Which confidence level will create the widest interval? Question 1 options: 99%

Question

Which confidence level will create the widest interval?

Question 1 options:

99%

90%

80%

95%

Question 3

True or False? If you are concerned that the validity conditions aren't met, use a theory-based approach to compute a confidence interval for the mean.

Question 3 options:

True

False

Information

Use the following information for the next two questions.  

According to USA Today, 2008, Americans on average have visited 16 states in the United States. In a survey of 50 randomly selected students in an introductory statistics class, the average number of states the students had visited was 9.48 with a standard deviation of 7.13.  

Question 4

What is the variable of interest? What type of variable is this?

Question 4 options:

number of states visited, quantitative

average number of states visited, quantitative

proportion of students who have visited at least 16 states, categorical

whether or not a student has visited at least 16 states, categorical

Question 5

A 99% confidence interval for the average number of states visited by all students is found to be (6.78, 12.18). Select all of the following that apply.

Question 5 options:

We are 99% confident the true mean number of states students had visited is between 6.78 and 12.18 states.

We are 99% confident the sample mean number of states these 50 students had visited is between 6.78 and 12.18 states.

There is evidence that the true mean number of states visited by students is less than 16 states.

There is little to no evidence that the true mean number of states visited by students differs from 16 states.

99%

90%

80%

95%

Explanation / Answer

Solution:-

1) (A) Confidence level will create the widest interval is 99%.

3) True

4) Average number of states visited, quantitative.

5) We are 99% confident the true mean number of states students had visited is between 6.78 and 12.18 states.

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