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The average serum cholesterol level in a certain group of patients is 240 milligrams. A new medication is designed to lower the cholesterol level in this population after one month. A sample of 60 people in the population used the medication for 30 days, after which their average cholesterol level was 232 milligrams with a standard deviation of 18 milligrams. The manufacturer of the new medication would like to see if the average cholesterol level in the population has been reduced.
1. Using statistical notation, specify the appropriate null and alternative hypotheses.
2. Calculate the p-value for the hypothesis test.
3. Make a decision, "reject" or "do not reject," at the a = 0.05 level. Explain your reasoning.
4. Based on the decision you made in question #7, what type of error might you have made?
5. Calculate a 95% confidence interval for µ, the average serum cholesterol level in the population after one month.
For the last 18 review periods the average sales figure has dropped to $11,500 with a standard deviation of $4,000. Management is concerned. Perform a hypothesis test to determine if this change in sales is a potential problem.
A psychiatrist hires you to study whether her clients self-disclosed more while sitting in an easy chair or lying down on a couch. All clients had previously agreed to allow the sessions to be videotaped for research purposes.
Several questions will be asked but the main outcome measure of interest will be the percentage of customers who were completely satisfied and plan to return and the average amount spent.
You're designing a survey to assess employee satisfaction. Provide a question that will produce: Develop five demographic questions to measure gender, age, years of experience, level of education, and ethnicity.
How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 98% confidence that the sample mean is within 2 minutes of the population mean.
Use a two-sample t-test within Minitab to test the hypothesis that the mean length of leaves on the north side is the same as the mean length of leaves on the south side.What do you conclude? (Show the Minitab output).
At 0.05 significance level, is there a difference in the mean number of defects per shift? Assume that the populations are approximately normally distributed and the variances are equal.
Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation
The following data show the cost of electricity during August 2010 for a random sample of 50 one-bedroom apartments in a large city:
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.
Would you play this game if you wanted to make money? What do we expert the value of the results of the game to be?
uppose that the protion of all invoices that were paid late is 20 percent. In a random sample of 140 invoices, determine the probability that more than 28 percent invoices were paid late.
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