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At a certain university, an English proficiency test must be passed before undergraduates can receive their degrees. Some students have been known to take the test twice before passing it. A random sample of 25 such students was taken, and the number of "comma errors" was counted on the first and second tests. The average difference on the two tests was a decrease of 2.4 errors. The standard deviation was 6.0.
a. If a college administrator wants to test to show that there was no improvement, what are the null and alternative hypotheses?
b. Perform the test.
If it were true that just 2% of the tires produced have surface blemishes, what would be the probability of getting 5 or more with such blemishes in a random sample of 40 tires?
A research firm tests the miles-per-gallon characteristics of three brands of gasoline. Becauseof different gasoline performance characteristics in different brands of automobiles, What is the advantage of attempting to remove the block effect
The stationary Gaussian process Xn with expected value E[Xn] = 0 and autocorrelation function RX (k) = 2-|k| is passed through the linear filter given by the filter vector h = [1 -1 1]'. Find the PDF of X = [X3 X4X5]'.
Assume that the only possible causes of symptom A are D1, D2, and Di and that no one carries more than one of these three diseases.
Based on the premise that the advertising campaign will be successful, what is the probability of 11 or fewer people being able to recall the company name?
Construct a frequency distribution for these data. Based on the frequency distribution, develop a histogram.
Tests of hypothesis for two populations. List one test statistic that could be used for comparing two populations with hypothesis testing. Can you think of an example where this could be used?
A manufacturer sells a certain product in batches of 100 to wholesalers. The following table shows the quarterly sales figure for this product over the last several years.
Find the probability that the first ball drawn is red and the second ball drawn is green. Place your answer, rounded to 4 decimal places, in the blank.
What do we know about the behavior of the sample mean ( X ) in this setting? B) If the sociologist decides to scale down his study and draw a sample of n =10.
Find the probability that none of the Arkansas workers belongs to a union.- Find the probability that at least one worker from each state belongs to a union.
a large clinical trial of the effect of diet on breast cancer assigned women at random to either a normal diet or a
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