Recent studies indicate that the typical 50-year-old woman spends $359 per year
ID: 1107849 • Letter: R
Question
Recent studies indicate that the typical 50-year-old woman spends $359 per year for personal-care products. The distribution of the amounts spent follows a normal distribution with a standard deviation of $48 per year. We select a random sample of 46 women. The mean amount spent for those sampled is $329.
What is the likelihood of finding a sample mean this large or larger from the specified population? (Round z value to 2 decimal places and final answer to 4 decimal places.)
Recent studies indicate that the typical 50-year-old woman spends $359 per year for personal-care products. The distribution of the amounts spent follows a normal distribution with a standard deviation of $48 per year. We select a random sample of 46 women. The mean amount spent for those sampled is $329.
Explanation / Answer
Z = 329-359 / 48/sqrt46
=-30/7.077
=-4.24 or -4.2390
P = .5 + 0.499989 = 0.999989
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