In: Statistics and Probability
Question 1 (1 point)
Suppose you are a civil engineer, specializing in traffic volume
control for...
Question 1 (1 point)
Suppose you are a civil engineer, specializing in traffic volume
control for the City of Grand Rapids. Your department has been
receiving a multitude of complaints about traffic wait times for a
certain intersection in the heart of downtown. To see if these
claims are valid, you want to monitor the true average wait time at
that intersection. Over the course of a few months, you record the
average number of minutes a car waits at the intersection between
4:00 PM and 5:00 PM. With a sample size of 14 cars, the average
wait time is 6.476 minutes with a standard deviation of 1.6154
minutes. Construct a 99% confidence interval for the true average
wait time for a car at the intersection between 4:00 PM and 5:00
PM.
Question 1 options:
Question 2 (1 point)
In a climate survey, it was determined that in a random sample
of 19 days, the average temperature in Kalamazoo at 2:00 PM in the
months of July and August is 73.41 degrees with a standard
deviation of 3.142 degrees. Using this information, a 99%
confidence interval for the average is (71.34, 75.48). Which of the
following is the appropriate interpretation of this interval?
Question 2 options:
|
1)
|
We are 99% confident that the average daily temperature for the
months of July and August at 2:00 PM for the days recorded is
between 71.34 and 75.48. |
|
|
2)
|
We are 99% confident that the proportion of all days'
temperatures will fall between 71.34 and 75.48. |
|
|
3)
|
We cannot determine the proper interpretation of this
interval. |
|
|
4)
|
We are 99% confident that the average daily temperature for the
months of July and August at 2:00 PM is between 71.34 and
75.48. |
|
|
5)
|
We are certain that 99% of the days in the months of August and
July will have a temperature at 2:00 PM between 71.34 and
75.48. |
|
Question 3 (1 point)
Not all Walmart stores carry the same merchandise. In fact, in
an audit of 1665 random stores, only 521 carried snowsuits
seasonally. What is the 99% confidence interval estimate for the
total number of Walmart stores that carry snowsuits?
Question 3 options:
|
|
|
|
|
|
|
|
|
5)
|
( -0.28364 , 0.34218 ) |
|
Question 4 (1 point)
You work for a pharmaceutical company that is testing a new
cholesterol drug. The proportion of patients on the previous drug
who had a positive treatment was 0.329. You want to see if the new
drug is more effective than the previous drug. You conduct a sample
of 99 patients on the new drug and find that 59 have had a positive
treatment effect. The 99% confidence interval is ( 0.4689 , 0.723
). What is the best conclusion you can make of those listed
below?
Question 4 options:
|
1)
|
We can not conclude that the proportion of patients who see a
positive treatment effect with the new drug differs from
0.329. |
|
|
2)
|
We can claim that the proportion of patients who see a positive
treatment effect with the new drug is smaller than 0.329. |
|
|
3)
|
The confidence interval does not provide enough information to
form a conclusion. |
|
|
4)
|
The proportion of patients on the new drug who saw a positive
treatment effect from 0.329 is 99%. |
|
|
5)
|
We can claim that the proportion of patients who see a positive
treatment effect with the new drug is larger than 0.329. |
|