Homework Section 11.3- Inference 2 Means: Inde-Ameera Garsa 11/162017 Full data
ID: 3363557 • Letter: H
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Homework Section 11.3- Inference 2 Means: Inde-Ameera Garsa 11/162017 Full data set Uncarpeted 9. A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for the number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data are approximately normally distibuted with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at the Carpeted 122 13.5 11.72.8 9.3 11.5 6 7.1 7.7 94 5.9 8.1 11.3 8.3 6.6 7.5 0.05 level of significance? 8 Click the icon to view the Student t-distribution table. What are the null and alternative hypotheses? versus Calculate the test statistic, to (Round to two decimal places as needed.) - -- Now find the critical value. Select the correct choice below and fill in the answer box within your choice (Round to three decimal places as needed.) Do carpeted rooms have more bacteria than uncarpeted rooms at the -0.05 level of significance? O A. Yes, because the test statistic is in the critical region. O B. No, because the test statistic is in the critical region. O C. No, because the test statistic is not in the critical region. 0 D. Yes, because the test statistic is not in the oitical region. 8: Student t-distributionExplanation / Answer
Null hypothesis: The differences between the bacteria content of carpet is not significant.
Alternative: There is a significant difference between the bacteria content.
Two Sample t-test
data: x1 and x2
t = 1.5454, df = 13.965, p-value = 0.1446
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
-0.8102621 4.9852621
sample estimates:
mean of x mean of y
9.7250 7.6375
The t-test results are given.
at level of significance, alpha = .05
The critical values: t(alpha/2) = 2.144787 t(alpha) = 1.76131
C-option. No. As p-value is higher than .05, we wont reject null hypothesis. So no, there is no significant difference in the mean. 0 lies in the 95% confidence interval.
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