Chapter 6 Section 64 Problem 36b Incorrect Suppose the conte

Chapter 6, Section 6.4, Problem 36b Incorrect. Suppose the contents of bottles of water coming off a production line have a normal distribution with mean 7.1 ounces and standard deviation 0.2 ounce. If only 0.6% of the bottles exceed weight w, what is the value of w? Compute probabilities using the standard normal table in Appendix B (Table 3). Round the answer to one decimal place.

Solution

alpha=0.6/100=0.006

Required z=z(1-0.006)=z(0.994) = 2.51

Therefore,

(X-7.1)/0.2 = 2.51

Therefore,

X=7.602