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Name: Let x be a random variable that represents hemoglobin count (HC) in gr
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Description: Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female pati

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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Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows.

(a) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.)

(b) Does this information indicate that the population average HC for this patient is higher than 14? Use ? = 0.01.

(i)

State the null hypotheses

H₀

and the alternate hypothesis

H₁

H₀

: μ ---Select--- < = ≤ > ≠ ≥

H₁

: μ ---Select--- > = ≥ ≤ < ≠

(ii) What is the value of the sample test statistic? (Round your answer to three decimal places.)

(iii) Compute the P-value. (Round your answer to four decimal places.)

(iv) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ??

At the ? = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.

At the ? = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.

At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.

At the ? = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.

(v) Interpret your conclusion in the context of the application.

There is sufficient evidence at the 0.01 level to conclude that the population average HC for this patient is higher than 14.

There is insufficient evidence at the 0.01 level to conclude that the population average HC for this patient is higher than 14.

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