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. 14 18 15 19 13 11 15 18 15 12 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) (ii) Does this information indicate that the population average HC for this patient is higher than 14? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Họ: H = 14; H1: µ < 14 O Ho: H > 14; H1: µ = 14 O Ho: H < 14; H:4 = 14 O Họ: H = 14; H1:µ > 14 O Họ: H = 14; H1:µ # 14 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal distribution and o is known. O The Student's t, since we assume that x has a normal distribution and o is unknown. O The Student's t, since we assume that x has a normal distribution and o is known. O The standard normal, since we assume that x has a normal distribution and o is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Find the P-value. (Round your answer to four decimal places.)
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. 14 18 15 19 13 11 15 18 15 12 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) (ii) Does this information indicate that the population average HC for this patient is higher than 14? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Họ: H = 14; H1: µ < 14 O Ho: H > 14; H1: µ = 14 O Ho: H < 14; H:4 = 14 O Họ: H = 14; H1:µ > 14 O Họ: H = 14; H1:µ # 14 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal, since we assume that x has a normal distribution and o is known. O The Student's t, since we assume that x has a normal distribution and o is unknown. O The Student's t, since we assume that x has a normal distribution and o is known. O The standard normal, since we assume that x has a normal distribution and o is unknown. What is the value of the sample test statistic? (Round your answer to three decimal places.) (c) Find the P-value. (Round your answer to four decimal places.)
MATLAB: An Introduction with Applications
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Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![**Title: Analyzing Hemoglobin Count Data**
Let \( x \) be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. It has a distribution that is approximately normal, with a population mean of about 14 for healthy adult women. Suppose 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:
\[ 14, 18, 15, 19, 13, 11, 15, 18, 15, 12 \]
**Task (i): Calculate the Sample Mean and Standard Deviation**
Use a calculator with sample mean and standard deviation keys to find \(\bar{x}\) and \(s\). (Round your answers to two decimal places.)
- \(\bar{x} = \) [ ]
- \(s = \) [ ]
**Task (ii): Determine Statistical Significance**
Does this information indicate that the population average HC for this patient is higher than 14? Use \(\alpha = 0.01\).
**(a) Level of Significance**
What is the level of significance?
\[ \alpha = 0.01 \]
State the null and alternate hypotheses.
- \(H_0: \mu = 14; \quad H_1: \mu < 14 \)
- \(H_0: \mu > 14; \quad H_1: \mu = 14 \)
- \(H_0: \mu < 14; \quad H_1: \mu = 14 \)
- \(H_0: \mu = 14; \quad H_1: \mu > 14 \)
- \(H_0: \mu = 14; \quad H_1: \mu \neq 14 \)
**(b) Choice of Sampling Distribution**
What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
- The standard normal, since we assume that \( x \) has a normal distribution and \(\sigma\) is known.
- The Student's \( t \), since we assume that \( x \) has a normal distribution and \(\sigma\) is unknown.
- The Student's \( t \), since we assume that \( x \) has a normal distribution and \(\sigma\) is known.
- The standard normal,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F263d6acc-03b4-45b5-8ce2-d676aa9ac999%2Fc7df5c3a-8ca9-4b9b-b79e-4ac9f867ac2c%2Fdils8e1_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Analyzing Hemoglobin Count Data**
Let \( x \) be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. It has a distribution that is approximately normal, with a population mean of about 14 for healthy adult women. Suppose 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:
\[ 14, 18, 15, 19, 13, 11, 15, 18, 15, 12 \]
**Task (i): Calculate the Sample Mean and Standard Deviation**
Use a calculator with sample mean and standard deviation keys to find \(\bar{x}\) and \(s\). (Round your answers to two decimal places.)
- \(\bar{x} = \) [ ]
- \(s = \) [ ]
**Task (ii): Determine Statistical Significance**
Does this information indicate that the population average HC for this patient is higher than 14? Use \(\alpha = 0.01\).
**(a) Level of Significance**
What is the level of significance?
\[ \alpha = 0.01 \]
State the null and alternate hypotheses.
- \(H_0: \mu = 14; \quad H_1: \mu < 14 \)
- \(H_0: \mu > 14; \quad H_1: \mu = 14 \)
- \(H_0: \mu < 14; \quad H_1: \mu = 14 \)
- \(H_0: \mu = 14; \quad H_1: \mu > 14 \)
- \(H_0: \mu = 14; \quad H_1: \mu \neq 14 \)
**(b) Choice of Sampling Distribution**
What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
- The standard normal, since we assume that \( x \) has a normal distribution and \(\sigma\) is known.
- The Student's \( t \), since we assume that \( x \) has a normal distribution and \(\sigma\) is unknown.
- The Student's \( t \), since we assume that \( x \) has a normal distribution and \(\sigma\) is known.
- The standard normal,
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