In: Statistics and Probability
1, Find the Z-scores that separate the middle 59% of the distribution from the area in the tails of the standard normal distribution..
The Z-scores are
2, The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips.
(a) What is the probability that a randomly selected bag contains between 1000 and 1400
chocolate chips?
(b) What is the probability that a randomly selected bag contains fewer than 1100 chocolate chips?
(c) What proportion of bags contains more than 1200 chocolate chips?
(d) What is the percentile rank of a bag that contains 1025 chocolate chips?
3, The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with mean 1263 and a standard deviation of 118.
(a) Determine the 26th percentile for the number of chocolate chips in a bag.
(b) Determine the number of chocolate chips in a bag that make up the middle 97% of bags.
(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate chip cookies?