The term "freshmen 15" is often used to describe the weight gain associated with one's freshmen year of college.Researchers at a university campus are interested in determining if there is legitimacy in the claim that freshmen, on average, gain 15 pounds in their first year of college.A random sample of 68 college sophomores were asked to self-report the number of pounds they gained in their first year of college.The sample of students had an average weight gain of 17.676 pounds with a standard deviation of 14.327 pounds.

Using a significance level of 0.01, is there evidence the mean amount of weight gained during the first year of college is greater than what is claimed?

• H
• o
• Ho
• :Select an answer
• p
• y
• p
• ?
• =
• >
• <
• H
• a
• Ha
• :Select an answer
• p
• y
• p
• ?
• >
• <
• =
• =
• Test Statistic: t =(Note: round the t-score to two decimal places)
• probability =Select an answer
• 0.9359
• 0.0641
• 0.1282
• decision:Select an answer
• Fail to reject H
• Reject H
• At the 0.01 level, thereSelect an answer
• is
• is not
• significant evidence to conclude the mean amount of weight gained during the first year of college isSelect an answer
• greater than
• different than
• less than
• lbs.

Based on the decision of your test, what type of error is possible?

• Type II Error
• Type I Error

If the sample size were increased to 84 individuals, the new test statistic would be t =. What effect would this have on the probability for the claim tested? (Draw a picture to help answer this question).

• the p-value would be smaller
• the p-value would not change
• the p-value would be larger