According to scientists, the cockroach has had 300 million years to develop a resistance to destruction. In a study conducted by researchers, 5,000 roaches (the expectednumber in a roach-infested house) were released in the test kitchen. One week later, the kitchen was fumigated and 18,857 dead roaches were counted, a gain of 13,857roaches for the 1-week period. Assume that none of the original roaches died during the 1-week period and that the standard deviation of x, the number of roaches producedper roach in a 1-week period, is 1.4. Use the number of roaches produced by the sample of 5,000 roaches to find a 90% confidence interval for the mean number of roachesproduced per week for each roach in a typical roach-infested house.Find a 90% confidence interval for the mean number of roaches produced per week for each roach in a typical roach-infested house.(Round to three decimal places as needed.)

Solution:-Given thatSample size: n = 5,000Sample mean: x̄ = 13,857Standard deviation of the sample:…

Answered: According to scientists, the cockroach…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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In his doctoral thesis, L. A. Beckel (University of Minnesota, 1982) studied the social behavior of river otters during the mating season. An important role in the bonding process of river otters is very short periods of social grooming. After extensive observations, Dr. Beckel found that one group of river otters under study had a frequency of initiating grooming of approximately 1.7 for each 10 minutes. Suppose that you are observing river otters for 40 minutes. Let r = 0, 1, 2, ... be a random variable that represents the number of times (in a 40-minute interval) one otter initiates social grooming of another. Lambda = 6.8 (b) Find the probabilities that in your 40 minutes of observation, one otter will initiate social grooming four times, five times, and six times. (Round your answers to four decimal places.) P(4) = P(5) = P(6) =
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In a random sample of 1022 Canadian adults, 480 think that the Canadian government is doing too little to protect the environment. In another random sample of 1008 Canadian adults taken 10 years ago, 514 think that the Canadian government is doing too little to protect the environment. At a=0.10, can you reject the claim that the proportion of US adults who think that the Canadian government is doing too little to protect the environment hasn't changed?
An analysis of first-year students at a college revealed that 1/5 of the first-year women were from homes where both parents were professionals. Of these, 3/4 were interested in the same profession as one or both of their parents. If this latter group is made up of 15 students, how many first-year women are there?
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