The distribution of weights of potato chip bags filled off a production line is unknown. However, the mean is m=13.35 OZs and the standard deviation is s=.1200 OZs. To check the quality of the potato chip bags, a random sample of n=36 bags is selected. Use `X to denote the sample mean.

1. The mean (or expected value) of the sample mean `X is:

a. 13.23
b. 13.00
c. 13.47
d. 13.50

2. The standard deviation of the sample mean `X is

a. 0.0200
b. 0.1200
c. 0.0600
d. 0.3600
e. none of the above

3. The probability that the sample mean `X is less than or equal to 13.38 OZs is closest to

a. 0.0668
b. 0.0998
c. 0.4332
d. 0.9332
e. none of the above

4. The probability that the sample mean `X is less than or equal to 13.32 OZs is closest to

a. 0.0668
b. 0.0998
c. 0.4332
d. 0.9332
e. none of the above

5. The probability that the sample mean `X is between 13.30 and 13.36 OZs is closest to

a. 0.0062
b. 0.3085
c. 0.6853
d. 0.4938
e. none of the above

(1) The mean (or expected value) of the sample mean `X = 13.35

(2) The standard deviation of the sample mean `X  = .02

(3) The probability that the sample mean `X is less than or equal to 13.38 OZ = .9332

(4) The probability that the sample mean `X is less than or equal to 13.32 OZ = .0668

(5) The probability that the sample mean `X is between 13.30 and 13.36 OZ = .6853

Step-by-step explanation:

mean  =13.35

Standard deviation  = .1200

n  = 36

The mean (or expected value) of the sample mean `X

= 13.35

The standard deviation of the sample mean `X =

  =   =  .02

The probability that the sample mean `X is less than or equal to 13.38 OZ=

=    [  Z = ]

                      =      Using Z table

                       =  .9332

. The probability that the sample mean `X is less than or equal to 13.32 OZ =

=

                      =  

                       =  .0668

The probability that the sample mean `X is between 13.30 and 13.36 OZ =

=

                                   =

                                    = .6915 - .0062

                                    = .6853

add 5 subtract 1

step-by-step explanation: