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Cancer of the colon and rectum is less common in the Mediterranian region than in other western countries. The Mediterrainian diet contains little animal fat and lots of olive oil. Italian researchers compared 1953 patients with colon or rectal cancer with a control gropup of 4154 patients admitted to the same hospitals for unrealted reasons. They estimared consumption of various foods from a details interview, then divided the patients into three groups according to their consumption of olive oil.
a) Is this an observational or experimental study. Justify answer.b) Write down an Null and alternate hypothesis for analysing this data set.c) Results:
Olive OilLow Medium High TotalColon cancer 398 397 430 1225Rectal cancer 250 241 237 728Controls 1368 1377 1409 4154
Give an example calculation of one of the 6 cells in the table of the expected frequency under the null hypothesis. Explain how the null hypothesis is the basis of this calculation.d) determine the value of the relevent test statistic and the corresponding p-value.e) what is the result of your analysis? write an appropriate conclusionf) what assumptions about the data have you made? Are these assumptions justified in this case?
What critical values should replace 1.645 and 2.326 in order to apply a Bonferroni correction to this multiple testing situation? What would the result of the Bonferroni correction be in terms of stars?
A study was completed that examined the relationship between coffee consumption and level of stress for a group of 50 undergraduate students. The correlation was .373, and it was a two-tailed test, done at the .01 level of significance.
A survey was mailed to a total of 400 students; 100 were randomly selected from each of the freshman, sophomore, junior and senior classes last semester. What sampling method was used?
Is this enough evidence to support Union's position? Use significance level of a = 0.05. You may suppose the mean annual salaries are normally distributed.
Many different kinds of data can be modeled using exponential and logarithmic functions. For example, exponential functions have been used by Thomas Malthus to describe the growth of human populations.
A restaurant claims that its speed of service time is less than 18 minutes. A random selection of 36 service times was collected, and their mean was calculated to be 17.1 minutes.
Phil has seen his shadow 104 times. (a) What is the probability that Phil will see his shadow on a randomly chosen Groundhog Day? (b) What kind of probability is this?
Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error?
In exercise identify (a) sample and (b) population. Also, find whether sample is likely to be representative of population.
Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a random variable that represents the number of milligrams of porphyrin per deciliter of blood.
Xerox Claims their copier is the same speed as Cannon's copier. The average speed of cannon's copier is 27 copies per minute. A test of 49 runs is done on the Xerox copier giving a sample mean X = 26 and a sample standard deviation s = 2.65.
A customer receives a defective product. What is the probability that it came from Binford? What assumptions did you make to answer this question?
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