Question

Suppose a graduate student does a survey of undergraduate study habits on her university campus. She collects data on students who are in different years in college by asking them how many hours of course work they do for each class in a typical week. A sample of four students provides the following data on year in college and hours of course work per class: Student Year in College Course Work Hours per Class 1 Freshman (1) 7 2 Sophomore (2) 6 3 Junior (3) 4 4 Senior (4) 1

Answer 1

The study suggests a general trend of decreasing hours spent on course work per class as students progress through their college years, with seniors allocating the least time.

Step-by-step explanation:

The data collected from the survey of undergraduate study habits indicates a noticeable pattern in the relationship between the year in college and the hours of course work per class.

As illustrated in the provided data, freshmen, on average, reported dedicating 7 hours per class in a typical week.

This number gradually decreases as students advance through their college years, with sophomores spending 6 hours, juniors 4 hours, and seniors allocating the lowest amount of time at 1 hour per class.

This pattern aligns with the common expectation that as students become more experienced and proficient in their studies, they may require less time for course work.

Freshmen, being in the early stages of their academic journey, might need more time to adapt to the demands of college-level coursework.

As students progress, they tend to develop effective study habits, time-management skills, and a deeper understanding of their academic subjects, allowing them to dedicate fewer hours to each class while maintaining their academic performance.

It's essential to note that individual variations and external factors can influence these patterns, and the observed trend serves as a generalization based on the limited sample size provided in the survey.

Answer 2

To test the student academic group's claim, a hypothesis test using t-distribution is conducted. If the calculated t-value is greater than the critical t-value, the claim is incorrect.

Step-by-step explanation:

To determine if the student academic group's claim is correct, we can conduct a hypothesis test. The null hypothesis (H0) is that the average study time of freshman students is 2.5 hours per day, and the alternative hypothesis (Ha) is that the average study time is different from 2.5 hours per day. We can use a t-test because the population standard deviation is unknown.

Using the given sample mean (137 minutes), sample size (30), and sample standard deviation (45 minutes), we can calculate the t-value. With a significance level of 0.01, we compare the calculated t-value to the critical t-value from the t-distribution table. If the calculated t-value is greater than the critical t-value, we reject the null hypothesis and conclude that the student academic group's claim is incorrect.

By performing the necessary calculations, we find the t-value and compare it to the critical t-value. If the calculated t-value exceeds the critical t-value, we reject the null hypothesis and conclude that the student academic group's claim is not correct.