Session III Quiz
Concordia University/Green Bay Site
Session III Quiz
By
Brad Skenandore
Professor Francois
AL 169 Statistical Methods
20 January 2014
Honor Pledge
As I develop in mind, body, and spirit, I pledge on my honor that I have not given, received, witnessed, nor have knowledge of unauthorized aid on this or [assignment, quiz, paper, test]. 2
Pg 212 #14) A normal population has a mean of 12.2 and a standard deviation of 2.5.
A) Compute the z value associated with 14.3.
- z = (14.3 – 12.2)/2.5 z value is .84
B) What proportion of the population is between 12.2 and 14.3?
- Looking for .84 on the curve ti would be .2995
C) What proportion is less than 10.0?
- (10 – 12.2)/2.5 gives a z value of -.88. -.88 on curve is .3106. Then taking .5000 -.3106 we get the proportion being .1894.
Pg 219 #34) The time patrons at the Grande Dunes Hotel in the Bahamas spend waiting for an elevator follows a uniform distribution between 0 and 3.5 minutes.
A) Show the area under the curve is 1.00.
- The area of the curve equals 1 so if the question states that the times are always between 0 and 3.5 minutes means that everything falls in the curve which equals 1.
B) How long does the typical patron wait for elevator service?
- The typical wait time (or mean) for elevator service would be (0 + 3.5)/2 = 1.75 (1hr 45 minutes if changing to time) in minutes
C) What is the standard deviation of the waiting time?
- SD = square root of (3.5 – 0)exponent 2/ 12 or square root of 1.0208 = 1.0103
D) What percent of the patrons wait for less than a minute?
- To find the percent we use the equation (1 – 1.75)/1.0103 = -.74. -.74 on the curve is .2704. Now doing the equation .5000 - .2704 we get the answer of .2296 or approximately 23% wait less than a minute.
E) What percent of the patrons wait
Session III Quiz
By
Brad Skenandore
Professor Francois
AL 169 Statistical Methods
20 January 2014
Honor Pledge
As I develop in mind, body, and spirit, I pledge on my honor that I have not given, received, witnessed, nor have knowledge of unauthorized aid on this or [assignment, quiz, paper, test]. 2
Pg 212 #14) A normal population has a mean of 12.2 and a standard deviation of 2.5.
A) Compute the z value associated with 14.3.
- z = (14.3 – 12.2)/2.5 z value is .84
B) What proportion of the population is between 12.2 and 14.3?
- Looking for .84 on the curve ti would be .2995
C) What proportion is less than 10.0?
- (10 – 12.2)/2.5 gives a z value of -.88. -.88 on curve is .3106. Then taking .5000 -.3106 we get the proportion being .1894.
Pg 219 #34) The time patrons at the Grande Dunes Hotel in the Bahamas spend waiting for an elevator follows a uniform distribution between 0 and 3.5 minutes.
A) Show the area under the curve is 1.00.
- The area of the curve equals 1 so if the question states that the times are always between 0 and 3.5 minutes means that everything falls in the curve which equals 1.
B) How long does the typical patron wait for elevator service?
- The typical wait time (or mean) for elevator service would be (0 + 3.5)/2 = 1.75 (1hr 45 minutes if changing to time) in minutes
C) What is the standard deviation of the waiting time?
- SD = square root of (3.5 – 0)exponent 2/ 12 or square root of 1.0208 = 1.0103
D) What percent of the patrons wait for less than a minute?
- To find the percent we use the equation (1 – 1.75)/1.0103 = -.74. -.74 on the curve is .2704. Now doing the equation .5000 - .2704 we get the answer of .2296 or approximately 23% wait less than a minute.
E) What percent of the patrons wait