Q.52 Two students are interested in w... [FREE SOLUTION]

91影视

Introductory Statistics

Barbara Illowsky, Susan Dean

$Math Studyset 91影视 Explanations$ Math

OER 2018 Edition 路 902 pages

ISBN: 9781938168208

Chapter 13: Q.52 (page 767)

Two students are interested in whether or not there is variation in their test scores for math class. There are $15$ total math tests they have taken so far. The first student鈥檚 grades have a standard deviation of $38.1$ .The
second students' grades have a standard deviation of $22.5$ . The second student thinks his scores are more consistent.
State the null and alternative hypotheses.

Short Answer

Expert verified

The null hypothesis and alternative hypothesis is as shown below:

$H_{0} : 蟽_{1} = 蟽_{2}$

$H_{1} : 蟽_{1} < 蟽_{2}$

Step by step solution

Given Information

This information is given in the question, There are $15$ total math tests they have taken so far. The first student鈥檚 grades have a standard deviation of $38.1$ . The second students' grades have a standard deviation of $22.5$ . State the null and alternative hypotheses.

Step 2: Explanation

Our Null hypothesis is based on there being no significant difference between the variations of scores for math class.

So, we have

$H_{0} : 蟽_{1} = 蟽_{2}$

The alternative hypothesis is

$H_{1} : 蟽_{1} < 蟽_{2}$

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working-class	professional (middle incomes)	professional (wealthy)
17.8	$16.5$	$8.5$
$26.7$	$17.4$	$6.3$
$49.4$	$22.0$	$4.6$
$9.4$	$7.4$	$12.6$
$65.4$	$9.4$	$11.0$
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19.5	15.4	15.4
51.2	13.9	9.3

Linda's rats	Tuan's rats	Javier's rats
$43.5$	$47.0$	$51.2$
$39.4$	$40.5$	$40.9$
$41.3$	$38.9$	$37.9$
$46.0$	$46.3$	$45.0$
$38.2$	$44.2$	$48.6$

91影视

Short Answer

Step by step solution

Given Information

Step 2: Explanation

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