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.

Conduct a test of whether or not the sample data provide evidence that the population mean ratio differs from 0.10. The sample mean isx=0.077125 Standard deviation=0.036637

1. State your hypotheses:
2. Use Fathom/RGuroo/StatCrunch to perform the hypothesis test.State the value of your test statistic, rounded to 2 decimal places.
3. Which of the following is true of your p-value?

Question options:

p < .01, very strong evidence

.01 < p < .05, reasonably strong evidence

.05 < p < .10, moderately strong evidence

p > .10, little or no evidence

State your decision based on your p-value.

Question options:

Because the p-value is very small, we accept the null hypothesis at any common significance level

Because the p-value is very small, we fail to reject the null hypothesis at any common significance level

Because the p-value is large, we fail to reject the null hypothesis at any common significance level

Because the p-value is very small, we reject the null hypothesis at any common significance level

Because the p-value is large, we accept the null hypothesis at any common significance level

Because the p-value is large, we reject the null hypothesis at any common significance level

State your decision in context

Question options:

We do not have sufficient evidence that the population mean ratio of backpack weights to body weights is 0.10

We have very strong evidence that the population mean ratio of backpack weights to body weights is 0.10

We have weak evidence that the population mean ratio of backpack weights to body weights is not 0.10

We have very strong evidence that the population mean ratio of backpack weights to body weights is not 0.10

We have moderate evidence that the population mean ratio of backpack weights to body weights is not 0.10

We do not have sufficient evidence to show that population mean ratio of backpack weights to body weights is not 0.10

find the 99% confidence interval, rounded to 3 decimal places:

(___, ___)

Is this result consistent with the result of your hypothesis test?

Question options:

Yes, the results are consistent.Since 0.10 is in the interval, we again have evidence that the average ratio for the population is 0.10

No, the results do not agree.Since 0.10 is in the interval, we have evidence that the average ratio for the population is 0.10, whereas the hypothesis test gave us evidence that the average ratio for the population is not 0.10

Yes, the results are consistent.Since 0.10 is not in the interval, we again have evidence that the average ratio for the population is 0.10

Yes, the results are consistent.Since 0.10 is not in the interval, we again have evidence that the average ratio for the population is not 0.10

No, the results do not agree.Since 0.10 is not in the interval, we have evidence that the average ratio for the population is not 0.10, whereas the hypothesis test gave us evidence that the average ratio for the population is 0.10

Yes, the results are consistent.Since 0.10 is in the interval, we again have evidence that the average ratio for the population is not 0.10