Answered: Joan was convinced that students who…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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Question

Joan was convinced that students who study abroad during college would report a more positive “college experience” than the general population of students, whose average “college experience” is m = 4.5 on a scale ranging from 1, totally negative, to 7, extremely positive). She sampled 7 students who had studied abroad. Their scores are as follows:

*For this problem, you will be conducting a t test for a single sample. See pages 235-237 for an example of conducting this type of analysis and model your response afte

Step 4: Determine your samples score on the comparison distribution. That is, calculate the t-test for your sample’s mean. SHOW ALL WORK and formulas.

e) Step 5: Decide whether to reject the null hypothesis. State in words the results of your study (using an alpha of r that problem.

Expert Solution

Working

X	(x-xbar)^2
4	4
6	0
7	1
7	1
6	0
5	1
7	1

The mean is given by

$\overline{x} = \frac{1}{n}\sum x$

$\overline{x} = \frac{42}{7} = 6$

The standard deviation is given by

$s =\sqrt{\frac{1}{n-1}\sum (x - \overline{x})^2}$

$s =\sqrt{\frac{8}{6}} =1.1547$

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