Question

HY Score: 50.61%, 5.57 of 11 pts 8 of 11 (8 complete) Score: 0.67 of 1 pt Question Help * 11.3.15-T A researcher wanted to determine if carpeted rooms contain more bacterña than uncarpeted rooms The table shows the results for the number of bacteria per cubic foot for both types of rooms Full data set a Carpeted 10.2 156 86 57 108 43 76 117 74 6 121 85 7.6 15.5 8.9 46 Determine the P-value for this hypothesis test P-value-004 (Round to three decimal places as needed) State the appropriate conclusion. Choose the correct answer below A Reed Ha There is not significant evidence at the r-o ol level of sig nincance to conclude that carpeted rooms nave more bactena than 트. Do not re ect Ho mere rs significant evidence at the α-Ο ΟΙ ievel of significance to conclude that carpeted rooms nave more bacteria than uncarpeted moms Reject Ho There Do not eed H0 There is not s is signincant evidence at the a-001 level of significance t m cant evidence at the α: to conctlude that carpeted rooms have more bacteria than uncarpeted rooms 01 leval ot sign ficance to conc ude hat arpeted rooms na e more atte a anunca pete rooms s complete Tap on the red indicators to see incorrect answers All parts showing s O 218 PM 5/13/2019 up

Answer 1

The following table is obtained Difference- Sample 1 Sample 2 Sample 1 Sample 2 5.7 10.8 4.3 4.5 4.8 4.3 1.6 10.2 15.6 8.6 7.6 11.7 7.4 7.6 15.5 12.1 8.5 8.9 4.6 10.9 2.913 Average 10.525 3.435 8 7.613 2.904 St. Dev 4.112 From the sample data, it is found that the corresponding sample means are X1 10.525 X27.613 Also, the provided sample standard deviations are 3.435 82 2.904 and the sample size is n 8. For the score differences we have D- 2.913 sD 4.112

(3) Test Statistics The t-statistic is computed as shown in the following formula: 2.913 D/Vn 4.112/v6 2.003 (4) Decision about the null hypothesis Since it is observed that t hypothesis is rejected. 2.003 tc 1.895, it is then concluded that the null Using the P-value approach: The p-value is p 0.0426, and since p .05, it is concluded that the null hypothesis is rejected. 0.0426 < (5) Conclusion It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that population mean μ| is greater than μ2, at the .05 significance level