Watchdog agency selecting a random sample of taxpayers

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According to an IRS study, it takes a mean of 330 minutes for taxpayers to prepare, copy and electronically file a 1040 tax form. The distribution of times follows the normal distribution and the standard deviation is 80 minutes. A consumer watchdog agency selects a random sample of 40 taxpayers.

a. What is the standard error of the mean in this example ?

b. What is the likelihood the sample mean is greater than 320 minutes ?

c. What is the liklihood the sample mean is between 320 and 350 minutes ?

d. What is the likelihood the sample mean is greater than 350 minutes ?

Reference no: EM1398327

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