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The ACT is an exam used by colleges and universities to evaluate undergraduate applicants. The test scores are normally distributed. In a recent year, the mean test score was 21.1 and the standard deviation was 5.0. The test scores of four students selected at random are 10, 2, 9, and 37. Are any of these values unusual? Why or why not?
Compute Pearson's correlation coefficient between age and amount spent on this particular product.
A population whose shape is unknown has a median of 75. You selected a sample of 40. The standard deviation of the median is 5. Calculate the probability that the median of the sample or average medians is:
Use Chebyshev's theorem to find what percent of the values will fall between 120 and 150 for a data set with mean of 135 and standard deviation of 7.5.
Carry out the suitable calculations to test for effect modification. Interpret your results.
P(A 1 )= .20, P(A 2 ), and P(A 3 )= .40. P(B 1 I A 1 ) = .25. P(B 1 I A 2 ) = .05. P(B 1 I A 3 )=.10. Use Bayes' theorem to determine P(A 3 I B 1 )
The following is the number of minutes to commute from home to work for a group of automobile executives.
Assume gasoline prices for a region are normally distributed. Do the data you obtained provide enough evidence to reject the claim? Use a 1% level of signi?cance.
What information is provided by the numeral value of the Pearson correlation? What is the major distinction between the Pearson and Spear man correlations?
What is the probability of making a Type II error if the population mean is 24,000 miles?
Out to right, create a 90% confidence interval estimate of sigma (σ), population standard deviation.
Computing the probability values for the given discrete distribution - What is the probability that you did not shake hands with a person with the flu
Set up a null and alternative hypothesis to test whether this sample is falling below expectations.
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