CHAPTER 3 NON REGEN Graph I Graph II Graph III Graph IV b Us

CHAPTER 3 NON REGEN

Graph I.

Graph II.

Graph III.

Graph IV.

(b) Use Table A in the text to find the proportion of observations with values less than 2.85. (This is the proportion satisfying z < 2.85)

Answer to 4 decimal places.

2. (a) In which of the standard Normal curves shown below does the shaded area represent the proportion of observations with values between -1.66 and 2.85 (-1.66 < z < 2.85)?

Graph I.

Graph II.

Graph III.

Graph IV.

(b) Use Table A in the text to find the proportion of observations with values between -1.66 and 2.85. (This is the proportion satisfying -1.66 < z < 2.85)

Answer to 4 decimal places.

3. In each density curve shown below, determine which points represent the mean and the median?

-Point A. Point B. Point C.  Mean

-Point A. Point B. Point C.  Median

-Point A. Point B. Point C.  Mean

-Point A. Point B. Point C.  Median

-Point A. Point B. Point C.  Mean

-Point A. Point B. Point C.  Median

PICK EITHER POINT A,B,C, FOR BOTH MEAN AND MEDIAN

4. The daily milk production of a herd of cows is assumed to be Normally distributed with a mean of 31 liters, and standard deviation of 8 liters.

A) On what proportion of days is daily production less than 53.4 liters?

Answer= (Round your answer to 3 decimal places.)

B) On what proportion of days is production more than 53.7 liters?

Answer= (Round your answer to 3 decimal places.)

5.The lengths of pregnancies in a small rural village are Normally distributed with a mean of 266 days and a standard deviation of 15 days.

What percentage of pregnancies last beyond 253 days?
P(X > 253 days) =  %

Enter your answer as a percent accurate to 1 decimal place (do not enter the \"%\" sign). Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

6.A company knows that replacement times for the quartz time pieces it produces are Normally distributed with a mean of 10.7 years and a standard deviation of 1.6 years.

Find the proportion of a randomly selected quartz time pieces that will have a replacement time less than 7.8 years?
P(X < 7.8 years) =

Enter your answer accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

If the company wants to provide a warranty so that only 3.5% of the quartz time pieces will be replaced before the warranty expires, what is the time length of the warranty?

warranty = ____ years

Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Solution

1.