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Raftelis Financial Consulting reported that the mean quarterly water bill in the United States is $47.50 (U.S. News && World Report, August 12, 2002). Some water systems are operated by public utilities, whereas other water systems are operated by private companies. An economist pointed out that privatization does not equal competition and that monopoly powers provided to public utilities are now being transferred to private companies. The concern is that consumers end up paying higher-than-average rates for water provided by private companies. The water system for Atlanta, Georgia, is provided by a private company. A sample of 64 Atlanta consumers showed a mean quarterly water bill of $51 with a sample standard deviation of $12. At = .05, does the Atlanta sample support the conclusion that above-average rates exist for this private water system?
a. State your hypotheses.H0:Ha:
b. What is the t statistic (to 2 decimals)?
c. The p-value is
d. Can you conclude that above-average rates exist for this private water system?
The management of a department store is interested in estimating the difference between the mean credit purchases of customers using the store's credit card versus those customers using a national major credit card.
Two fair six-sided dice are tossed independently. Let X be value of first die, and Y value of second. Find out the expectations of following random variables.
Difference between the discrete and the continuous random variable.
If a filled container of juice is selected at random, what is the probability that it was filled on machine I and is a conforming container?
A simple random sample of 6 recent graduates revealed the following information about their weekly incomes. What is the expected value of the average weekly income of all the recent graduates?
Find out the mean to the nearest whole number, for the following list of numbers: 20, 43, 67, 52, 67, 44, 62, 90, 21, 19, 15
We wish to determine whether the homicide rate is different in different parts of the country and, if it is different, what is the pattern. We have data on 36 states - 9 each in the four regions Northeast, Midwest, South and West.
Observations was x ¯ = 119.8 (actually 119.7692), and the 14th observation, somewhat of an outlier, was 158. What is the value of x ¯ for the entire sample?
Suppose probability that person has desease is 0.06 for all people, independently of each other, and calculate expected number of tests essential for each group.
Only two doctors would make a diagnosis on patients coming into the same STD clinic for gonorrhea. The probability of the two doctors making a diagnosis of gonorrhea is (independent, dependent, synergistic, cannot tell).
How large a sample is needed to estimate the true proportion of covered children with 90% confidence with a confidence interval of .05.
James Burke claims that about 70% of all single men would welcome a women taking the initiative in asking for a date. A random sample of 20 single men were asked if they would welcome a women taking the initiative in asking for a date.
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