Project #4627 - Statistics

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_______________________________________________________________

 

________________________________________________________________

  1. 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.

 

 

 

 

 

  1. 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________________________

 

            ANSWER 4   _____________________

 

 

 

 

 

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