2. Ten randomly selected shut-ins were each asked to list how many hours of television they watched per week. The results were:

82 66 100 84 75 88 82 94 110 91

a. Find x-bar b. Find s c. How many degrees of freedom will you use?

d. Determine the 99% Confidence interval estimate for the mean number of hours of television watched per week by shut-ins. Assume the number of hours is normally distributed.

e. What is the length of the 99% CI?

f. Based on the Confidence interval, would you reject Ho: u = 75 at alpha=1% ?

**explain **

**A_____________B_______________C____________D___________E_______ **

**F_______________________________________________________________**

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- A cab driver knows from experience that the number of fares he

will pick up in an evening is a random variable with u = 21 and standard

deviation = 3.4. Assuming that the distribution of this random

variable can be approximated closely with a normal curve, find the probabilities that in an evening the driver will pick up (a) at least 30 fares (b) anywhere from 20 to 25 fares (including 20 and 25) . Since the number of fares is a discrete random variable, and we are using a normal curve, we will need continuity corrections on both parts a and b above. These continuity corrections are given below.

a) P(At least 30 fares) = P(X greater than or equal to 30)= P(X>29.5) after continuity correction. Please find this probability.

b) P(between 20 and 25 fares inclusive) = P(19.5<X<25.5) after a continuity correction. Please find this probability.

- A major truck stop has kept extensive records of various transactions with its customers. If a random sample of 15 of these records shows average sales of 63.9 gallons of diesel fuel with a standard deviation of 5.6 gallons, construct a 95% CI for the truck stop's average sales of diesel fuel.

**ANSWER 3 A___________________B________________________ **

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**ANSWER 4 _____________________**

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Subject | Mathematics |

Due By (Pacific Time) | 04/22/2013 10:00 am |

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