SOLUTION: Please help me solve this question, thank you! The mean weight of loads of rock is 4.16 tons with a standard deviation of 1.68 tons. If 14 loads are chosen at random for a we

Algebra ->  Probability-and-statistics -> SOLUTION: Please help me solve this question, thank you! The mean weight of loads of rock is 4.16 tons with a standard deviation of 1.68 tons. If 14 loads are chosen at random for a we      Log On


   



Question 1203245: Please help me solve this question, thank you!
The mean weight of loads of rock is 4.16 tons with a standard deviation of 1.68 tons.
If 14 loads are chosen at random for a weight check, find the probability (as percent) that the mean weight of those loads is NO less than 3.902 tons. Assume that the variable is normally distributed.
The probability is: %
(Round your answer to the nearest whole percent)

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
population mean is 4.16 tons
standard deviation is 1.68 tons
sample size is 14
standrd error is 1.68 / sqrt(14) = .449.
mean weight not less than 3.902 means mean weight greater than or equal to 3.902.
use of the same calculator used in the previous calculatgor gets you a probability of 0.7172 = 71.72% that the mean weight of the sample is not less than 3.902.

here are the results of using that calculator.