11.3 Confidence Intervals
Presentation
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Jessica James
Used 1+ times
FREE Resource
7 Slides • 13 Questions
1
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Fill in the Blanks
For an IQ the mean is 100, the standard deviation is 10. Determine the z score of someone who got 70.
Type answer...
3
Fill in the Blanks
For an IQ the mean is 100, the standard deviation is 10. Determine the z score of someone who got 120.
Type answer...
4
Multiple Choice
For an IQ the mean is 100, the standard deviation is 10. Assuming it is normally distributed, 95% of results should fit between...
80.4 and 119.6
80 and 120
90.4 and 110.6
70 and 130
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Z score reminder
99% - 2.58
95% - 1.96
90% - 1.645
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Multiple Choice
For an IQ the mean is 100, the standard deviation is 10. Assuming it is normally distributed, 99% of results should fit between...
60.3 to 140.7
74.2 to 125.8
65.1 to 135.9
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Multiple Choice
For an IQ the mean is 100, the standard deviation is 10. Assuming it is normally distributed, 99% of results should fit between...
8
lie
9
Fill in the Blanks
10
Multiple Choice
What does a 90% confidence interval indicate about the population mean?
It means the population mean will always be in the interval.
It means 90% of the possible samples will have the population mean in the calculated interval.
It means the sample mean is always equal to the population mean.
It means the interval is 90% of the sample size.
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Multiple Choice
Which of the following z-scores would you use for a 99% confidence interval?
±1.645
±1.96
±2.58
±2.33
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Multiple Choice
A sample of 20 cupcakes found the interval for average calories to be (150, 350). Which is the correct interpretation of the 95% confidence interval?
We are 95% confident that the true mean caloric content can be found with a sample of 150 to 350 cupcakes.
We are 95% confident that the interval (150, 350) captures the true average caloric content.
We are 95% confident that a sample of 20 cupcakes will find 250 calories per cupcake.
None of these are correct.
14
Fill in the Blanks
A sample of 20 cupcakes found the interval for average calories to be (150, 350) with 95% confidence. What percentage of cupcakes could be estimated to have over 350 calories?
Type answer...
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Fill in the Blanks
After surveying 20 people, you find the average lunch spending is $4.53 with a standard deviation of $0.23. State the 95% confidence interval for the average amount spent on lunch today.
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Open Ended
In Worked Example 3, the average amount spent on lunch was between $4.43 and $4.63. Determine the sample size needed to reduce the interval to ±$0.05 for a 95% confidence interval.
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Fill in the Blanks
...average vegetable consumption?
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