Project #32453 - Statistics Test

Question 1

  1.  
    Use a table of areas to find the specified area under the standard normal curve.

    The area that lies to the left of 1.13
     
     
     
     

10 points  

Question 2

  1.  
    Solve the problem.

    A confidence interval for a population mean has a margin of error of 6.4. Determine the length of the confidence interval.
     
     
     
     

10 points  

Question 3

  1.  
    Find the requested confidence interval.

    A college statistics professor has office hours from 9:00 A.M. to 10:30 A.M. daily. A sample of waiting times to see the professor (in minutes) is 10, 12, 20, 15, 17, 10, 30, 28, 35, 28, 19, 27, 25, 22, 33, 37, 14, 21, 20, 23. Assuming  find the 95.44% confidence interval for the population mean.
     
     
     
     

10 points  

Question 4

  1.  
    Solve the problem.

    A sample of 55 eggs yields a mean weight of 1.76 ounces. Assuming that , find the margin of error in estimating μ at the 95% level of confidence.
     
     
     
     

10 points  

Question 5

  1.  
    Use a table of areas for the standard normal curve to find the required z-score.

    Find the z-score for which the area under the standard normal curve to its left is 0.40
     
     
     
     

10 points  

Question 6

  1.  
    Use a table of areas to find the specified area under the standard normal curve.

    The area that lies to the right of 0.59
     
     
     
     

10 points  

Question 7

  1.  
    Find the indicated probability or percentage for the normally distributed variable.

    The variable X is normally distributed. The mean is μ = 15.2 and the standard deviation is σ = 0.9.
    Find P(X > 16.1).
     
     
     
     

10 points  

Question 8

  1.  
    Find the necessary sample size.

    Scores on a certain test are normally distributed with a variance of 68. A researcher wishes to estimate the mean score achieved by all adults on the test. Find the sample size needed to assure with 95 percent confidence that the sample mean will not differ from the population mean by more than 4 units.
     
     
     
     

10 points  

Question 9

  1.  
    Use a table of areas for the standard normal curve to find the required z-score.

    Find the z-score for having area 0.07 to its right under the standard normal curve, that is, find z0.07.
     
     
     
     

10 points  

Question 10

 

Use a table of areas to find the specified area under the standard normal curve.

The area that lies between -0.73 and 2.27
 
 
 
 

Subject Mathematics
Due By (Pacific Time) 06/07/2014 11:00 pm
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