please write completeThe true mean voltage drop from collector to emitter of insulated gate bipolar transistors of acertain type is supposed to be 3.9 volts. A researcher is worried the voltage drop is too highand plans to randomly select 15 transistors to test the hypotheses of interest. Assume thepopulation standard deviation is 0.15 and the voltage drop is normally distributed. Assumethat unknown to the researcher, the true mean voltage drop is 4.2 volts.a) What are the null and alternative hypotheses?b) How large of a sample is needed so that a 1% level test has power .85?c) For what values of should H, be rejected so that the power of the test is .90? Whatwill the level then be?

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Answered: please write complete The true mean…

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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To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
Records indicate that the mean weight of mature rainbow trout in Eagle Creek is 1.75 kg with a standard deviation of 0.33 kg. After years of marked oxygen depletion from pollutants in the creek, a biologist wants to see if the standard deviation, o, of weights has changed. The biologist measures the weights of 20 randomly chosen mature rainbow trout from the creek and finds that the sample standard deviation is 0.38 kg. Assume the current weights of mature rainbow trout in the creek follow a normal distribution. Does the biologist have sufficient evidence to conclude that the population standard deviation, o, differs from 0.33 kg? To answer, complete the parts below to perform a hypothesis test. Use the 0.10 level of significance.
Data from the National Association of Realtors indicates that mean price of a home in Denver,Colorado, in the first three months of 2018 was $255,300. We can write this as 255.3 with unitsof thousands of dollars for our calculations. A random sample of 60 homes sold in 2020 had amean price of 235 (thousand dollars). Assume the standard deviation s = 140 (thousand dollars).Can we conclude that the mean price in 2020 differs from the mean price in the first 3 months of2018? Use the α = 0.05 level of significance.Parameter_____________________________________________________________________Null hypothesis ____________________________________Alternative hypothesis ________________________________________This test is: One-sided Two-sidedTest statisticp-valueCircle a decision: Reject H0 Do not reject H0Conclusion: At the 0.05 level of significance, we ___________________ have sufficient evidenceto say that________________________
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 41 feet. Assume the population standard deviation is 4.6 feet.The mean braking distance for Make B is 42 feet. Assume the population standard deviation is 4.4 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. What is the claim? A.The mean braking distance is different for the two makes of automobiles. This is the correct answer. B.The mean braking distance is the same for the two makes of automobiles. C.The mean braking distance is less for Make A automobiles than Make B automobiles. Your answer is…
An old medical textbook states that the mean sodium level for healthy adults is 140 mEq per liter of blood. A medical researcher believes that, because of modern dietary habits, the mean sodium level for healthy adults, u, now differs from that given in the textbook. A random sample of 23 healthy adults is evaluated. The mean sodium level for the sample is 147 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 14 mEq. Assume that the population is normally distributed. Can we conclude, at the 0.10 level of significance, that the population mean adult sodium level differs from that given in the textbook? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H₁. H₂:0 H₁ :0 (b) Determine the type of test statistic to…
The Weather Underground reported that the mean amount of summer rainfall for the northeastern US is at least 11.52 inches. Ten cities in the northeast are randomly selected and the mean rainfall amount is calculated to be 7.42 inches with a standard deviation of 1.3 inches. At the α = 0.05 level, can it be concluded that the mean rainfall was below the reported average? What if α = 0.01? Assume the amount of summer rainfall follows a normal distribution. Please also state if the assumption of normal distribution was essential for solving this question. You will need to specify the appropriate hypothesis, identify the statistical test, estimate p-value (using R command), and state your conclusion in the context of the problem. For the conclusion, please use the following template. If you reject the null writeSince p-value is [write the value of your p-value] and is less than [write the value of alpha inpercent] we reject the null hypothesis at [write the value of alpha]% significance…
Use a z-table such as https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf or an online calculator such as http://onlinestatbook.com/2/calculators/normal_dist.html to answer the following question: This question again refers to the study on blood pressure which has a normally-distributed set of blood pressures with a mean of 120.1 mmHg and a standard deviation of 15.1 mmHg. If you picked a member of the population at random, would it be more likely that you randomly select someone that: Has a blood pressure between 104 mmHg and 114 mmHg, or Has a blood pressure between 124 mmHg and 134 mmHg? Show any values calculated and explain your reasoning in the space provided below.
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