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According to the Internal Revenue Service, the average length of time for an individual to complete...

According to the Internal Revenue Service, the average length of time for an individual to complete (keep records for, learn, prepare, copy, assemble, and send) IRS Form 1040 is 10.26 hours (without any attached schedules). The distribution is unknown. Let us assume that the standard deviation is two hours. Suppose we randomly sample 36 taxpayers.

1. Give the distribution of X. (Round your answers to two decimal places.)

X ~ N(10.26, ___?___)

2. Find the probability that the 36 taxpayers took an average of more than 12 hours to finish their Form 1040s. (Round your answer to four decimal places.)

3. Would you be surprised if the 36 taxpayers finished their Form 1040s in an average of more than 12 hours? Explain why or why not in a complete sentence.

a. Yes, because the probability is very close to 0. OR

b. No, because the probability is very close to 1.

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