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

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) (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.

RELATED QUESTIONS
Please help me solve this problem. Thank you! The mean weight of loads of rock is (answered by ikleyn)

The mean weight of loads of coal placed in train cars by a loading machine is 43.0 tons... (answered by stanbon)

The mean weight of loads of brick is 46.0 tons with a standard deviation of 8 tons. 25... (answered by stanbon)

Please help me solve this, thank you! A random sample of 20 cans of milk showed an... (answered by ewatrrr)

Please help me answer this question. A random sample of 121 men regarding IQ scores... (answered by ewatrrr)

The mean weight of trucks traveling on a particular highway road is not known. A highway... (answered by Boreal)

help Im am completely lost! weights of a certain model of fully loaded gravel trucks... (answered by rothauserc)

If X has a normal distribution with mean 80 and standard deviation 12, what is the... (answered by stanbon)

Respected Sir / Mam , Please help me to solve this question. I will be very grateful for (answered by MathLover1)