or two tailed) Sate hypothesis in words: Null stated in words: Alternative stated in words: State hypothesis in symbols: Hₒ: State alternative in symbols: HI: Locate critical region for stated alpha Compute test statistic (z score) Standard error σm: Computed z: Make a decision about the null hypothesis and state a conclusion. Decision: Are you going to reject the null or fail to reject the null Conclusion: ex. The independent variable did or did not have a significant effect Remember: if you reject there was significance
Researchers have noted a decline in cognitive
Can the researchers conclude that the supplement significantly increases cognitive skills? Use a one-tail (not two-tail) test with α= .05.
Please answer the question using all of the steps presented on your practice problem assignment. (null in word, alternative in words, null in symbols, alternative in symbols, critical region z, all steps in the analysis computing your computed z, make a decision, and give a conclusion.
Provide steps in an orderly steps by step manner.
Problem solving template-
n =
M =
μ =
σ =
σm =
- State the hypotheses and select alpha (consider one tailed or two tailed)
Sate hypothesis in words:
Null stated in words:
Alternative stated in words:
State hypothesis in symbols: Hₒ:
State alternative in symbols: HI:
- Locate critical region for stated alpha
- Compute test statistic (z score)
Standard error σm:
Computed z:
- Make a decision about the null hypothesis and state a conclusion.
Decision: Are you going to reject the null or fail to reject the null
Conclusion: ex. The independent variable did or did not have a significant effect
Remember: if you reject there was significance
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