3. Assuming weights of female athletes are normally distributed with a mean o 40 lbs and a standard deviation of 15 lbs, what is the probability that a random elected female athlete weighs more than 170 Ibs? Round to 3 decimal places. Iso, is the probability above the same as the probability that a randomly elected sample of size n (where n>1) has a mean weight more than 170 Ibs?

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13. Assuming weights of female athletes are normally distributed with a mean of
140 Ibs and a standard deviation of 15 lbs, what is the probability that a randomly
selected female athlete weighs more than 170 Ibs? Round to 3 decimal places.
Also, is the probability above the same as the probability that a randomly
selected sample of size n (where n>1) has a mean weight more than 170 Ibs?
a. 0.023; yes, these two probabilities would be the same
b. 0.023; no, these two probabilities would not be the same
O c. 0.977; yes, these two probabilities would be the same
d. 0.977; no these two probabilities would not be the same
Transcribed Image Text:13. Assuming weights of female athletes are normally distributed with a mean of 140 Ibs and a standard deviation of 15 lbs, what is the probability that a randomly selected female athlete weighs more than 170 Ibs? Round to 3 decimal places. Also, is the probability above the same as the probability that a randomly selected sample of size n (where n>1) has a mean weight more than 170 Ibs? a. 0.023; yes, these two probabilities would be the same b. 0.023; no, these two probabilities would not be the same O c. 0.977; yes, these two probabilities would be the same d. 0.977; no these two probabilities would not be the same
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