Question

Question 5:

Baby weights: The weight of male babies less than

2

months old in the United States is normally distributed with mean

11.6

pounds and standard deviation

2.8

pounds. Use the TI-84 Plus calculator to answer the following.

(a) What proportion of babies weigh more than

13

pounds?

(b) What proportion of babies weigh less than

15

pounds?

(c) What proportion of babies weigh between

9

and

13.2

pounds?

(d) Is it unusual for a baby to weigh more than

17.1

pounds?

Round the answers to four decimal places.

Part 1 of 4

The proportion of babies weighing more than 13 pounds is .

Part 2 of 4

The proportion of babies weighing less than 15 pounds is .

Part 3 of 4

The proportion of babies weighing between 9 and 13.2 pounds is .

Part 4 of 4

▼(Choose one), because the probability that a baby weighs more than 17.1 pounds is .

Answer 1

a) p(x>13) = 1 - value of z to the left of0.5

= 1 - 0.6915 = 0.3085

b) p(x<15) = value of z to the left of1.21 = 0.8869

c) P(9 < X< 13.2)

for x= 9,

For x= 13.2,

P(9 < X< 13.2)= value of z at 0.57 - value of z at -0.93

P(9 < X< 13.2)= 0.7157 - 0.1762 = 0.5395

d) p(x>17.1) ,

p(x>17.1)= 1 - 0.975= 0.025

Which is far from 95% of data , we can say it is unusual

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