1. Hamster weights are normally distributed with = 10 lbs. and = - - PDF document

▶

Dec 30, 2023 345 likes •473 views

CLT Review.notebook December 02, 2015 1. Hamster weights are normally distributed with = 10 lbs. and = 3.5 lbs. a. I randomly select 1 hamster. What is the probability that it weighs less than 6.5 lbs? 1 CLT Review.notebook December

SLIDE 1

CLT Review.notebook 1 December 02, 2015

1. Hamster weights are normally distributed

with μ = 10 lbs. and σ = 3.5 lbs.

a. I randomly select 1 hamster. What is the

probability that it weighs less than 6.5 lbs?

SLIDE 2

CLT Review.notebook 2 December 02, 2015

1. Hamster weights are normally distributed

with μ = 10 lbs. and σ = 3.5 lbs.

b. If 40 hamsters are randomly selected, what is

the probability that these hamsters have an average weight greater than 11 lbs?

SLIDE 3

CLT Review.notebook 3 December 02, 2015

2. Men’s heights are normally distributed with μ =

69.5 inches and σ = 2.5 inches.

a. Find the probability that a randomly selected

male is taller than 72 inches.

2. Men’s heights are normally distributed with μ =

69.5 inches and σ = 2.5 inches.

a. Find the probability that a randomly selected

male is taller than 72 inches.

2. Men’s heights are normally distributed with μ =

69.5 inches and σ = 2.5 inches.

a. Find the probability that a randomly selected

male is taller than 72 inches.

SLIDE 4

CLT Review.notebook 4 December 02, 2015

2. Men’s heights are normally distributed with μ =

69.5 inches and σ = 2.5 inches.

b. Find the probability that 10 selected men have

an average height greater than 70 inches.

SLIDE 5

CLT Review.notebook 5 December 02, 2015

2. Men’s heights are normally distributed with μ =

69.5 inches and σ = 2.5 inches.

c. Find the probability that 20 selected men have

an average height less than 68 inches.

SLIDE 6

CLT Review.notebook 6 December 02, 2015

3. The weights of newborn children in the

United States vary according to the normal distribution with mean 7.5 pounds and standard deviation 1.25 pounds. The government classifies a newborn as having low birth weight if the weight is less than 5.5 pounds.

a. What is the probability that a baby chosen

at random weighs less than 5.5 pounds at birth?

SLIDE 7

CLT Review.notebook 7 December 02, 2015

3. The weights of newborn children in the

United States vary according to the normal distribution with mean 7.5 pounds and standard deviation 1.25 pounds. The government classifies a newborn as having low birth weight if the weight is less than 5.5 pounds.

You choose three babies at random and compute their mean weight, .

b. What are the mean and standard deviation of the mean

weight of the three babies?

SLIDE 8

CLT Review.notebook 8 December 02, 2015

3. The weights of newborn children in the

United States vary according to the normal distribution with mean 7.5 pounds and standard deviation 1.25 pounds. The government classifies a newborn as having low birth weight if the weight is less than 5.5 pounds.

You choose three babies at random and compute their mean weight, .

c. What is the probability that their average birth weight is less

than 5.5 pounds?

SLIDE 9

CLT Review.notebook 9 December 02, 2015

4. Bunny weights are normally distributed with a

mean weight of 5 lbs and a σ = 0.5 lbs. If 10 bunnies are randomly selected, find the probability that the average from these 10 bunnies is between 4.8 and 5.5 pounds.

SLIDE 10

CLT Review.notebook 10 December 02, 2015

5. A certain beverage company is suspected of underfilling its

cans of soft drink. The company advertises that its cans contain, on the average, 12 ounces of soda with standard deviation 0.4 ounce. Compute the probability that a random sample of 50 cans produces a sample mean fill of 11.9 ounces or less.

SLIDE 11

CLT Review.notebook 11 December 02, 2015