Lesson 5.6 Normal Model HW due 2/21

The weights of newborn babies are normally distributed with a mean of 6.7 pounds and a standard deviation of 1.2 pounds.

a. z-score for a 7 lb baby =

b. What proportion of babies weigh less than 7 lbs?

c. What proportion of babies weight more than 7 lbs?

The weights of newborn babies are normally distributed with a mean of 6.7 pounds and a standard deviation of 1.2 pounds.

What proportion of babies will weigh between 5.8 and 8.3 pounds?

a. The z score for a 5.8 pound baby =

b. What proportion of babies weigh less than 5.8 lbs?

c. The z score for an 8.3 pound baby =

d. What proportion of babies weigh less than 8.3 lbs?

e. What proportion of babies weigh between 5.8 and 8.3 pounds?

The weights of boxer puppies is normally distributed with a mean of 15.6 grams and a standard deviation of 2.3 grams.

a. What is the z score for a 15 gram puppy? Remember to round to two places past the decimal point.

b. What proportion of boxer puppies weigh less than 15 grams?

c. What proportion of boxer puppies weigh more than 15 grams?

The weights of boxer puppies is normally distributed with a mean of 15.6 grams and a standard deviation of 2.3 grams. We are interested in the proportion of puppies that weigh between 10.6 and 18.5 grams.

a. What is the z score for a 10.6 gram puppy? Remember to round to two places past the decimal point.

b. What proportion of boxer puppies weigh less than 10.6 grams?

c. What is the z score for an 18.5 gram puppy?

d. What proportion of boxer puppies weigh less than 18.5 grams?

e. What proportion of boxer puppies weight between 10.6 and 18.5 grams?

Following a normal distribution, the mean number of sunflower seeds harvested from a sunflower is 349 seeds with a standard deviation of 29 seeds.

a. What is the z score for a sunflower that produces 375 seeds?

b. What percent of sunflowers will produce less than 375 seeds?

Following a normal distribution, the mean number of sunflower seeds harvested from a sunflower is 349 seeds with a standard deviation of 29 seeds.

a. What is the z score for a sunflower that produces 315 seeds?

b. What percent of sunflowers will produce more than 315 seeds?

Following a normal distribution, the mean number of sunflower seeds harvested from a sunflower is 349 seeds with a standard deviation of 29 seeds.

Find the proportion of sunflowers that will produce from 300 to 400 seeds.

a. What percent of sunflowers will produce less than 300 seeds?

c. What percent of sunflowers will produce less than 400 seeds?

d. What percent of sunflowers will produce from 300-400 seeds?