Question

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 Carpeted 6.4 7.4 9.5 8.2 15.9 12.6 13.2 11.6 Full data set Uncarpeted 6.2 4.2 8.1 12.9 4.5 11.9 11.1 4.4 Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the a = 0.01 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 O A. Ho H1 H2 HH1 H2 OB. Ho H1 H2 H:H1 H2 OC. Ho H1 H2 H:H1*42 OD. Ho H1 H2 HH1 H2 Determine the P-value for this hypothesis test. P-value = (Round to three decimal places as needed.) State the appropriate conclusion. Choose the correct answer below. O A. Do not reject Ho. There is significant evidence at the a = 0.01 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms. O B. Do not reject Ho. There is not significant evidence at the a = 0.01 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms. O C. Reject Ho. There is significant evidence at the a=0.01 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms. OD. Reject Ho. There is not significant evidence at the a = 0.01 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms.

Answer 1

Page No. Date Let ti denote batteria in carpeted room & denotes bacteria in un carpected X2 room Hypothesis Ho! l, = lla Hii ei > M 2 Test statistic ñi - X2 I tot nitna-2 Sp - na asi azi (ai-ai) ? (X2; -22) 6.4 2.9 327 17.64 10.24 7.4 4.2 0.26 27 9.s 8.1 1.21 2.5202 8.2 12.9 5.16 0.08 21 15.9 4.5 28.09 63.8002 12.6 و ۱۱۰ 4 21.9127 13.2 6.16 27.9 577 11.6 13.5977 4.4 63.3 84.8 74.7 133.1 263 £ xi 84.8 10.6 4 ni 8 { xai 63. 3 ors 7.9125 n2 00 74.7 I cani 2,² i nial 1 .. Si = 0.31.80

Date E (X2 52² fo- 133. 1263 ne-l 1.9425 7 1.3937 Now (noun) siit (neri)s 2 Spa nit na-2 7 * 0.14 29 + 7 X 1.9425 878-2 1.0211 10.6.7.9125 t- 561-ăz Sp 5. 4699 1.0211 19 h + na 8 8 a v awe for calculated value of t & nitna-2 2 14 degree of freedom ei Value 0.000) P P than R=0.01 vame és less We reject Ho Reject Ho. Then i significant evidence of R=0,01 level of significance significance to conclude that carpeted have more bacteria than un carpeted now. rooms