Question

A group of undergraduate students at Cal Poly (Mintz, Mintz, Moore, and Schuh, 2002) conducted a study examining how much weight students carry in their backpacks. They weighed the backpacks of 100 students and compared the distributions of backpack weights between men and women. The student researchers also recorded the body weight of each student and computed the ratio of backpack weight to body weight for each student. a. Is this ratio a categorical or quantitative variable? b. Conduct a test of whether or not the sample data provide evidence that the population mean ratio differs from 0.10. The sample mean is X 0.081046 and the standard deviation is 0.033433. Report all aspects of the test, including a check of technical conditions. Also, summarize your conclusion. value, enter for the lower limit. If Round the test statistic to two decimal places. Use the table to find a range for the p .value. If there is no lower limit on the there is no upper limit on the p-value, enter 1 for the upper limit. на: им 1 Test statistic:

Answer 1

Ho! = 0.10 Hail&010 (Two teciled test) n=100, X = 0.081046, S = 0.033433 Population Standard deviation is unkoon so we use the t-distribution. 0.081046-0:10 text Sun 0.03343311100 - -5.6698 Ł=-5.67 [+=-5067 P-value = 281 - Pr (22-5667)] ormai fusing p-value df = n-i 1 = 100-1 -99 - 10.000011 Galculeder 1. [0 < P-value <0:01 The result is significant at Pa q=000! Since, P-value is less than the q=0.0 So, we Reject the Hol Conclusion I There is a significant evidence to support the claim at 2=0.01 level of signifiance

ence erou (e) Confidence interval The 994. Confidence interocel 1% 0.0722 < H<0.6899 Since, or is not present, this is consistent with the . test result