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How many statements are correct about the 90% confidence interval, ( 45 , 55 )

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

Instructions.

 

All questions are multiple-choice.

Submit answers through Canvas on or before the due date. No answers are accepted after the due date. If no answers are submitted by the due date, the grade will be zero.

Take care and note that answers through Canvas may only be submitted once. Therefore, download the Word file with the questions. Obtain all the answers. Then submit all your answers only once through Canvas.

Support Material

Support for this assignment includes material at the website: MDHarper.com

At the MDHarper.com website, click the “Business Statistics” tab.

. . .

Support Material

Supplemental material includes chapters in the textbook-1, Introduction to Business Statistics

I cover material that the textbook does not cover and the textbook covers material I do not.

The lecture will cover the key material for this course.

. . .

Confidence Intervals

Question 1.

Let a random sample be drawn from a normal distribution with a known variance, 2.

A 100(1–)% Confidence Interval for  is given by X ± Z(1–) (n)

How many statements are correct? 0 1 2 3 4

Statement A. If alpha=0.1, then the level of confidence is 90%

Statement B. If the level of confidence is 80%, then the standard normal random variate is approximately 1.282

Statement C. If (n)=1, then the error bound is Z(1–)

Statement D. If the size of a confidence interval is the difference between the upper and lower values, then a 90% confidence interval is greater than a 95% confidence interval.

. . .

Question 2.

Let a random sample be drawn from a normal distribution with a known variance, 2.

How many statements are correct about the 90% confidence interval, ( 45 , 55 ) for ?

0 1 2 3 4

Statement A. The point estimate is 50

Statement B. The error bound on the point estimate is 10

Statement C. The standard normal variate is approximately 1.282

Statement D. The variance of the mean is approximately 3.04

. . .

 

 

Question 3.

Let X~N( , 2 = 212 ). A random sample with a sample size of 14 resulted in a sample mean of 55.

How many statements are correct? 0 1 2 3 4

Statement A. A 90% confidence interval for  is approximately ( 46 , 64 )

Statement B. A 80% confidence interval for  is approximately ( 48 , 62 )

Statement C. A 95% confidence interval for  is approximately ( 44 , 66 )

Statement D. A 85% confidence interval for  is approximately ( 47 , 63 )

. . .

 

Question 4.

Let a random sample be drawn from a normal distribution with a known variance, 2.

How many statements are correct about the 90% confidence interval, (40,55) for ?

0 1 2 3 4

Statement A. Probability refers to the interval (40,50)

Statement B. Confidence refers to the parameter 

Statement C. The interval (40,50) contains the mean  with a confidence of 90%

Statement D. The parameter  lies in the interval (40,50) with a probability of 90%

. . .

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