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For a study conducted by the research department of a pharmaceutical company, 205 randomly selected individuals were asked to report the amount of money they spend annually on prescription allergy relief medication. The sample mean was found to be $17.60 with a standard deviation of $5.70. A random sample of 220 individuals was selected independently of the first sample. These individuals reported their annual spending on non-prescription allergy relief medication. The mean of the second sample was found to be 18.40 with a standard deviation of $4.20 . As the sample sizes were quite large, it was assumed that the respective population standard deviations of the spending for prescription and non-prescription allergy relief medication could be estimated as the respective sample standard deviation values given above. Construct a 95% confidence interval for the difference M1-M2 between the mean spending on prescription allergy relief medication (M1) and the mean spending on non-prescription allergy relief medication (M2).
1. What is the lower limit of the 95% confidence interval?2. What is the upper limit of the 95% confidence interval?
The sample mean X will be used to estimate. Determine the probability that the estimate will be off by less than .2 oz. Assume that the SD of the fills is .8 oz.
sketch a histogram showing the population distribution - locate value of the population mean in your sketch and make an estimate of the standard deviation.
If light bulbs failure times are identically and independently distributed, what shape would you expect for the hazard function of the light bulbs? Draw a picture and explain.
A game involving a pair of dice pays you 3 with probability 17/36, costs you 2 with probability 14/36, and costs you 4 with probability 5/36. What is your probability of losing money in one play of the game?
If two detection systems are installed in the same area and operate independently, what is the probability that at least one of the systems will detect the attack?
The formula C=5/9 (F-32) , where F is equal to or more than -459.6, represents Celsius temperature C as a function of Fahrenheit temperature F.
What different types of variables are used in quantitative studies? Describe each type of variable and how they differ.
The Internal Revenue Service (IRS) provides a toll-free help line for taxpayers to call in and get answers to questions as they prepare their tax returns.
A random sample of 700 drivers has been taken. What is the probability that between 538 and 546 of the drivers were wearing their seat belts?
In a sample of 49 adolescents who served as the subjects in an immunologic study, one variable of interest was the diameter of skin test reaction to an antigen.
How large a sample is needed to estimate the true proportion of defective components to within 2.5 percentage points with 99% confidence?
Let X be the number obtained on the blue die minus the number obtained on the red die. Draw a histogram for its probability function and a graph for its distribution function.
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