Chapter 10, Problem 14P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

In a recent study, Piff, Kraus, Côté, Cheng, and Keltner (2010) found that people from lower socio- economic classes tend to display greater prosocial behavior than their higher-class counterparts. In one- part of the study, participants played a game with an anonymous partner. Part of the game involved sharing points with the partner. The lower economic class participants were significantly more generous with their points compared with the upper-class individuals. Results similar to those found in the study, show that *n =* 12 lower-class participants shared an average of *M* =5.2 points with *SS* =11.91, compared to an average of *M =* 4.3 with *SS* = 9.21 for the n = 12 upper-class participants.

- a. Are the data sufficient to conclude that there is a significant mean difference between the two economic populations? Use a two-tailed test with α = .05.
- b. Construct an 80% confidence interval to estimate the size of the population mean difference.

**a.**

To determine

**To Find:** If there is a significant mean difference between the two economic populations using two-tailed test at

Explanation

**Given info:**

Two samples each with size 12 have means 5.2 and 4.3 respectively. Similarly, both of them have sum of squared difference (SS) equal to 11.91 and 9.21 respectively.

**Calculations:**

Step 1: Null Hypothesis is

Step 2: For the given sample, the t-statistics will have degrees of freedom equals:

For a two-tailed test with *t*-table as

Step 3: *t*-statistics is calculated using formula:

But before that calculate pooled variance,

Substitute 11.91 for

Now, the formula for estimated standard error of the difference is

Substitute 0

**b.**

To determine

**To Find:** The 80% confidence interval to estimate the size of the population mean difference for the given question.

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