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Probability and Statistics Could you please solve the following questions with specifying the answers A. The...

Probability and Statistics

Could you please solve the following questions with specifying the answers

A. The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 266 days and standard deviation 16 days. About 68% of all pregnancies last between

a. 250 and 282 days          b. 234 and 298 days           c. 218 and 314 days      d. 250 and 266 days

B. The distribution of actual weights of chocolate bars produced by a certain machine is approximately Normal with mean 8.2 ounces and standard deviation of 0.1 ounces. What proportion of chocolate bars weigh under 8 ounces?

a. 13.5%       b. 34%        c. 16%       d. 2.5%

C. Sixteen weighings of a small object on a sensitive scale result in 5.15 grams 4 times, 5.35 grams 4 times, 5.20 grams, 4 times and 5.30 grams 4 times, 16 total. If the standard deviation σ of weighings on this scale is .8 grams, what is an approximate 95% confidence interval for the true weight of the object?

  1. 5.25 ±.4         b. 5.25 ±.2        c.  5.25 ±.8       d.  5.20 ±.2
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