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Smoke detectors are highly recommended safety devices for early fire detection in homes and businesses. It is vital that the devices be nondefective. Suppose 100 Brand A detectors are tested and 12 fail to emit a warning signal. Subjected to the same test, 15 out of 90 Brand B detectors fail to operate. State the alternative hypothesis that would be used to determine if Brand A has a higher proportion of defective smoke detectors than Brand B. Calculate the test statistic for determining if a difference exists between the failure rates of the two smoke detector brands.
Similar survey of student population 10 years ago found that coffee shop was favoured by 20% of students, and pizza and hamburger were each preferred by 40% of the students. Determine the expected frequencies for chi-square test.
For a recent year, the mean fare to fly from Charlotte, North Carolina, to Seattle, Washington, on a discount ticket was $267. A random sample of round-trip discount fares on this route last month gives:
Write complete linear programming model (All three parts) to find out the number of items to be transported from models A, B, C, and D to nodes 1 and 2 at minimum cost.
Assuming we can verify that the data set is approximately normally distributed, what percentage of times will the server be down less than 24 minutes?
An assembly line turns out 10% deffectives. Determine an acceptance number and sampling plan for samples of size 14 and a producers risk of 3%. (AQL = 10)).
Assume the data have bell shaped distribution with a mean of 30 and a standard deviation of 5. Employ the empirical rule to determine the percentage of data within each of the following ranges: 20 to 40, 15 to 45, and 25 to 35.
Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five samples were tested for each of the paints.
Indicate which would be the independent variable and which would be the dependent variable in each of the following:
In the construction of confidence intervals, if all other quantities are unchanged, an increase in the sample size will lead to a ____________ interval.
Constructing a 95% confidence interval for the true length of time for all pepper seeds to germinate you must calculate the margin of error. The margin of error in this case is 0.60.
Discuss how the null and alternative hypothesis for one-sample testing differs from two-sample testing; and explain how these two hypothesis' are the same, and provide a numerical example?
At the .01 significance level, is there a difference in the use of the four entrances?
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