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3. The level of calcium in the blood of healthy young adults follows a normal distribution with mean u = 10 milligrams per deciliter and standard deviation o = 1.2. A clinic measures the blood calcium of 100 healthy pregnant young women at their first visit for prenatal care. The mean of these 100 measurements is x bar = 9.8. Is this evidence that the mean calcium level in the population from which these women come is less than 1O? To answer this, test the hypotheses HO: u = 10, Ha: µ < 10 at the 5% significance level. (a) What is the value of the test statistic, z? (b) What is the P-value for this test? |(c) State your conclusion clearly (statistical conclusion and its interpretation). (d) Is your conclusion correct if the distribution of the level of calcium in the blood is somewhat non-Normal? Why? |(e) This test requires two important assumptions. One of them is o is known. What is the other? (Hint: check 3.(d) together)

3. The level of calcium in the blood of healthy young adults follows a normal distribution with mean u = 10 milligrams per deciliter and standard deviation o = 1.2. A clinic measures the blood calcium of 100 healthy pregnant young women at their first visit for prenatal care. The mean of these 100 measurements is x bar = 9.8. Is this evidence that the mean calcium level in the population from which these women come is less than 1O? To answer this, test the hypotheses HO: u = 10, Ha: µ < 10 at the 5% significance level. (a) What is the value of the test statistic, z? (b) What is the P-value for this test? |(c) State your conclusion clearly (statistical conclusion and its interpretation). (d) Is your conclusion correct if the distribution of the level of calcium in the blood is somewhat non-Normal? Why? |(e) This test requires two important assumptions. One of them is o is known. What is the other? (Hint: check 3.(d) together)

MATLAB: An Introduction with Applications
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 level of calcium in the blood of healthy young adults follows a normal distribution with mean u = 10 milligrams per deciliter and standard deviation o = 1.2. A clinic measures the blood calcium of 100 healthy pregnant young women at their first visit for prenatal care. The mean of these 100 measurements is x bar = 9.8. Is this evidence that the mean calcium level in the population from which these women come is less than 1O? To answer this, test the hypotheses HO: u = 10, Ha: µ < 10 at the 5% significance level. (a) What is the value of the test statistic, z? (b) What is the P-value for this test? |(c) State your conclusion clearly (statistical conclusion and its interpretation). (d) Is your conclusion correct if the distribution of the level of calcium in the blood is somewhat non-Normal? Why? |(e) This test requires two important assumptions. One of them is o is known. What is the other? (Hint: check 3.(d) together)
Transcribed Image Text:3. The level of calcium in the blood of healthy young adults follows a normal distribution with mean u = 10 milligrams per deciliter and standard deviation o = 1.2. A clinic measures the blood calcium of 100 healthy pregnant young women at their first visit for prenatal care. The mean of these 100 measurements is x bar = 9.8. Is this evidence that the mean calcium level in the population from which these women come is less than 1O? To answer this, test the hypotheses HO: u = 10, Ha: µ < 10 at the 5% significance level. (a) What is the value of the test statistic, z? (b) What is the P-value for this test? |(c) State your conclusion clearly (statistical conclusion and its interpretation). (d) Is your conclusion correct if the distribution of the level of calcium in the blood is somewhat non-Normal? Why? |(e) This test requires two important assumptions. One of them is o is known. What is the other? (Hint: check 3.(d) together)
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