MO21. A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed withpopulation variance equal to 991(psi)^2. A random sample of 12 specimens has a mean compressive strength of 3317 psi.Construct a 95% two-sided confidence interval on mean compressive strength. The upper limit of the Cl of the Cl is Blank 1 inthe blank provided up to 2 decimal places. Show all necessary solutions in the submission for both upper and lower limit.Blank 1Add your answer

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Answered: MO21. A civil engineer is analyzing the…

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

Section13.3: Special Probability Density Functions

Problem 30E

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Tire pressure (psi) and mileage (mpg) were recorded for a random sample of seven cars of thesame make and model. The extended data table (left) and fit model report (right) are based on aquadratic model What is the predicted average mileage at tire pressure x = 31?
A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with ² = 1000 (psi)². A random sample of 12 specimens has a mean compressive strength of x= 3250 psi. What must be the P-value in testing the hypothesis that u = 3225 psi against the alternative hypothesis, > 3225 psi?
MO21. A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with population variance equal to 991(psi)^2. A random sample of 12 specimens has a mean compressive strength of 3317 psi. Construct a 95% two-sided confidence interval on mean compressive strength. The upper limit of the Cl of the Cl is Blank 1 in the blank provided up to 2 decimal places. Show all necessary solutions in the submission for both upper and lower limit.
Unfortunately, arsenic occurs naturally in some ground watert. A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 7.0 ppb arsenic, with s = 2.3 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. О но: и 3 8 рb; н,: и +8 ppb O Ho: H > 8 ppb; H: µ = 8 ppb O Ho: H = 8 ppb; H: µ > 8 ppb O Ho: H = 8 ppb; H,: µ < 8 ppb O Ho: H < 8 ppb; H,: µ = 8 ppb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since the sample size is large and o is unknown. O The Student's t, since the sample size is large and o is unknown. O The standard normal, since the sample size is large and o is…
Unfortunately, arsenic occurs naturally in some ground watert. A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 41 tests gave a sample mean of x = 6.9 ppb arsenic, with s = 2.8 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. О Но: и 8 pb О Но: и> 8 рpb; Hi: и %3D 8 рpb (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since the sample size is large and o is unknown. The standard normal, since the sample size is large and o is known. The Student's t, since the sample size is large and o is known. O The standard normal, since the sample size is large and o is unknown. What is the value of the sample test…
An engineer who is studying the tensile strength of a steel alloy intended for use in golf club shafts knows that tensile strength is approximately normally distributed with o = 60 psi. A random sample of 12 specimens has a mean tensile strength of X = 3250 psi. (a) Test the hypothesis that mean strength is 3500 psi. Use a= 0.01. (b) What is the smallest level of significance at which you would be %3D willing to reject the null hypothesis? (c) Explain how you could answer the question in part (a) with a two-sided confidence interval on mean tensile strength.
A rope manufacturer wants to test their manufacturing process. Their want their rope to hold at least 500 Ibs. They collect a sample of 85 short pieces of rope and subject each to a pulling force until the rope breaks. The sample mean is X= 495.7" · and sample variance s = 568.4" You are to test the hypothesis Ho:H=500. Calculate the test statistic.
Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac on Spray Droplet Size and Deposition"+ investigated the effects of herbicide formulation on spray atomization. A figure in a paper suggested the normal distribution with mean 1050 μm and standard deviation 150 µm was a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle. USE SALT (a) What is the probability that the size of a single droplet is less than 1350 μm? At least 975 μm? (Round your answers to four decimal places.) less than 1350 µm at least 975 μm (b) What is the probability that the size of a single droplet is between 975 and 1350 μm? (Round your answer to four decimal places.) (c) How would you characterize the smallest 2% of all droplets? (Round your answer to two decimal places.) The smallest 2% of…
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The test statistic for the rhino data, x^2= 3.85, suggests that:
Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse relationship between droplet size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac on Spray Droplet Size and Deposition"+ investigated the effects of herbicide formulation on spray atomization. A figure in a paper suggested the normal distribution with mean 1050 µm and standard deviation 150 μm was a reasonable model for droplet size for water (the "control treatment") sprayed through a 760 ml/min nozzle. USE SALT (a) What is the probability that the size of a single droplet is less than 1440 µm? At least 975 μm? (Round your answers to four decimal places.) less than 1440 μm 9990 X at least 975 μm (b) What is the probability that the size of a single droplet is between 975 and 1440 µm? (Round your answer to four decimal places.) (c) How would you characterize the smallest 2% of all droplets? (Round your answer to two decimal places.) The smallest…
A survey on lamb farms was conducted and data were collected on the followingvariables from a random sample of 30 farmers. Y = average live weight of ewes (kg)X1 = area of grazing land (m2) X2 = proportion of farm area that cannot be cultivatedX3 = proportion of area closed for lambs before weaning

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