Researchers were interested in the effect of sleep on memory consolidation. Twenty-four participants were randomly assigned to either a “Sleep” or “No-Sleep” group, such that there were 12 participants in each group. On the first day, all participants were flashed pictures of 15 different objects on a computer screen and asked to remember as many objects as possible. That night, the “Sleep” group got an ordinary night’s sleep. The “No-Sleep” group was kept awake until the second night. All participants got an ordinary night’s sleep on the second and third nights. On the fourth day, all participants were tested to see how many of the original 15 objects they remembered. The data is below: Conduct an independent samples t-test, two-tailed, alpha = .05. Sleep NoSleep 14 8 13 9 8 6 9 13 11 7 10 9 9 10 13 12 12 8 11 11 14 9 13 12   Write the null hypothesis in symbols and word and write the alternative hypothesis in symbols and words By hand, calculate the degrees of freedom. Show calculation. Then use software to obtain the test statistic and p-value. Make a decision about the null using the p-value approach Write the conclusion in APA style. Compute and report the 95% CI. Interpret the 95% CI. Using the CI, make a decision about the null hypothesis. Be sure to explain your reasoning. Does this agree with your decision from part 2?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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  1. Researchers were interested in the effect of sleep on memory consolidation. Twenty-four participants were randomly assigned to either a “Sleep” or “No-Sleep” group, such that there were 12 participants in each group. On the first day, all participants were flashed pictures of 15 different objects on a computer screen and asked to remember as many objects as possible. That night, the “Sleep” group got an ordinary night’s sleep. The “No-Sleep” group was kept awake until the second night. All participants got an ordinary night’s sleep on the second and third nights. On the fourth day, all participants were tested to see how many of the original 15 objects they remembered. The data is below: Conduct an independent samples t-test, two-tailed, alpha = .05.

Sleep

NoSleep
14 8
13 9
8 6
9 13
11 7
10 9
9 10
13 12
12 8
11 11
14 9
13 12

 

    1. Write the null hypothesis in symbols and word and write the alternative hypothesis in symbols and words
    2. By hand, calculate the degrees of freedom. Show calculation. Then use software to obtain the test statistic and p-value. Make a decision about the null using the p-value approach
    3. Write the conclusion in APA style. Compute and report the 95% CI. Interpret the 95% CI.
    4. Using the CI, make a decision about the null hypothesis. Be sure to explain your reasoning. Does this agree with your decision from part 2?
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