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: H = 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) 4. Do the same steps as (a) to (c) when x bar = 9.8 with the hypotheses Ho: µ = 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).

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: H = 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) 4. Do the same steps as (a) to (c) when x bar = 9.8 with the hypotheses Ho: µ = 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).

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MATLAB: An Introduction with Applications

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Concept explainers

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.

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4A 4B 4C

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: H = 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)
4. Do the same steps as (a) to (c) when x bar = 9.8 with the hypotheses Ho: µ = 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).

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