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(a) Describe the ?x?2??? test for independence of attributes, stating clearly the conditions for its validity.
(b) The table below includes results from polygraph (lie detector) experiments conducted by researchers. In each case, it was known if the subject lied or did not lie, so the table indicates when the polygraph test was correct. Use ?x?2???- test for 0.05 significance level to test the claim that whether a subject lies is independent of the polygraph test indication. Do the results suggest that polygraphs are effective in distinguishing between truth and lies?
Did the subject actually lie?
No(Did not lie) Yes (Lied)
Polygarph test indicated that the subject lied 15 42
Polygarph test indicated that the subject did not lie 32 9
Given below is the rate of return for one year (reported in percent) for the sample of 12 mutual funds. Using .05 significance level is it sensible to conclude that mean rate of return is more than 4.50 percent?
Calculate the reverse transition matrix for the Land of Oz example (Exam- ple 11.1). Is this chain reversible? Give an example of a three-state ergodic Markov chain that is not reversible.
if 3 different factor levels show a lot of variation between levels this impliesa a large amount of error within each
1. How do we calculate the standard error of the mean? a. Sample standard deviation divided by square root of sample size b. Square root of sample variance
there are three different routes connecting city a to city b. how many ways can a round trip be made from a to b and
heights of 10 year old girls follow an approximately normal distribution with mean of 54.4 and a standard deviation of
The selling price and size of a home for a suburb of Los Angeles in the year 1997 are shown in Table 6.6. At the time, even a small empty lot would cost.
Find the least squares regression line with total payroll as the independent variable and runs scored as the dependent variable.
Managers of a major book publisher believe that the occurrence of typographical errors in the books the company publishes is Poisson distributed.
In study of a clinical for an allergy drug 115 of the 204 subjects reported experiencing important relief from their symptoms.
Explain the difference in given two probabilities, using the distinction between relative frequency probability and personal probability in your explanation.
1. Calculate the area under the curve (to the 4th decimal) for the following examples:
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