Using the Central Limit Theorem

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.ID.A.4

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.ID.A.4

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

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.3

CCSS.HSS.MD.A.4

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.6.SP.A.2

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

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

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.

Find the probability that the mean actual weight for the 100 weights is less than 24.9. (give your answer to 4 decimal places) Leave out the unit in the answer.

Tags

CCSS.HSS.ID.A.4

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.

. Find the 90^th percentile for the mean weight for the 100 weights.

(give your answer to 2 decimal places) Leave out the unit in the answer.

Tags

CCSS.HSS.ID.A.4

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 sum of the weights of 100 25-pound lifting weights?

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3