A store gets a shipment of 500 MP3 players. Twenty-five of the players are defec

Question

A store gets a shipment of 500 MP3 players. Twenty-five of the players are defective, and the rest are working. A graphing calc is used to generate 20 random numbers to simulate a random sample of the players. (Lesson 5.3) 3. ulato A list of 20 randomly generated numbers representing MP3 players is: 474 77 101 156 378188 116 458 230 333 78 19 675 191 124 226 496 481 161 Let numbers 1 to 25 represent players that are b. Let numbers 21 to 500 represent players that are c. How many players in this sample are expected to be a. defective? d. If 300 players are chosen at random from the shipment, how many are expected to be defective based on the sample? Does the sample provide a reasonable inference? Explain.

Explanation / Answer

There appears to be a mistake. Possibly, in (b), the numbers should be 26 to 500 as 25 players are defective so that if the player numbers 1 to 25 are defective , then the player numbers 21 to 500 cannot be either all defective or all working

3.(a). Let numbers 1 to 25 represent MP3 players that are defective.

    (b). Let numbers 26 to 500 represent MP3 players that are working.

   (c ). In the sample generated, only the numbers 19 and 5 are between 1 to 25. Therefore, only 2 MP3 players in this group are expected to be defective.

   (d). 25 out of 500 MP3 players are defective. Therefore, the probability of a MP3 player among 500 , being defective is 25/500 = 0.05. Now, if 300 MP3 players are selected at random, then 300*0.05 = 15 MP3 players are expected to be defective. A sample size of 300 randomly selected numbers out of 500 numbers is an adequately large sample to provide a reasonable inference.

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