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A bank with a branch located in a commercial district of a city has developed an improved process for serving customers during the noon to 1.00 pm lunch period. The waiting time (defined as the time elapsed from when the customer enters the line until he or she reaches the teller window) of all customers during this hour is recorded over a period of one week. A random sample of 15 customers is selected, and the results (in minutes) are as follows:
4.21 5.55 3.02 5.13 4.77 2.34 3.54 3.20 4.50 6.10 0.38 5.12 6.46 6.19 3.79
Suppose that another branch located in a residential area is also concerned with the noon to 1.00 pm lunch period. A random sample of 15 customers is selected, and the results are as follows:
9.66 5.90 8.02 5.79 8.73 3.82 8.01 8.35 10.49 6.68 5.64 4.08 6.17 9.91 5.47
a) Is there evidence of a difference in the variability of the waiting time between the two branches? (Use 5% level of significance).b) Find the p-value in (a) and interpret its meaning.c) What assumption is necessary in (a)? Is the assumption valid for these data?
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New population of pilots has normally distributed weights with mean of 128 lb and standard deviation of 31.7 lbs. If the pilot is randomly selected, determine the probability that his weight is between 120 lb and 181 lb.
Choose a person aged 19 to 25 years at random and ask, "how many times have you worked out in the past?" Call the response X for short.
A manufacturer of batteries is considering three new battery designs. An attempt was made to determine whether the mean lifetime in hours is the same for each of the three designs.
Determine the probability of a positive economic trend given an increasing employment. Are employment and economic trend independent?
Schadek Silkscreen Printing, Inc. purchases plastic cups on which to print logos for sporting events, proms, birthdays, and other special occasions. What is the estimated proportion defective in the population?
He would like to determine whether there are more units produced on the afternoon shift than on the day shift.
What is the probability that no requests for assistance are in the system? What is the average number of requests that will be waiting for service? What is the average waiting time in minutes before service begins?
They found that those with higher levels of cigarette use had lower GPAs, and vice versa. What can you rightfully conclude from this? Why? Be specific about what this kind of information may indicate and mean.
A mean score on a standardized test is 50 with a standard deviation of 10. Answer the following:
The probability that home sales will increase in the next 6 months is 0.25. The probability that the interest rates on loans will go up in the same period is estimated to be 0.74.
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