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 10.9 9.6 7.1 9.9 11 8.8 15.7 10 14.5 11.1 8.2 8.7 10.9 15.5 7.6 7.5 Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the α=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. H0: μ1<μ2 H1: μ1>μ2 B. H0: μ1=μ2 H1: μ1>μ2 C. H0: μ1=μ2 H1: μ1<μ2 D. H0: μ1=μ2 H1: μ1≠μ2 Determine the P-value for this hypothesis test. P-value=nothing (Round to three decimal places as needed.) State the appropriate conclusion. Choose the correct answer below. A. Reject H0. There is not significant evidence at the α=0.05 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms. B. Do not reject H0. There is not significant evidence at the α=0.05 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms. C. Reject H0. There is significant evidence at the α=0.05 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms. D. Do not reject H0. There is significant evidence at the α=0.05 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 2AGP

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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
10.9	9.6	7.1	9.9	11	8.8
15.7	10	14.5	11.1	8.2	8.7
10.9	15.5		7.6	7.5

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

α=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.

H0:

μ1<μ2

H1:

μ1>μ2

H0:

μ1=μ2

H1:

μ1>μ2

H0:

μ1=μ2

H1:

μ1<μ2

H0:

μ1=μ2

H1:

μ1≠μ2

Determine the P-value for this hypothesis test.

P-value=nothing

(Round to three decimal places as needed.)

State the appropriate conclusion. Choose the correct answer below.

Reject

H0.

There

is not

significant evidence at the

α=0.05

level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms.

Do not reject

H0.

There

is not

significant evidence at the

α=0.05

level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms.

Reject

H0.

There

significant evidence at the

α=0.05

level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms.

Do not reject

H0.

There

significant evidence at the

α=0.05

level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms.

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