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A study conducted by the research department of a pharmaceutical company claims that the annual spending (per person) for prescription drugs for allergy relief,is greater than or equal to the annual spending (per person) for non-prescription allergy relief medicine. A health insurance company conducted an independent study and collected data from a random sample of 235 individuals for prescription allergy relief medicine. The sample mean is found to be 17.6 dollars/year, with a sample standard deviation of 4.8 dollars/year. They have also collected data for non-prescription allergy relief medicine. An independent random sample of 275 individuals yielded a sample mean of 18.4 dollars/year, and a sample standard deviation of 3.6 dollars/year. Since the sample size is quite large, it is assumed that the population standard deviation of the sales (per person) for prescription and non-prescription allergy relief medicine can be estimated by using the sample standard deviation values given above. Is there sufficient evidence to reject the claim made by the research department of the company, at the .05 level of significance? Perform a one-tailed test.
The national average SAT score (for Verbal and Math) is 1028. If we assume a normal distribution with σ = 92, what is the 90th percentile score? What is the probability that a randomly selected score exceeds 1200?
When using dummy variables in a regression equation to model a qualitative or categorical variable, the number of dummy variables should equal to
A professor is targeting a score of 80 on an exam. His forty-nine students averaged 78 on an exam with s = 7. Are the scores significantly less than 80 at a significance level of 0.05? Show your work and state the conclusion.
Based on a study of heights of men and women who do gymnastics, a researcher concludes that the exercise from playing gymnastics causes people to become shorter. Do you agree with this conclusion?
A researcher is testing the effect of a new cold and flu medication on reaction time. A sample of n = 9 students is obtained and each student is given the normal dose of the medicine.
Use descriptive statistics to explain how parental involvement and interests in child's education can impact on educational attainment measured in terms of their numeracy (v24_7), literacy (v28_7) and creativity skills (v25_7 and v26_7)
A normal distribution has a mean of µ = 70 with σ = 12. If one score is randomly selected from this distribution, what is the probability that the score will be less than X = 55?
This sample group has errors with a standard deviation of 54.7ft. At the 5% level of significance, test that the new population has errors with a standard deviation equal to 43.7ft.
Find the test statistic P-value, and critical value, and state the final conclusion.
Is there evidence that the population mean amount is different from 8.17 ounces? (Use a 0.05 level of significance and determine the p-value and interpret its meaning.
A statistics professor planed her classes so carefully that the lengths of her classes are uniformly distributed between 45 and 55 minutes. Find the probability that a given class period runs greater than 50.25 minutes.
In a test of the independence of two variables, one the variables has two possible categories and the other has three possible categories.
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