Question

Use the following data for problems 7 and 9.

The number of ounces of water is a water bottle is normally distributed with a mean of 16.9oz and a standard deviation of 0.25oz.

1. What is the probability that a randomly selected water bottle will have exactly 16.8oz of water in it?
   1. 0.3446
   2. 0.6554
   3. 0.0000
   4. 0.2500

2. What is the probability that a randomly selected water bottle with have between 16.7oz and 17.18oz of water in it?
   1. 0.7500
   2. 0.3432
   3. 0.0000
   4. 0.6568

3. If a control chart shows special causes of variation it may exhibit:
   1. At least one data point above the upper control limit
   2. No points above the upper control limit or below the lower control limit
   3. At least eight consecutive points above the center line
   4. Both A and C are correct

Answer 1

Answei page: 0 mean = 16,902 (4) standard deviation = 0.2502 (0) 1) probability that a rondomly selected water bottle will have exactly 16. 8oz & coater P(x = [6.8oz): 2. From normally distribution plz = a). 2-8 p(x = 16.802) 5 z 16.8-16.9 : : 0.25 = 0.25 -0,1 0:25 Z = -0,4 From normal distribution , standard z table the area under left 16.8 16.9

at z page: 02 = -0,4 = 0.34457 alea area = 0.32146. P(Z = -0.4) = 0.34461 option (A) is correct. 2) probability that a randomly selected water bottle with have Values between 16, 702 and 17. 18oz of water (16 oz < X <17.18 oz) From normal distribution (76)]: 94 7 = 16.7 16.7 -16.9 0.25 -0.2 0.25 ->-0.8 16.7 16.9 the From area 4 normal distribution, standard z table the left earre at -0,8 = 0.21185

page:03 Similarly at z = 17.18 =-) 17.18-16,9 0.25 0.28 0.25 =) 1.12 From normal distribution , standard z table the area the night curve. at, 1.12 = 0.8686 p= (-0.8 <z«1.12) - plz=112) - plz = -08) 20. 8686 -0.2118 0.6568 Ipl 16.7 <x<17.18) = 0.6568 s option(s) is (ohnecke (3) ita contorc choont shows special causes of variation it may exhibit . ) at least one data point above the upper control limit (c) At least eight consective points above the center line both a ande are connect