Question 1171715
the std deviation of the sample mean with 49 in a sample is 21/sqrt(49) or 3
z=(x-mean)/sd
for 441, the z value is -7/3; for 446, the z value is -2/3
the probability (and answer) is 0.2427
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for 500, z is (500-448)/21 or > 52/21. That probability is 0.0066.