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Homework answers / question archive / A psychologist studied the time X (in seconds) it took a subject to complete a pencil and paper maze while in the presence of a floral scent

A psychologist studied the time X (in seconds) it took a subject to complete a pencil and paper maze while in the presence of a floral scent

Statistics

A psychologist studied the time X (in seconds) it took a subject to complete a pencil and paper maze while in the presence of a floral scent. Suppose X has a normal distribution with a mean of 66 seconds and a standard deviation of 14 seconds.

If 4 of these subjects are chosen at a random, what is the probability that their average (or mean) time to complete this task is less than 50 seconds?

Begin with a diagram showing the density curve with relevant are shaded.

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