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1. Give an example of confusing a correlation with causality.
2. Name and give examples of two types of 'apparent replication'.
3. A researcher did a well-controlled and appropriately replicated experiment and was very surprised indeed when one of their colleagues said 'The design is fine but the experiment is unrealistic so the results and your conclusion have little or no biological significance.' What did the researcher's colleague mean?
Suppose the variance of an IID sequence of random variables is formed according to. -Where µ is the sample mean. Find the expected value of this estimate and show that it is biased.
A unity negative feedback control system in a manufacturing system has a process transfer function
For a particular plant hybrid, the flowers of any given plant have a 75% chance of being red. (a) What is the probability that in 8 plants, exactly 6 have red flowers? Use your formula sheet and basic calculator functions only.
We consider a waiting system with a single server and finite capacity c = 3, in which the customers arrive according to a Poisson process with rate λ and the service times are independent exponential random variables with parameter μ = 2λ.
Random samples of 25 observations were selected from each of 3 populations. For these data, SSTR= 120 and SSE = 216.
a company manufactures 13 types of cars. prior to full-scale production 4 of each type are made and a sample of 5 cars
Let X be a normally distributed random variable with µ = 100 and s = 10. Find the probability that X is between 70 and 110.
Calculate the coefficient of correlation - Find the correlation coefficient and regression lines for the data.
The winch cable on a tow truck is subjected to a force of when the cable is directed at. Determine the magnitudes of the total brake frictional force F for the rear set of wheels B and the total normal forces at both front wheels A and both rear w..
Identify the variable of interest and the unit of measurement and what proportion of reaction times are less than 2.00 seconds?
Fitting of simple linear regression equation - A researcher wishes to determine whether a person's age is related to the number of hours he or she jogs per week.
you calcuate the chi-square test statistic in a test of independence and determined that xsup2 -4.23 with 10 degrees
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