In: Statistics and Probability
Question 11 pts
What is the critical value of z (that is, z*) for the 99% confidence level?
Group of answer choices
1.645
2.576
1.960
3.000
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Question 21 pts
The margin of error for your confidence interval will be:
Group of answer choices
.47
.36
.07
3.34
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Question 31 pts
Suppose the correct confidence interval is from 2 to 4 hours. Which of the following would be the correct interpretation of this interval?
Group of answer choices
There is a 99% probability the mean time MU students spend online per day is between 2 and 4 hours.
We are 95% sure the mean time MU students spend online per day is between 2 and 4 hours.
We are 95% sure the mean time the students surveyed spend online per day is between 2 and 4 hours.
99% of MU students spend between 2 and 4 hours online per day.
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Question 41 pts
Suppose you wish to decrease the margin of error to a quarter hour (that is .25 hours), still having 99% confidence in your conclusion. How many students must be surveyed?
Group of answer choices
180
212
98
13
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Question 51 pts
The margin of error (MOE) will decrease (resulting in a narrower interval and a more accurate estimate) in all the following situations EXCEPT which one?
Group of answer choices
A lower confidence level is used.
A larger sample size is used.
The variation in hours spent online is lower.
The sample is not a random sample.
Question 1
The critical value of z (that is, z*) for the 99% confidence level is 2.576
Question 2
The margin of error for your confidence interval = Z * Standard error
Multiply the z value with the standard error to get the answer.
Question 3
The correct interpretation of this interval is,
There is a 99% probability the mean time MU students spend online per day is between 2 and 4 hours.
Question 4
To decrease the margin of error to a quarter hour (that is .25 hours), the sample size is,
n = (z / E)^2 = (2.576 * / 0.25)^2
= 106.1724 *
Put the value of standard deviation in previpus part of the question to get the answer.
For example if the standard deviation is 1.3
n = 106.1724 * 1.3^2 = 180
Question 5
The margin of error (MOE) will decrease for lower confidence interval, large sample size, lower variation in hours spent. The answer is,
The sample is not a random sample.