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Researchers are interested in the effectiveness of a newly-developed pain relief drug. They are interested in determining if it reduces perceived pain in patients following minor surgeries compared to a standard pain reliever. Previous research has shown that the standard pain reliever brings relief to patients in an average of 7.5 minutes following minor surgery, although the distribution of pain relief times is unknown in this surgical population. To test whether the new pain reliever works more quickly than the standard one, 75 patients with minor surgeries were given the new pain reliever and their times to relief were recorded. The experiment resulted in a sample mean of X =6.1 minutes and sample standard deviation s = 3.5 minutes. Use these data to answer the questions below.
a. Does the sample provide sufficient evidence to indicate, at the 5% level of significance, that the newly developed pain reliever is able to relieve perceived pain more quickly compared to the standard pain reliever? Show your calculations.
b. You discovered that an error was made in the calculation of the mean pain relief time for the new pain reliever. The mean pain relief time was X =7.1 with the same standard deviation (s = 3.5). Do your conclusions for question a change as a result of discovering this error? Show your calculations.
c. What is the p-value for the test statistic used in the hypothesis test in question b?
In a large class, 60% (0.60) are science majors and 40% (0.40) are liberal arts majors. Twenty percent (0.20) of the science majors are seniors
A student takes weekly quizzes in a course and receives the following grades over 12 weeks. Plot the data in a scatter plot with X = week and Y = grade.
Calculate the mean, median, standard deviation, the first quartile, the third quartile and the IQR. Round to one decimal place.
Estimate the true proportion of college students who believe in the possibility of haunted places with 95% confidence.
Many people think that job satisfaction in workplace is directly related to annual income. To check the validity of this assumption survey of 430 active working adults in U.S was taken that relates their job satisfaction to their annual income.
Construct a probability plot that will allow you to assess the plausibility of the lognormal distribution as a model for the rainfall data of Exercise 83 in Chapter 1
Simulate a completely random process of length 48 with independent, t-distributed values each with 5 degrees of freedom. Construct the time series plot. Does it look "random" and nonnormal? Repeat this exercise several times with a new simulation ..
What types of user authentication are used at your university and/or place of work? Do these measures seem to be effective? What if a higher level of authentication were implemented? Would it be worth it, or would it decrease productivity?
Using the 5% significance level, can you reject the null hypothesis that the percentages of people who play the lottery often, sometimes.
During a particular attack a person has 222 critical strikes out of 561 attacks. What is the lower bound forthe 99% confindence interval
Find a symmetric interval about the mean salinity such that 50% of all salinity levels lie in this interval. What are the endpoints of this interval called?
A worker takes a random sample of 100 boxes and finds that the average amount of detergent in a box is 510 grams.
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