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Need help solving, I use a TI-84 plus. In an experiment, 7 rooms were carpeted and 7 were left uncarpeted. The rooms are similar in

Need help solving, I use a TI-84 plus.

In an experiment, 7 rooms were carpeted and 7 were left uncarpeted. The rooms are similar in size and function. After a suitable period of time, the concentration of bacteria in the air was measured (in units of bacteria per cubic foot) in all of these rooms. The data and summaries are provided:

n

x-bar

s

carpeted rooms

7

184

22.0

uncarpeted rooms

7

175

16.9

Let1 represent the mean bacterial levels in carpeted rooms and2 represent the mean bacteria levels in uncarpeted rooms. Does the data give evidence of a difference in the mean bacteria levels for carpeted rooms and uncarpeted rooms?

Blank #1: Are the samples independent or dependent?

Blank #2: What is thenullhypothesis? Fill in the blank as appropriate. The null hypothesis is:

Blank #3:Run you hypothesis test and report the p-value. Round to four decimal places.

Blank #4: Give the test decision: (reject or do not reject) H0

Blank #5: Evidence _______________(favors or does not favor) that there is a difference in the mean levels of bacteria for carpeted rooms and uncarpeted rooms.

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