Problem 46

N(98.2,0.7)

  1. Between 97.5 degrees and 98.9 degrees would inclues ‘most’ people, with 68% of the people.

pnorm(98.6,98.2,0.7,lower.tail = F)
## [1] 0.2838546
qnorm(0.2,98.2,0.7)
## [1] 97.61087

Problem 48

N(74,x)

qnorm(0.11,0,1)
## [1] -1.226528

-1.23=(70-74)/s s=3.25

  1. N(74,3.25)
qnorm(0.04,0,1)
## [1] -1.750686

z=-1.75

-1.75=(70-m)/3.25

mean = 75.7 grams

  1. N(75,x)
qnorm(0.04,0,1)
## [1] -1.750686

z=-1.75

-1.75=(70-75)/s s=2.85 grams

  1. The origninal tomatoes were frequently more undersized than the new tomatoes. This is due to a higher average weight and a lower standard deviation. The new tomatoes are better value, since its more likely you will get more grams per a tomato.