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Submit Answer [-/2 Points] DETAILS WACKERLYSTAT7 7.E.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A forester studying the effects of fertilization on certain pine forests in the Southeast. is interested in estimating the average basal area of pine trees. In studying basal areas of similar trees for many years, he has discovered that these measurements (in square inches) are normally distributed with standard deviation approximately 5 square inches. If the forester samples n = 16 trees, find the probability that the sample mean will be within 3 square inches of the population mean. (Round your answer to four decimal places.) You may need to use the appropriate appendix table or technology to answer this question. Need Help? Read It Talk to a Tutor [-/1 Points] DETAILS WACKERLYSTAT7 7.E.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The Environmental Protection Agency is concerned with the problem of setting criteria for the amounts of certain toxic chemicals to be allowed in freshwater lakes and rivers. A common measure of toxicity for any pollutant is the concentration of the pollutant that will kill half of the test species in a given amount of time (usually 96 hours for fish species). This measure is called LC50 (lethal concentration killing 50% of the test species). In many studies, the values contained in the natural logarithm of LC50 measurements are normally distributed, and, hence, the analysis is based on In(LC50) data. Studies of the effects of copper on a certain species of fish (say, species A) show the variance of In(LC50) measurements to be around 1.125 with concentration measurements in milligrams per liter. If n = 18 studies on LC50 for copper are to be completed, find the probability that the sample mean of In(LC50) will differ from the true population mean by no more than 0.4. (Round your answer to four decimal places.) You may need to use the appropriate appendix table or technology to answer this question. Need Help? Read It Talk to a Tutor ENG 2:00 PM US 18/07/2020F - C webassign.net/web/Student/Assignment-Responses/submit?dep=23895424&tags=autosave#question4571344_0 kj Assignment Scoring Your last submission is used for your score. 1. [4/14 Points] DETAILS PREVIOUS ANSWERS WACKERLYSTAT7 7.E.009. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A bottling machine can be regulated so that it discharges an average of u ounces per bottle. It has been observed that the amount of fill dispensed by the machine is normally distributed with o = 1.0 ounce. If a sample of n = 9 filled bottles is randomly selected from the output of the machine on a given day (all bottled with the same machine setting), and the ounces of fill are measured for each, then the probability that the sample mean will be within 0.36 ounce of the true mean is 0.7199. Suppose that Y is to be computed using a sample of size n. (a) If n = 16, what is P(|Y - u| $ 0.36)? (Round your answer to four decimal places.) (b) Find P(IY - ul s 0.36) when Y is to be computed using samples of sizes n = 25, n = 36, n = 49, and n = 64. (Round your answers to four decimal places.) n = 25 P(1Y - HI S 0.36) = n = 36 P(1Y - HI S 0.36) = n = 49 P(1Y - HI S 0.36) n = 64 P(|Y - HI S 0.36) = (c) What pattern do you observe among the values for P(|Y - u| $ 0.36) that you observed for the various values of n? The probabilities decrease as n increases. The probabilities stay the same as n increases. The probabilities increase as n increases. (d) It can be shown that a sample of size n = 30 is needed if we wish Y to be within 0.36 ounce of u with probability 0.95. Do the results that you obtained in part (b) seem to be consistent with that? ENG 2:00 PM US 18/07/2020 25