Suppose we want to test the concentration (μg/mL) of a specific dose of penicillin in the blood at acertain period of time. We randomly select 35 volunteers who have received penicillin and find theyhave a mean of 7.0 μg/mL. Past studies indicate the standard deviation is 2.0 µg/mL. The researcherthinks the mean concentration level will be at most 8.0. Test at a significance level of 0.05. (Round tothe nearest hundredth 0.00)a) What is the null and alternative hypothesis?Ho:Ha:b) What is the test statistic and calculate its value?c) Find the p-value or critical value depending on the test statistic used above.d) What is your decision and interpretation? c) Find the p-value or critical value depending on the test statistic used above.d) What is your decision and interpretation?e)Find the minimal sample size for the population parameter to be within0.8 μg/mL at a 95% level of confidence.If I decrease the confidence level %, would the sample size be more orless than your above answer?Upload Choose a File

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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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When samples of size 30 are collected from a normal population that has a mean of 200 and a standard deviation of 40, the standard deviation of the sampling distribution is?
The daily sleep duration among college students is normally distributed with a mean of 8.13 and standard deviation of 1.87. You want to use a sample size such that 95% of the averages fall within ±15±15 minutes (.25 of an hour) of the true mean of 8.13. Determine the smallest number of students you need to sample.
In a test of the effectiveness of garlic for lowering cholesterol, 81 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.9 and a standard deviation of 16.7. Use a 0.01 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses?
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In a test of the effectiveness of garlic for lowering cholesterol, 49 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes (before minus after) in their levels of LDL cholesterol (in mg/dL) have a mean of 0.8 and a standard deviation of 2.04. Use a 0.10 significance level to test the claim that with garlic treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic treatment? Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
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