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Consumer Reports magazine tested paints. The table below shows the overall quality score and cost in dolllars per gallon. Test for a correlation. Based on these results, do you get better quality paint by paying more?
Quality
90 87 87 86 86 86 82 81 78 62 61 59 23
Cost
27 32 34 30 20 19 19 36 15 39 24 25 15
(i) Test statistic:
(ii) Critical values:
(iii) Conclusion on H0:
(iv) Interpret the results according to the problem.
Compute the 95% confidence interval on the population mean if a sample of 1000 is taken and the sample mean is found to be 15.95 and standard deviation is 4.2.
What is the probability that an improperly adjusted machine will produce five or more items before it is stopped? What is the average number of items an improperly adjusted machine will produce before being stopped?
At the 0.05 level of significance, is there evidence to suggest that the population mean waiting time to check out is less than 10.73 minutes?
Develop an appropriate forecast model for the given problem whereas the student population has remained constant during this period.
Perform a significance test to see if there is a relation between mortality and duration of employment in the group hired AFTER 1945 and report a p-value.
Which of the following models are appropriate to forecast a time series whose amplitude increases over time?
Determine the largest village in terms of the population?
Acme Taxi has two taxi cabs. The manager tracks the daily revenue for each cab. Over the past 20 days, Cab A has averaged $76.00 per night with a standard deviation equal to $11.00.
Management plans to sample 150 packages per week. What is the appropriate control chart?
Compute the mean of the sampling distribution? Compute the standard deviation of sampling distribution?
What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated?
The number of cell phone minutes used by high school seniors follows a normal distribution with a mean of 500 and a standard deviation of 50. What is the probability that a student uses fewer than 400 minutes?
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