Using the Central Limit Theorem
11th - 12th Grade
•20 Qs
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Using the Central Limit Theorem
Quiz
•
Mathematics
•
11th - 12th Grade
•
Hard
+4
Standards-aligned
Geoffrey Lufanana
Used 21+ times
FREE Resource
20 questions
Show all answers
1.
FILL IN THE BLANK QUESTION
1 min • 1 pt
The average outstanding credit card balance for young couples is $650 with a
standard deviation of $420. In an SRS of 100 couples, what is the probability that the mean outstanding credit card balance exceeds $700?
(give your answer to 4 decimal places)
Tags
CCSS.HSS.IC.A.1
CCSS.HSS.IC.B.4
CCSS.HSS.ID.A.4
CCSS.HSS.MD.A.2
CCSS.HSS.MD.B.5
2.
FILL IN THE BLANK QUESTION
1 min • 1 pt
The strength of paper coming from a manufacturing plant is known to be 25 pounds per
square inch with a standard deviation of 2.3. In a simple random sample of 40 pieces of
paper, what is the probability that the mean strength is between 24.5 and 25.5 pounds per
square inch?
(give your answer to 4 decimal places)
Tags
CCSS.HSS.IC.A.1
CCSS.HSS.IC.B.4
CCSS.HSS.ID.A.4
CCSS.HSS.MD.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken.
What is the distribution for the weights of one 25-pound lifting weight?
Normal distribution.
Uniform distribution.
Exponential distribution.
Poisson distribution.
Tags
CCSS.HSS.MD.A.1
CCSS.HSS.MD.A.3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken.
What is the notation of the distribution for the weights of one 25-pound lifting weight?
x~N(25,24)
x~U(25,24)
x~Exp(25)
x~P(25)
Tags
CCSS.HSS.MD.A.1
CCSS.HSS.MD.A.3
5.
FILL IN THE BLANK QUESTION
30 sec • 1 pt
A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken.
What is the mean of the sample distribution? Leave out the unit in the answer.
Tags
CCSS.HSS.IC.A.1
CCSS.HSS.MD.A.2
CCSS.HSS.MD.A.3
6.
FILL IN THE BLANK QUESTION
30 sec • 1 pt
A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken.
What is the standard error of the sample distribution?
(give your answer to 4 decimal places) Leave out the unit in the answer.
Tags
CCSS.HSS.MD.A.3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken.
What is the distribution for the mean weight of 100 25-pound lifting weights?
Tags
CCSS.HSS.IC.A.1
CCSS.HSS.IC.B.4
CCSS.HSS.ID.A.4
CCSS.HSS.MD.A.1
CCSS.HSS.MD.A.2
CCSS.HSS.MD.A.3
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