Is sleep or caffeine better for memory? To answer this question, 24 randomly chosen adults were...

Is sleep or caffeine better for memory? To answer this question, 24 randomly chosen adults
were divided equally into two groups and given a list of 24 words to memorize. During a break,
members of one group took a 90-minute nap while members of the other group each took a
caffeine pill. They were then all tested to see how many of the words they could remember; the
results are available on StatKey as the Sleep Caffeine Words dataset.
(a) Use StatKey to create a relevant bootstrap distribution, then use that distribution to
obtain a relevant 95% confidence interval.
(b) State the relevant null and alternative hypotheses.
(c) Use StatKey to create a randomization distribution based on this data and H0, then
determine the p-value and state your conclusion clearly.

Solutions

Expert Solution

(a) The 95% confidence interval is between -0.128 and -0.012.

(b) The hypothesis being tested is:

H₀: µ₁ = µ₂

H₁: µ₁ ≠ µ₂

The p-value is 0.026.

Since the p-value (0.026) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that there is a different effect of sleep or caffeine for memory.

orchestra answered 1 year ago

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