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Confidence interval for the difference of population means: Use of the standard normal
For a study conducted by the research department of a pharmaceutical company, 290 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 $17.50 with a standard deviation of $5.10. A random sample of 260 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 $18.50 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 99% 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). Then complete the table below.
Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of formulas.)
a) What is the lower limit of the 99% confidence interval?
b) What is the upper limit of the 99% confidence interval?
1. the total cholesterol levels of a sample of men aged 35-44 are normally distributed with a mean of 206 milligrams
The the steps of hypothesis testing b) sketch the distribution involved, and c) explain your answer to someone who is familiar with the t test for a single sample but not with the t sest for independent means.
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Fifty-five patients participated in the study of a new blood test for a particular disease. Their gender, age, duration that they have had the disease, level of a particular component in their blood (level A), and the value of the protein lev..
Analyze the data to make conclusions. Perform test(s), interaction plot and post hoc multiple comparisons if needed.
Also suppose that the probability that the current player does not reach the semifanals of the tournament is 0.58 and that there is a 0.71 probability that jill is ranked next weekon the WTA circuit. What is the probability that the current player..
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