Two chemical companies can supply a raw material. The concentration of a particular element inthis material is important. The mean concentration for both suppliers is the same, but you suspectthat the variability in concentration may differ for the two companies. The standard deviation ofconcentration in a random sample of n₁ = 10 batches produced by company 1 is s₁ = 4.7 gramsper liter, and for company 2, a random sample of n₂ = 16 batches yield s₂ = 5.8 grams per liter.Is there sufficient evidence to conclude that the two populations variances differ? Use a = 0.05.a. Because 0.321 < 0.657 <3.77, fail to reject the null hypothesisb. Because 0.265 < 0.657 <3.12, fail to reject the null hypothesisc. Because 0.386 < 0.657 <3.01, fail to reject the null hypothesisd. None among the choices

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Answered: Two chemical companies can supply a raw…

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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A cohort of patients have lost on average 23 pounds and the standard deviation of the sample is 1.2 ounces. You subsequently discover that the scale used to measure all patients overestimates the weight by 3 pounds. What is the true mean of the sample weights (in pounds)? And if, A cohort of patients have lost on average 23 pounds and the standard deviation of the sample is 1.2 ounces. You subsequently discover that the scale used to measure all patients underestimate the weight by 3 pounds. What is the true standard deviation (in ounces) of the sample weights?
The scores on the Accuplacer test and High School GPAs are normally distributed.The Accuplacer test had a mean of 35 and a standard deviation of 8.High School GPAs had a mean of 2.6 and a standard deviation of 0.2.What high school GPA do you need to equal a score of 26 on the Accuplacer test?Give answer to two decimal places.
The scores on the Accuplacer test and High School GPAs are normally distributed.The Accuplacer test had a mean of 40 and a standard deviation of 8.High School GPAs had a mean of 2.6 and a standard deviation of 0.2.What high school GPA do you need to equal a score of 28 on the Accuplacer test?Give answer to two decimal places.
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.97.9 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 2424 samples is 8.18.1 ppm with a variance of 0.250.25. Does the data support the claim at the 0.10.1 level? Assume the population distribution is approximately normal. Step 2 of 5: Find the value of the test statistic. Round your answer to three decimal places.
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What are the null hypothesis (H) and the alternative hypothesis (H,) that should be used for the test? H: u is ? ? Н H: µ is ? ? In the context of this test, what is a Type I error? A Type I error is ? v the hypothesis that u is ? ? v when, in fact, u is ? Suppose that the researcher decides not to reject the null hypothesis. What sort of error might he be making? ?
The relationship between birth weight and IQ were studied. 258 subjects with extremely low birth weights had Wechsler IQ scores at age 8 with a mean of 95.5 and a standard deviation of 16.0. For 220 individuals with normal birth weights, the mean at age 8 is 104.9 and the standard deviation is 13.8. Assume that the standard deviations are different, and determine if IQ score appears to be affected by birth weight. Use a = 0.1. 2a. b. Compute a 95% confidence interval on the difference between the means.
The average score on a statistics test was 2.36 with a standard deviation of 0.69. The professor suspects that the test was very difficult; accordingly, he wishes to adjust the scores so that the mean is 3.97 and the standard deviation is 0.25. Calculate the a and b values so that the aX+b type adjustment gives the desired mean and variance? Calculate: a= b=
Rick took a test that is known to produce normally distributed grades with a mean of 72 and a SD of 10. If Rick know that the portion of scores below his was 0.4443, what was his score on the test? Two decimal places.
A patient is classified as having gestational diabetes if their glucose level is above 140 milligrams per deciliter (mg/dl) one hour after a sugary drink is ingested. Rebecca's doctor is concerned that she may suffer from gestational diabetes. There is variation both in the actual glucose level and in the blood test that measures the level. Rebecca's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with μ= 140+X mg/dl and σ = X+1 mg/dl, where X is 5. What is the probability of Rebecca being diagnosed with gestational diabetes if her glucose level is measured: a. Once?b. X+1 times, where X is 5?c. X+4 times, where X is 5? Comment on the relationship between the probabilities observed in (a), (b), and (c). Explain why this occurs and what it means in context.
Sheila's doctor is worried that she might develop gestational diabetes during her pregnancy. There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if their glucose level is above 140 mg/dl one hour after consuming a sugary drink. Sheila's measured glucose level one hour after the sugary drink varies according to the Normal distribution, with p = 125 mg/dl ando = 10 mg/dl. Fill in the following blanks with the correct options: (a) If a single glucose measurement is made, the probability that Sheila is diagnosed as having gestational diabetes is (0.0668, 0.1587, 0.2525, or 0.3173?). (b) Assuming that the population mean is 125 mg/dl, imagine that we repeat taking all possible samples of size 4 from the population, then only about 1.3 out of (10, 100, or 1,000?) sample means will have values as large as (125 or 140?) cm or even larger.

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