Question 8 1 pts

In response I change the name of my restaurant to Gnagey's Gnervy Pizza (why I did not use Gnagey's Gnatural Pizza I will never know), which is immediately a hit. According to my analysis of a sample of 25 weeks, I sell an average of 242 Gnecterine and Gnutmeg pizzas per week! I find that the sample standard deviation is 56 pizzas.

Suppose I build a slight margin in, and buy enough ingredients to last over the year if my true average is anywhere less than 250 Gnecterine and Gnutmeg pizzas per week.

What is the probability that I will run out of ingredients? (that is, what is the probability that my true average number of Gnecterine and Gnutmeg pizzas is greater than 250?)

(round to four decimals, e.g. 0.5743)