1.- the following data show the number of hours spent watching television for 10 randomly selected freshmen attending a liberal arts college in the Midwest.

Hours of Television Viewed Weekly

12

19

19

18

18

16

13

19

19

14

Calculate the range, variance, standard deviation, and interquartile range for the sample data.

The range for the data set is ?

(integer or a decimal. Do not round.)

The sample variance, s2, is ?

(Round to two decimal places as needed.)

The sample standard deviation, s, is ?

(Round to two decimal places as needed.)

The interquartile range for the data set is ?

( integer or a decimal. Do not round.)

2.- Doggie Nuggets Inc. (DNI) sells large bags of dog food to warehouse clubs. DNI uses an automatic filling process to fill the bags. Weights of the filled bags are approximately normally distributed with a mean of 31 kilograms and a standard deviation of 1.15 kilograms. Complete parts a through d below.

a. What is the probability that a filled bag will weigh less than 30.5 kilograms?The probability is ?

(Round to four decimal places as needed.)

b. What is the probability that a randomly sampled filled bag will weigh between 30.1 and 32 kilograms?The probability is ?

(Round to four decimal places as needed.)

c. What is the minimum weight a bag of dog food could be and remain in the top 10% of all bags filled?The minimum weight is ? kilograms.

(Round to three decimal places as needed.)

d. DNI is unable to adjust the mean of the filling process.However, it is able to adjust the standard deviation of the filling process. What would the standard deviation need to be so that no more than 5% of all filled bags weigh more than 35 kilograms?The standard deviation would need to be ? kilograms.

(Round to three decimal places as needed.)