An article in Fire Technology (LR DiMaio, PJ Chiesa, MS Ott - Fire technology, 1975 - Springer, p. 164-174) investigated two different foam expanding agents that can be used in the nozzles of fire-fighting spray equipment. A random sample of five observations with an aqueous film-forming foam (AFFF) had a sample mean of 4.5 and a standard deviation of 0.59. A random sample of five observations with alcohol-type concentrates (ATC) had a sample mean of 6.7 and a standard deviation 0.85. Construct the following: (a) A 90% two-sided confidence interval on of lo. 0.0754 3.078 Round your answer to three decimal places (e.g. 98.765). (b) A 95% two-sided confidence interval on o? / o. Comment on the comparison of the width of this interval with the width of the interval in part (a). 0.050 i 4.628 Round your answer to three decimal places (e.g. 98.765). The 95% confidence interval is wider than the 90% confidence interval. (c) A 90% lower-confidence bound on o lo,. i 0.075 Round your answer to three decimal places (e.g. 98.765). VI VI

An article in Fire Technology (LR DiMaio, PJ Chiesa, MS Ott - Fire technology, 1975 - Springer, p. 164-174) investigated two different foam expanding agents that can be used in the nozzles of fire-fighting spray equipment. A random sample of five observations with an aqueous film-forming foam (AFFF) had a sample mean of 4.5 and a standard deviation of 0.59. A random sample of five observations with alcohol-type concentrates (ATC) had a sample mean of 6.7 and a standard deviation 0.85. Construct the following: (a) A 90% two-sided confidence interval on of lo. 0.0754 3.078 Round your answer to three decimal places (e.g. 98.765). (b) A 95% two-sided confidence interval on o? / o. Comment on the comparison of the width of this interval with the width of the interval in part (a). 0.050 i 4.628 Round your answer to three decimal places (e.g. 98.765). The 95% confidence interval is wider than the 90% confidence interval. (c) A 90% lower-confidence bound on o lo,. i 0.075 Round your answer to three decimal places (e.g. 98.765). VI VI

Name: An article in Fire Technology (LR DiMaio, PJ Chiesa, MS Ott - Fire te
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Description: An article in Fire Technology (LR DiMaio, PJ Chiesa, MS Ott - Fire technology, 1975 - Springer, p. 164-174) investigated two differentfoam expanding agents that can be used in the nozzles of fire-fighting spray equipment. A random sample of five obs

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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An experiment to compare the spreading rates of five different brands of yellow interior latex paint available in a particular area used 4 gallons (J = 4) of each paint. Suppose that all require assumptions are satisfied. The sample average spreading rates (ft-/gal) for the five brands were x1 = 462.0, X2. = 512.8, x3 = 437.5, x4. 469.3, and X5. = 532.1. The computed value found to be significant at level a = 0.05. With MSE 220.8, use Tukey's procedure to investigate significant differences between brands. (Round your answer to two decimal places.) %3D W = Which means differ significantly from one another? (Select all that apply.). and
An article in Fire Technology (LR DiMaio, PJ Chiesa, MS Ott - Fire technology, 1975 - Springer, p. 164-174) investigated two different foam expanding agents that can be used in the nozzles of fire-fighting spray equipment. A random sample of five observations with an aqueous film-forming foam (AFFF) had a sample mean of 4.5 and a standard deviation of 0.59. A random sample of five observations with alcohol-type concentrates (ATC) had a sample mean of 6.7 and a standard deviation 0.85. Construct the following: (a) A 90% two-sided confidence interval on of /o,. i Round your answer to three decimal places (e.g. 98.765). (b) A 95% two-sided confidence interval on of/o,. Comment on the comparison of the width of this interval with the width of the interval in part (a). i Round your answer to three decimal places (e.g. 98.765). The 95% confidence interval is than the 90% confidence interval. (c) A 90% lower-confidence bound on o lo,. of Round your answer to three decimal places (e.g.…
Cadmium, a heavy metal, is toxic to animals. Mushrooms, however, are able to absorb and accumulate cadmium at high concentrations. The Czech and Slovak governments have set a safety limit for cadmium in dry vegetables at 0.5 part per million (ppm). M. Melgar et al. measured the cadmium levels in a random sample of the edible mushroom Boletus pinicola and published the results in the paper “Influence of Some Factors in Toxicity and Accumulation of Cd from Edible Wild Macrofungi in NW Spain” (Journal of Environmental Science and Health, Vol. B33(4), pp. 439–455). A hypothesis test is to be performed to decide whether the mean cadmium level in Boletus pinicola mushrooms is greater than the government’s recommended limit. Hypothesis tests are proposed. For each hypothesis test,a. determine the null hypothesis.b. determine the alternative hypothesis.c. classify the hypothesis test as two tailed, left tailed, or right tailed.
In a study of carbohydrate diet, an investigator wishes to test a hypothesis test for whether the population mean of cholesterol level among individuals taking medium carbohydrate diet for 4 months is different than 7.8 mmol/L A simple random sample (SRS) of 30 study participants is conducted. Subjects are randomized to receive medium carbohydrate diet for 4 months. The total cholesterol level at the time of entering the study had an average of 5.20 mmol/L and standard deviation of 1.3 mmol/L Calculate a 95% confidence interval (show your work) for the population mean of total cholesterol levels among those taking medium carbohydrate diet and use the confidence interval to draw a conclusion as to whether there is a difference in cholesterol levels. Choose the correct statement. O (4.7492, 5.6508) Do not reject HO sincc value of null hypothesis, 5.20 does fall in this range O (4.8216. 5.5783) Reject H0 since value of null hypothesis 7.8 does not fall in this range. O 14.7492. 5.6508)…
The article “Arsenic and Mercury in Lake Whitefish and Burbot Near the Abandoned Giant Mine on Great Slave Lake” (P. Cott, B. Zajdlik, et al., Journal of Great Lakes Research, 2016:223–232) presents measurements of arsenic concentrations in fish found in Northern Canada. In a sample of 8 whitefish caught in Yellowknife Bay, the mean arsenic concentration in the liver was 0.32 mg/kg, with a standard deviation of 0.05 mg/kg. Can you conclude that the mean arsenic concentration in whitefish in Yellowknife Bay is greater than 0.3 mg/kg?
An experiment to compare the spreading rates of five different brands of yellow interior latex paint available in a particular area used 4 gallons (J = 4) of each paint. The sample average spreading rates (ft2/gal) for the five brands were x1. = 462.0, x2. = 512.8, x3. = 427.5, x4. = 469.3, and x5. = 532.1. The computed value of F was found to be significant at level ? = 0.05. With MSE = 300.8, use Tukey's procedure to investigate significant differences between brands. (Round your answer to two decimal places.)
The article “Arsenic and Mercury in Lake Whitefish and Burbot Near the Abandoned Giant Mine on Great Slave Lake” (P. Cott, B. Zajdlik, et al., Journal of Great Lakes Research, 2016:223–232) presents measurements of arsenic concentrations in fish found in Northern Canada. a) In a sample of 8 whitefish caught in Yellowknife Bay, the mean arsenic concentration in the liver was 0.32 mg/kg, with a standard deviation of 0.05 mg/kg. Find a 95% confidence interval for the concentration in whitefish found in Yellowknife Bay. b) In a sample of 8 whitefish caught in Baker Pond, the mean arsenic concentration in the liver was 0.55 mg/kg, with a standard deviation of 0.36 mg/kg. Should the Student’s t distribution be used to find a 95% confidence interval for the concentration in whitefish found in Baker Pond? If so, find the confidence interval. If not, explain why not.
In some mining operations, a byproduct of the processing is mildly radioactive and release of these byproducts into the environment may contaminate the freshwater supply. There are strict regulations for the maximum allowable radioactivity in supplies of drinking water, namely an average of 5 picocuries per litre (pCi/L) or less. A random sample of 40 specimens of water from the city’s water supply gave a mean of 5.39 pCi/L and a standard deviation of 0.77 pCi/L. Is the city’s water supply contaminated? Test this hypothesis at the 0.01 level of significance. Give an approximate p-value for the test statistic.
The article “Genetically Based Tolerance to Endosulfan, Chromium (VI) and Fluoranthene in the Grass Shrimp Palaemonetes pugio” (R. Harper-Arabie, Ph.D. Thesis, Colorado School of Mines, 2002) reported that out of 1985 eggs produced by shrimp at the Diesel Creek site in Charleston, South Carolina, 1919 hatched, and at the Shipyard Creed site, also in Charleston, 4561 out of 4988 eggs hatched. Find a 99% confidence interval for the difference between the proportions of eggs that hatch at the two sites.
Vehicle speed on a particular bridge in China can be modeled as normally distributed (“Fatigue Reliability Assessment for Long-Span Bridges under Combined Dynamic Loads from Winds and Vehicles,” J. of Bridge Engr., 2013: 735–747).a. If 5% of all vehicles travel less than 39.12 m/h and 10% travel more than 73.24 m/h, what are the mean and standard deviation of vehicle speed? [Note: The resulting values should agree with those given in the cited article.]b. What is the probability that a randomly selected vehicle’s speed is between 50 and 65 m/h?c. What is the probability that a randomly selected vehicle’s speed exceeds the speed limit of 70 m/h?
The yield of alfalfa from a random sample of six test plots is 1.4, 1.6, 0.9, 1.9, 2.2,and 1.2 tons per acre. Assume the data can be looked upon as a sample from anormal population. Test at the 0.05 level of significance whether this supports thecontention that the average yield for this kind of alfalfa is 1.5 tones per acre.
Cadmium,aheavymetal,istoxictoanimals. Mushrooms,however,areabletoabsorband accumulate cadmium at high concentrations. The Czech and Slovak governments have set a safety limit for cadmium in dry vegetables at 0.5 parts per million (ppm). M. Melgar et al. measured the cadmium levels in a random sample of the edible mushroom Boletus pinicola and published the results in a paper. Here are the data: 0.24 0.59 0.62 0.16 0.77 1.33 0.92 0.19 0.33 0.25 0.59 0.32 At the 5% significance level, do the data provide sufficient evidence to conclude that the mean cadmium level in Boletus pinicola mushrooms is greater than the government’s recommended level of 0.5 ppm? Assume that the population standard deviation of cadmium levels in Boletus pinicola mushrooms is 0.37 ppm (Note: The sum of the data is 6.31 ppm.)