A Nationwide Survey of College Students Was Conducted and Found $\mu$

question 77

Multiple Choice

A nationwide survey of college students was conducted and found that students spend two hours per class hour studying. A professor at your school wants to determine whether the time students spend at your school is significantly different from the two hours. A random sample of fifteen statistics students is carried out and the findings indicate an average of 1.75 hours with a standard deviation of 0.24 hours. Given the following printout, what can you determine?

• A) The alternate hypothesis is \(\mu\) \(\le\) 2
• B) You should accept the null hypothesis at the 0.05 level of significance.
• C) There is less than a 1% chance of getting these results if the null hypothesis is true, so you have very strong evidence to suggest that the average number of study hours is different from 2.
• D) You should reject the null hypothesis at the 0.05 level of significance, but accept it when testing at the 0.01 level of significance.
• E) You should accept the null hypothesis at the 0.05 level of significance, but reject it when testing at the 0.01 level of significance.

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Definitions:

Risk-averse

Describes individuals or entities that prefer to avoid risks and would opt for a sure thing over a gamble with a potentially higher payoff.

Researcher

An individual engaged in systematic investigation to establish facts or principles or to collect information on a subject.

HMO Outcome

The results or effects of health maintenance organization (HMO) policies on healthcare quality, costs, and patient satisfaction.

Risk-neutral

A description of an investor's or decision maker's attitude towards risk in which they are indifferent between different prospects with the same expected return, regardless of the associated risk.