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A Federal funding program is available to low income neighborhoods. To qualify for the funding a neighborhood must have a mean household income of less then $15,000 per year. Neighborhoods with mean household income of $15,000 or more do not qualify. Funding decisions are based on a sample of residents in the neighborhood. A hypothesis test with a .02 level of significance is conducted. If the funding guidelines call for a maximum probability of .05 of not funding neighborhood with a mean annual household income of $14,000, what sample size should be used in the funding decision study? Use sigma = $4000 as a planning value.
A company produces two products that are processed on two assembly lines. Assembly line 1 has 100 available hours, and assembly line 2 has 42 available hours.
If light bulbs have lives that are normally distributed with a mean of 2500 hours and a standard deviation of 500 hours, what percentage of light bulbs have a life less than 2500 hours?
A manufacturer of batteries for "kids' toys" wishes to investigate the length of time a battery will last. Tests results on a sample of 10 batteries indicated a sample mean of 5.67 and a sample standard deviation of 0.57.
Find the probability density function of U + V. Let P = 2U + 3V and Q = 2U - 3V. Given that the variances of U and V are 1/4 and 1/9 respectively, show that P and Q are uncorrelated.
Find the probability of getting a queen and a spade.
At the .01 significance level, can we conclude that there is more variation?
A random sample of 60 days shows that the mean daily number of gallons sold is 10.00. What is the point estimate of the population mean?
An owner of a fast food restaurant reported to corporate headquarters that the average bill paid by his customers in the last quarter was $6.20 and that the standard deviation was $1.90.
Suppose that the incident rate of a particulat kind of accient is 1/10,000 persons. In a town of 50,000 persons, what is the probability that there is no accident of this kind?
Multiple comparison procedures are going to be done using the Bonferroni method with = 0.05. The value of t** is 2.4667. Which of the following is the appropriate conclusion from carrying out these multiple comparisons?
One approach for defining elevated blood pressure is to use 90 mm Hg- the standard for elevated adult DBP- as the cutoff. What percentage of 17-year-old-boys would be found to have elevated blood pressure, using this approach?
The following frequency table lists the sales of an item and the number of times it has occurred. It was obtained from historical records.
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