11. Data taken over a long period of time have established that the standard deviation of percentageiron in an iron analysis is 0.12, and that is not expected to change. A representative, well-mixedore sample is analyzed six times, so the sample size is 6. If the true iron content is 32.60 percentiron, if there is no systematic error, and if the normal distribution applies, what is the 95%confidence interval for sample means?To answer this question, what is u?A. 0.1212. In Problem 11, what is the level of significance of the test?A. 95%13. In problem 11, what test statistic do you need to solve for?A. Z-statisticB. T-statisticВ. 32.60%С. 6D. 5%B. 5%C. 2.5%D. 97.5%C. Chi-squared valueD. F- statistic

11 The population mean is 32.60% That is µ=32.60%

Answered: 11. Data taken over a long period of…

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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Suppose we need to estimate the mean age of Douglas College students to a higher degree of precision than in the pilot study of Question 11. Using the pilot study’s value s = 3.2014 as our estimate of the population standard deviation σ, what is the sample size required to obtain a margin of error of 0.1 years, at the 95% confidence level?
A data set includes 1-3 body temperatures of healthy adult humans having a mean of 98.1 F and a standard deviation of 0.56 F Construct a 99% interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6 F as the mean body temperature? What is the confidence level interval estimate of the mean ?
1. Depression scores (1-100) for young women (20-40 years old) are assumed to be normally distributed with a mean of 75.5 within the population. A sample of 26 women were recruited to have their depression scores recorded and the mean score was 82, with a standard deviation of 12. Researchers want to know if the sample data reflects a population with mean score of 75.5. Using a significance level of 0.01, answer the following questions. (a) What statistical test should the researchers conduct? Why? Explain your answer. (b) State the hypotheses for this scenario. (c) Conduct a hypothesis test based on question 1(a) to determine what the researcher should conclude from this study. Give your answer to two decimal places. (d) Suppose you obtained several random samples each with n = 100 women and each time you obtained their depression scores. Is it reasonable to assume that the sample means of these samples xx are approximately Normally distributed even though the population distribution…
A sample mean is 94, sample size is 27, and population standard deviation is 14 are given. Ho: p=89, Hl: μ#89 and a significance level is 0.10. Use the P-value approach to test the hypothesis. O a z=186; P-value = 0.0314; reject null hypothesis O b. z 186, P-value = 0.0628; reject null hypothesis O c. z=0.36; P-value = 0.7188, do not reject null hypothesis Od. z=0.36, P-value = 0.3594; do not reject null hypothesis
12. A new manufacturing process of component parts is being considered. Samples were taken improves the proportion of defective components. 1425 of 1500 components from the existing process and 1920 of 2000 components from the new process were found to be non-defective. 75 80 P1 = = 0.05, P2 = 0.04 and Pi - P2 = 0.05 - 0.04 = 0.01 1500 2000 a. Find a 99% confidence interval for the true difference in the fraction of defectives between the existing and the new processes? b. Based on your answer in (a), is there any significant difference between the existing and the new processes? Justify?
2. A common claim is that garlic lowers cholesterol levels. In a test of the effectiveness of garlic, 49 subjects were treated with doses of raw garlic, and their cholesterol levels were measured before and after the treatment. The changes in their levels of LDL cholesterol have a mean of 0.4 and a standard deviation of 21. Use the sample n = 49 to construct a 95% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. n=49₁ x=0,4₁ 5=21₁ CL = 95%, df=n-1 df=49-1=48
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Given that the researcher wants to be sure the mean difference in the change in hemoglobin levels has a margin of error no more than 0.2 g/dL and the difference in the stand deviation between the mean hemoglobin levels for the two forms of iron supplements used to treat anemia is 1.2 g/dL, what is the desired number of recruits for the study, assuming the individuals will participate in a crossover trial, if the study’s attrition rate is expected to be .25? Group of answer choices n= 139 n= 186 n= 554 n= 55,320
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