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1. If a random sample of size 2 is taken from a distribution having p.d.f. j(x) = 2(1 - x), 0 <>x <>1, zero elsewhere, compute the probability that one sample observation is at least twice as large as the other.
2. Let Y1 Y2 Y3 denote the order statistics of a random sample of size 3 from a distribution with p.d.f. f(x) = 1, 0 x 1, zero elsewhere. Let Z = (Yi + Y3)/2 be the midrange of the sample. Find the p.d.f. of Z.
q1. records on a fleet of trucks reveal that the average life of a set of spark plugs is normally distributed with a
the diameter of an electric cable is normally distributed with a mean of 0.8 inch and a standard deviation of 0.03
question 1 what is the difference between the chi-square test for goodness-of-fit and the chi-square test for
Do these data lend support to this belief? Perform a significance test to answer this question. Construct and interpret a 95% confidence interval for the difference in proportions.
Describe a psychological research situation or scenario that would use a nonparametric test. Why would the nonparametric test be used?
Recent studies have shown that the super-cooling temperature of terrestrial frogs frozen at -6°C has a relative frequency distribution with a mean of - 2°C and a standard deviation of 0.3°C (The first of these studies was reported in Science, May ..
a small electronics store has begun to advertise in the local newspaper. before advertising the long-term average
give a 95 confidence interval for the mean blood phosphorus level for 5.4 5.2 2.5 4.9 5.7 and 6.3 mgdl. also what
Discuss how the statistical application of Pearson r is used for hypothesis testing. Through application of the Spearman Correlation discuss what type of data the Pearson formula can be used for.
Does the sample provide sufficient evidence that the mean pH level in the water differs from 8.5? Conduct a test at the ? = .01 level
what is the distribution of the case described here? mrs. shop wants to buy three high quality fountain pens at a
Then, define probability value in your own words and explain how a probability value of .05 in this example is related to the normal curve.
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