An experiment compared fuel economies for two types of similarly equipped diesel mini-trucks. Let ussuppose that 12 Volkswagen and 10 Toyota trucks are used in 90-kilometer per hour steady-speedtests. If the 12 Volkswagen trucks average 16 kilometers per liter with a standard deviation of 1.0kilometers per liter and the 10 Toyota trucks average 11 kilometers per liter with a standard deviationofof 0.8 kilometer per liter, construct a 98% confidence interval forwhere o and o, are,respectively, the variances for the distances obtained per liter of fuel by the Volkswagen and Toyotamini-trucks. Finally, provide the numerical value of the Lower Confidence Limit (LCL). Round your finalanswer to 4 decimal places.Assume that the distances per liter for each truck model are approximately Normally distributed.

Given that, The degrees of freedoms are, Critical values: Using the F-table, the critical value at…

Answered: An experiment compared fuel economies…

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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3) The yield of a chemical process is being studied. From previous experience yield is known to be normally distributed and o=3. The past five days of plant operation have resulted in the following percent yields: 91.6, 88.75, 90.8, 89.95, and 91.3. a- Find a 95% confidence interval on the true mean yield. b- Is there evidence that the mean yield is not 90%? Use a = 0.05 c- What is the P-value for this test?
The burning rates of two different solid-fuel propellants used in aircrew escape systems are being studied. It is known that both propellants have approximately the same standard deviation of burning rate; that is, a₁ = ₂ =3 cm/s. From a random sample of size n₁ = 20 and n₂ = 20, we obtain₁ = 18.02 cm/s and ₂ = 24.31 cm/s. Construct a 95% confidence interval on the difference in means μ₁ - 1₂. Round your answers to 3 decimal places (e.g. 98.765). What is the upper bound of the two-sided confidence interval?
What is the upper bound of the two-sided confidence interval?
Your company sources motors from two suppliers: supplier A and supplier B. Your application requiresvery high maximum torque. You wish to know if there is a significant difference in maximum torque forthe motors from supplier A vs. supplier B. You sample 10 motors from each supplier and measure themaximum torque. The sample means and sample standard deviations are shown the following table. Is there evidence to conclude that one supplier is better than the other at a 95% confidence level?
You work for a company that produces electronics with integrated circuits. One of your products is called a "shift register." This product is designed to automatically shut down if its operating temperature exceeds 175 degrees Celsius. The manufacturing process has been designed to have a standard deviation of o = 0.4 degrees Celsius. You test a random sample 19 shift registers, and you record the following shut- down temperatures. Construct a 90% confidence interval for the overall mean shutdown-temperature. 175 174.66 175.44 174.34 174.91 174.79 174.82 175.52 174.99 174.99 175.23 175.15 175.11 175 175.43 174.85 174.74 174.9 175.48 (Checksum: 3325.35) a) Find the critical value and o. Critical Value: b) Find the confidence interval: 100% " 70°F Cloudy
An experiment was conducted to compare the yield of three plant genotypes. The height of plants was also recorded to serve as concomitant variable. 1. Determine if each of the statemen is true or false regarding to test of linear dependence between height and genotype at a=0.05 a. There is sufficient evidence that at least one genotype has a different mean plant height. b. It was found that the height and genotype of the plants are independent. 2. Determine if each of the statemen is true or false regarding to test of the linear dependence of yield on height at a=0.05. a. Plant height is not an effective concomitant variable for the experiment. b. There is sufficient evidence that plant yield is linearly dependent on height. 3. Assuming that assumptions of ANCAOVA were satisfied, determine if each statement is true or falsewith regards to test of significnace of genotype effects using ANACAOVA a=0.05 a. There is sufficient evidence that at least one genotype has a different mean plant…
4. The resilient moduli of 10 samples of a clay mixture are measured and the sample mean is x = 19.50. If an experimenter wishes to use a "known" value o = 1.0 for the standard deviation of the resilient modulus measurements based upon prior experience, construct appropriate 90%, 95%, and 99% two-sided confidence intervals for the average resilient modulus µ. Compare the lengths of the confidence intervals. Do you think it is plausible that the average resilient modulus is equal to 20.0?
Given two independent random samples with the following results: n1=12x‾1=73s1=27n1=12x‾1=73s1=27 n2=12x‾2=102s2=22n2=12x‾2=102s2=22 Use this data to find the 95%95% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed. Step 1 of 3 : Find the point estimate that should be used in constructing the confidence interval.
You work for a company that produces electronics with integrated circuits. One of your products is called a "shift register." This product is designed to automatically shut down if its operating temperature exceeds 175 degrees Celsius. The manufacturing process has been designed to have a standard deviation of o = 0.4 degrees Celsius. You test a random sample 16 shift registers, and you record the following shut- down temperatures. Construct a 80% confidence interval for the overall mean shutdown-temperature. 174.99 174.76 174.99 174.61 174.86 174.41 175.54 174.13 174.96 174.78 174.84 174.67 174.87 175.52 174.88 175.35 (Checksum: 2798.16) a) Find the critical value and ₂. Critical Value: σz: b) Find the confidence interval:
One method for measuring air pollution is to measure the concentration of carbon monoxide, or CO, in the air. Suppose Nina, an environmental scientist, wishes to estimate the CO concentration in Zagreb, Croatia. She randomly selects 45 locations throughout the city measures the CO concentration at each location. Based on her 45 samples, she computes the margin of error for a 95% t-confidence interval for the mean concentration of CO in Zagreb, in µg/m³, to be 4.28. What would happen to the margin of error if Nina decreases the confidence level to 90%? Nina increases the confidence level to 99%? Nina decreases the sample size to 33 locations? Nina increases the sample size to 65 locations? Answer Bank Increase Stay the same Decrease
An NHANES report gives data for 647 women aged 20–29 years. The BMI of these 647 women was x= 25.8. On the basis of this sample, we want to estimate the BMI u in the population of all 20.6 million women in this age group. We treated these data as an SRS from a Normally distributed population with standard deviation o = 7.1. (a) Give three confidence intervals for the mcan BMI u in this population, using 90%, 95%, and 99% confidence. Enter the lower and upper bound for the 90% confidence interval. (Enter your answers rounded to two decimal places. If you are using Crunchlt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision scttings.) lower bound = uррer bound Enter the lower and upper bound for the 95% confidence interval. (Enter your answers rounded to two decimal places. If you are using Crunchlt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision…

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