Author Question: For a value of z = -1.59, explain the steps needed to find the area to the left of this ... (Read 78 times)

lbcchick

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For a value of z = -1.59, explain the steps needed to find the area to the left of this value.

Question 2

The owner of a large shopping center is besieged with complaints concerning the shortage of parking space. He feels that the 1000 spaces are adequate. In an effort to address the problem, he obtains a sample of the average number of cars on the parking lot during prime hours. The sample of 40 has a mean of 952 . Assume a population standard deviation of 396 . The 95 confidence interval estimate for prime hour parking is:
 a. 889.36 to 932.60.
  b. 932.60 to 971.40.
  c. 829.28 to 1074.72.
  d. 849.00 to 1054.99.
  e. 952.00 to 1052.00.



Yixagurpuldink

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Answer to Question 1

By symmetry the area to the right of 0 is the same as the area to the left of 0 for values of z. In finding the area to the left of a negative value of z use the symmetry property to reason that .5 of the area lies to the left of 0 . Go down the left most column to the value 1.5 and across the row until reaching the column headed by 9. The value is 0.4441, which is the area between z = 0 and z = -1.59 . Subtract this area from 0.5 to obtain the desired area of 0.0559.

Answer to Question 2

C



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