Download Applications of the Normal Distribution

Applications of the Normal Distribution and Sampling Distribution
The number of chocolate chips in an 18 ounce bag of a particular brand of chocolate chip cookies is
approximately normally distributed with a mean of 1262 chips, and a standard deviation of 118 chips.
1.
What is the probability that a randomly selected 18 oz bag of this brand of chocolate chip cookies
contains between 1000 and 1400 chocolate chips?
2.
What is the probability that a randomly selected 18 oz bag of this brand of chocolate chip cookies
contains fewer than 1000 chocolate chips?
3.
What proportion of 18 oz bags of this brand of chocolate chip cookies contain more than 1200
chocolate chips?
4.
Determine the 30th percentile, P30, for the number of chocolate chips in 18 ounce bags of these
cookies.
5.
Determine the 99th percentile, P99, for the number of chocolate chips in 18 ounce bags of these
cookies.
6.
Five percent of the 18 ounce bags of this brand of cookies have a number of chocolate chips above
what value?
7.
(Work this only after section 5.4) If a sample of 35 bags of 18 oz chocolate chip cookies of this
brand is randomly selected, what is the probability that the mean number of chocolate chips in this
sample is above 1289?
Answers using normal table (from TI83, if different):
1.
0.8658 (0.8657)
2.
0.0132
3.
0.7019 (0.7004)
4.
1200.64 (1200.12)
5.
1536.94 (1536.51)
6.
1456.11 (1456.09)
7.
0.0885 (0.0879)