A Simple Random Sample of 50 Students Is Taken from a Local

question 7

Multiple Choice

A simple random sample of 50 students is taken from a local community college,which has a total of about 1500 students.Another simple random sample of 50 students is taken from a large state university,which has a total of approximately 20,000 students.The sampled students each answer a one-question survey which reads,"About how many MP3 songs do you own?" The sample average number of MP3 songs owned is calculated for the two sets of students.What can we conclude about the sampling variability in the sample average number of MP3 songs of the students sampled from the small community college as compared to that in the sample average of the students sampled from the large state university?

• A)The sample mean from the small community college has less sampling variability than that from the large state university because there are fewer students at the small community college.
• B)The sample mean from the small community college has more sampling variability than that from the large state university because there are more students at the large state university.
• C)The sample mean from the small community college has about the same sampling variability as that from the large state university because the sample sizes are equal.
• D)It is impossible to make any statements about the sampling variability of the two sample means because the students surveyed came from different schools.

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Definitions:

Accounts Receivable Period

The amount of time it takes for a company to collect payment from its customers after a sale has been made.

Cost of Goods Sold

Represents the direct costs attributable to the production of the goods sold by a company.

Cash Collections

The total amount of money received by a company from its various activities, including sales, services, and financing, over a specific period.