Chapter 10, Problem 21P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

When people learn a new task, their performance usually improves when they are tested the next day, but only if they get at least 6 hours of sleep (Stickgold, Whidbee, Schirmer, Patel, &. Hobson, 2000). The following data demonstrate this phenomenon. The participants learned a visual discrimination task on one day, and then were tested on the task the following day. Half of the participants were allowed to have at least 6 hours of sleep and the other half were kept awake all night. Is there a significant difference between the two conditions? Use a two-tailed test with

To determine

**To check:** Whether there is a significant difference between the two conditions using two tailed test with

Explanation

**Given info:**

The two samples each with size 14 have mean 72 and 65 respectively. The sum of squared difference is 932 and 706 respectively.

**Calculation:**

Step 1: Null hypothesis is

Step 2: For the given sample, degrees of freedom equals

For a two-tailed test with

Step 3: t-statistics is calculated as:

Pooled variance,

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