A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms. Full data set Carpeted Uncarpeted 14.214.2 15.415.4 1616 6.46.4 6.76.7 7.97.9 9.79.7 8.38.3 7.57.5 8.38.3 12.412.4 11.911.9 9.99.9 13.613.6 9.59.5 7.67.6 Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the alpha equals 0.05α=0.05 level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers. State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms. A. Upper H 0H0: mu 1 less than mu 2μ1<μ2 Upper H 1H1: mu 1 greater than mu 2μ1>μ2 B. Upper H 0H0: mu 1 equals mu 2μ1=μ2 Upper H 1H1: mu 1 greater than mu 2μ1>μ2 Your answer is correct. C. Upper H 0H0: mu 1 equals mu 2μ1=μ2 Upper H 1H1: mu 1 less than mu 2μ1<μ2 D. Upper H 0H0: mu 1 equals mu 2μ1=μ2 Upper H 1H1: mu 1 not equals mu 2μ1≠μ2 Determine the P-value for this hypothesis test. P-valueequals=nothing (Round to three decimal places as needed.)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms.		Full data set
	Carpeted		Uncarpeted
14.214.2	15.415.4	1616	6.46.4	6.76.7	7.97.9
9.79.7	8.38.3	7.57.5	8.38.3	12.412.4	11.911.9
9.99.9	13.613.6		9.59.5	7.67.6

Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the

alpha equals 0.05α=0.05

level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers.

State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms.

Upper H 0H0:

mu 1 less than mu 2μ1<μ2

Upper H 1H1:

mu 1 greater than mu 2μ1>μ2

Upper H 0H0:

mu 1 equals mu 2μ1=μ2

Upper H 1H1:

mu 1 greater than mu 2μ1>μ2

Your answer is correct.

Upper H 0H0:

mu 1 equals mu 2μ1=μ2

Upper H 1H1:

mu 1 less than mu 2μ1<μ2

Upper H 0H0:

mu 1 equals mu 2μ1=μ2

Upper H 1H1:

mu 1 not equals mu 2μ1≠μ2

Determine the P-value for this hypothesis test.

P-valueequals=nothing

(Round to three decimal places as needed.)

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