To discourage students from driving to campus, a university claims students spend an average of 20 minutes looking for a parking spot. One student does not believe it takes so long to find a spot. After taking a random sample of 45 students, a sample mean of 17.4 minutes to find a parking spot was calculated.

To assess the evidence provided by the sample data, what is the appropriate question to ask?

1. The true mean amount of time needed to find a parking spot 17.4 minutes?

2. How likely is it that the true mean amount of time needed to find a parking spot is 20 minutes?

3. How likely is it that, in a sample of 45, the true mean amount of time needed to find a parking spot is 17.4 minutes or less if the true mean is 20?

4. How likely is it that, in a sample of 45, the true mean amount of time needed to find a parking spot is less than 20 minutes?

Question

Kayleigh Oconnor

Mathematics

8 July, 14:09

To discourage students from driving to campus, a university claims students spend an average of 20 minutes looking for a parking spot. One student does not believe it takes so long to find a spot. After taking a random sample of 45 students, a sample mean of 17.4 minutes to find a parking spot was calculated.

To assess the evidence provided by the sample data, what is the appropriate question to ask?

1. The true mean amount of time needed to find a parking spot 17.4 minutes?

2. How likely is it that the true mean amount of time needed to find a parking spot is 20 minutes?

3. How likely is it that, in a sample of 45, the true mean amount of time needed to find a parking spot is 17.4 minutes or less if the true mean is 20?

4. How likely is it that, in a sample of 45, the true mean amount of time needed to find a parking spot is less than 20 minutes?

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Answers (1)

Know the Answer?

Isai Welch · Answer 1

The correct answer to the question is

4. How likely is it that, in a sample of 45, the true mean amount of time needed to find a parking spot is less than 20 minutes?

Step-by-step explanation:

Confidence interval provides a range of likely values for an unknown parameter. The interval is weighted based on probabilities of occurrence, such as 95% or 99% based on the result of a sample of test data.

It gives the probability that a given parameter such as the mean will be of a certain value range based on a given number of times.

As such the confidence level of the given mean amount of time needed to find a parking spot should be known.