Statistical Analysis Lesson 4

Statistical Analysis Lesson 4

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Online Exam 4_04

Question 1 of 20

5.0 Points

The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. In a random sample of 460 pencils, approximately how many would you expect to have a diameter less than 0.293 inches?

  A. 123

  B. 118

  C. 112

  D. 111

Question 2 of 20

5.0 Points

The weights of the fish in a certain lake are normally distributed with a mean of 20 lb and a standard deviation of 6. If 9 fish are randomly selected, what is the likelihood that the mean weight will be between 17.6 and 21.6 lb?

  A. 0.9370           

  B. 0.6800           

  C. 0.6730           

  D. 0.0968

Question 3 of 20

5.0 Points

The annual precipitation for one city is normally distributed with a mean of 72 inches and a standard deviation of 3.5 inches. Fill in the blanks.

In 99.7% of the years, the precipitation in this city is between __________ and __________ inches.

Apply the 68-95-99.7 rule to this questions.

  A. 61.5, 82. 5    

  B. 82.5, 61.5     

  C. 61.5, 85.5     

  D. 63.5, 82.5

Question 4 of 20

5.0 Points

Decide which of the described variables likely have a normal or near-normal distribution.

a) The amount of change held by a teacher at the end of each day for a year

b) The amount of pocket money held by each student at a mid-sized liberal arts college at a given time