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 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

Name: Researchers have noted a decline in cognitive functioning as people ag
Uploaded: 2024-03-20T07:07:00.000Z
Channel: Bartleby
Description: 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 leas

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

See similar textbooks

Related questions

Concept explainers

Topic Video

Question

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 =

σ_{m =}

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 σ_m:

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

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Proportions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.