pp.131-140 fall 2009

# pp.131-140 fall 2009 - 131 The following examples will be...

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The following examples will be used to illustrate the Central Limit Theorem. Each of the examples has two parts, (a) and (b). In part (a) of the two examples, we will sample just one item from the population (n = 1). So, in part (a) we are talking about a random variable, X . In part (b) of the two examples, we will draw a random sample of size n 30 and compute the mean of the sample, that is X . Therefore, in part (b) we will are talking about a random variable, X . 131

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. Suppose that the Palmetto Urgent Care Center advertises a mean wait to be seen by a physician on weekday evenings of 45 minutes. Suppose that the actual wait time is uniformly distributed between 0 and 90 minutes. a. You (unfortunately) had to go to the center one weekday evening and you waited 55 minutes before being seen a physician. What is the probability of a single patient waiting 55 minutes or longer if Palmetto UCC’s claims about waiting times are true? b. Suppose that an audit was conducted in which records for 36 people who went to the Palmetto UCC were randomly sampled and the wait time for each recorded. The mean waiting time for the 36, X , was 55 minutes. What is the probability that a random sample of 36 patients would have a mean waiting time of 55 minutes or longer if Palmetto UCC’s claims about waiting times are true? 132
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## This note was uploaded on 06/06/2011 for the course MGSC 291 taught by Professor Rollins during the Fall '09 term at South Carolina.

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pp.131-140 fall 2009 - 131 The following examples will be...

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