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Roptrocerus xylophagorum is a parasitoid of bark beetles. To determine what cues these wasps use to find their hosts, researchers placed female wasps in the base of a Y-shaped tube, with a different odor in each arm of the Y, and recorded the number of wasps that entered each arm [SPSB00]. a) In one experiment, one arm of the Y had the odor of bark being eaten by adult beetles, while the other arm of the Y had the odor of bark being eaten by larval beetles. Ten wasps entered the area with the adult beetles, while 17 entered the area with the larval beetles. Calculate a p-value and draw a conclusion. b) In another experiment that compared infested bark with a mixture of infested and uninfested bark, 36 wasps moved towards the infested bark, while only 7 moved towards the mixture. Calculate a p-value and draw a conclusion.
Batting averages. Suppose that a baseball player's long-run batting average (number of hits per time at bat) is 300. Assuming that each time at bat yields.
Predict the final grade for a student who studies statistics 8 hours per week (x1), attends 34 classes (x2), and turns in 11 assignments (x3).
Use the definition of expected value to calculate E(X). What is strange about this? What problem does it reveal with this betting scheme?
Find the KKT point for the followin problem: maximize the area of a rectangle whose perimeter is fixed as 2d(>0) and whose width must be less than or equal to twice its length.
State the null and alternative hypothesis if the average electric bill for residents of White Pine Estates exceeds $52.98 per month.
each of the 110 students in a statistics class selects a random sample of 35 quiz scores from a population of 5000
Complete the table and use this information to determine whether there is any evidence that the population mean wattage of spotlights is different among the four theaters. Use a = 0.05.
The cards are mixed up, then a single card is drawn at random and placed on the table. If the top side is black what is the chance that the other side is white?
How does this model compare to the one in given Exercise?- What does this model estimate the interest rate to have been in 2000? How does this compare to the rate you predicted in given Exercise?
What is the probability that the mean breaking strength of the 3 untreated specimens is at least 25 pounds greater than the mean strength of the 3 treated specimens?
Identify the formal hypothesis testing process. Perform a hypothesis test of one proportion.
Does the law of large numbers imply that if you toss a coin long enough, the number of heads and the number of tails should even out? Explain.
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