7.21Refer to Exercise 7.13. Suppose that n = 20 observations are to be taken on In(LC50) mea-surements and that o² = 1.4. Let S² denote the sample variance of the 20 measurements.aFind a number b such that P(S² ≤ b) = .975.bFind a number a such that P(a ≤ $²) = .975.cIf a and b are as in parts (a) and (b), what is P(a ≤ S² ≤ b)? 7.13 The Environmental Protection Agency is concerned with the problem of setting criteria for theamounts of certain toxic chemicals to be allowed in freshwater lakes and rivers. A commonmeasure of toxicity for any pollutant is the concentration of the pollutant that will kill half ofthe test species in a given amount of time (usually 96 hours for fish species). This measure iscalled LC50 (lethal concentration killing 50% of the test species). In many studies, the valuescontained 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 varianceof In(LC50) measurements to be around .4 with concentration measurements in milligrams perliter. If n = 10 studies on LC50 for copper are to be completed, find the probability that thesample mean of In(LC50) will differ from the true population mean by no more than .5.

Chi square test are used to measure the independence between the categorical variables. It used to…

Answered: 7.21 Refer to Exercise 7.13. Suppose…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested.If 4.1% of the thermometers are rejected because they have readings that are too high and another 4.1% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others.interval of acceptable thermometer readings = _________ °C
Solve. Show your OWN work
1. A population has the numbers 2, 4, 6, 8, 10, 12. Then two samples are taken at random and without replacement. If it is known µ-7. Find: a. Population variance (0²) b. The mean standard deviation of the sample (ox²)
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested.If 4.8% of the thermometers are rejected because they have readings that are too high and another 4.8% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others.interval of acceptable thermometer readings =_____________ °C
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 50 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.20 ml/kg for the distribution of blood plasma.
1.3.2 Consider the output given below that was obtained using the One Proportion applet. Use information from the output to find the standardized statistic for a sample propor- tion value of 0.45. Probability of success (n): 0.30 Sample size (n): 25 Number of samples: 1000 O Animate Draw Samples Total = 1000 180 Mean = 0.301 SD = 0.091 120 60 0.08 0.16 0.24 0.32 0.40 0.48 0.56 0.64 Proportion of success
Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . If we roll the die 81 times, record the average, and repeat this process a total of 100 times, what does the central limit theorem predict will be the standard deviation of the set of averages? A. 1.00 B. 0.729 C. 0 D. 1.40
4. Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. Net weights actually vary slightly from bag to bag and are Normally distributed with mean μ. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised and so intends to test the hypotheses Ho: = 14, Ha: < 14. To do this, he selects 16 bags of this brand at random and determines the net weight of each. A Type I error in this setting would mean (a) concluding that the bags are being underfilled when they actually aren't. (b) concluding that the bags are being underfilled when they actually are. concluding that the bags are not being underfilled when they actually are. (d) concluding that the bags are not being underfilled when they actually aren't. (e) none of these
15. What is the minimum number of pairs needed to estimate the difference in the means of two populations using paired difference samples to within 3 units at 99% confidence given σd = 8.3? A. 153 D. 126 C. 51 B. 42
A large airline company called Fusion Fly monitors customer satisfaction by asking customers to rate their experience as a 1, 2, 3, 4, or 5, where a rating of 1 means "very poor" and 5 means "very good". The customers' ratings have a population mean of μ = 4.29, with a population standard deviation of a = 1.15. Suppose that we will take a random sample of n=7 customers' ratings. Let x represent the sample mean of the 7 customers' ratings. Consider the sampling distribution of the sample mean x. Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed. (a) Find μ- (the mean of the sampling distribution of the sample mean). H₂=0 X (b) Find o- (the standard deviation of the sampling distribution of the sample mean). 0--0 X

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