In Country A, the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 36.2 inches with a standard deviation of 3 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05. Which of the following correctly states Ho and H₂? O A. O D. Ho:μ ≥37 Ha: μ<37 Ho: μ = 37 Ha: μ#37 Find the test statistic. B. O E. Ho: μ = 37 Ha: μ<37 Ho: μ#37 Ha: μ = 37 t= (Type an integer or decimal rounded to two decimal places as needed.) Find the p-value. p= (Type an integer or decimal rounded to three decimal places as needed.) Reject or do not reject Ho. Choose the correct answer below. Ho: μ>37 OC. Ha: H≤37 O F. Ho: μ = 37 Ha: μ>37 A. Reject Ho. The population mean is definitely not 37 in. on the basis of these data at a significance level of 0.05. B. Reject Ho. There is reason to believe that 37 in. is not the population mean at a significance level of 0.05. O C. Do not reject Ho. There is no reason to believe that 37 in. is not the population mean at a significance level of 0.05.
In Country A, the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 36.2 inches with a standard deviation of 3 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below. a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05. Which of the following correctly states Ho and H₂? O A. O D. Ho:μ ≥37 Ha: μ<37 Ho: μ = 37 Ha: μ#37 Find the test statistic. B. O E. Ho: μ = 37 Ha: μ<37 Ho: μ#37 Ha: μ = 37 t= (Type an integer or decimal rounded to two decimal places as needed.) Find the p-value. p= (Type an integer or decimal rounded to three decimal places as needed.) Reject or do not reject Ho. Choose the correct answer below. Ho: μ>37 OC. Ha: H≤37 O F. Ho: μ = 37 Ha: μ>37 A. Reject Ho. The population mean is definitely not 37 in. on the basis of these data at a significance level of 0.05. B. Reject Ho. There is reason to believe that 37 in. is not the population mean at a significance level of 0.05. O C. Do not reject Ho. There is no reason to believe that 37 in. is not the population mean at a significance level of 0.05.
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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![In Country A, the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 36.2 inches with a standard deviation of 3 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below.
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**a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05.**
Which of the following correctly states H₀ and Hₐ?
- **A.**
- H₀: μ ≥ 37
- Hₐ: μ < 37
- **B.**
- H₀: μ = 37
- Hₐ: μ < 37
- **C.**
- H₀: μ > 37
- Hₐ: μ ≤ 37
- **D.**
- H₀: μ = 37
- Hₐ: μ ≠ 37
- **E.**
- H₀: μ ≠ 37
- Hₐ: μ = 37
- **F.**
- H₀: μ = 37
- Hₐ: μ > 37
**Find the test statistic.**
t = [ ]
(Type an integer or decimal rounded to two decimal places as needed.)
**Find the p-value.**
p = [ ]
(Type an integer or decimal rounded to three decimal places as needed.)
**Reject or do not reject H₀. Choose the correct answer below.**
- **A.** Reject H₀. The population mean is definitely not 37 in. on the basis of these data at a significance level of 0.05.
- **B.** Reject H₀. There is reason to believe that 37 in. is not the population mean at a significance level of 0.05.
- **C.** Do not reject H₀. There is no reason to believe that 37 in. is not the population mean at a significance level of 0.05.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3f924a4-c1bd-4937-8223-d0cae5d2153b%2F2bf7f4a0-ea1b-44a9-bca0-f3b790597d28%2Fppfgy65_processed.png&w=3840&q=75)
Transcribed Image Text:In Country A, the population mean height for 3-year-old boys is 37 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 36.2 inches with a standard deviation of 3 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below.
---
**a. Determine whether the population mean for Country B boys is significantly different from the Country A mean. Use a significance level of 0.05.**
Which of the following correctly states H₀ and Hₐ?
- **A.**
- H₀: μ ≥ 37
- Hₐ: μ < 37
- **B.**
- H₀: μ = 37
- Hₐ: μ < 37
- **C.**
- H₀: μ > 37
- Hₐ: μ ≤ 37
- **D.**
- H₀: μ = 37
- Hₐ: μ ≠ 37
- **E.**
- H₀: μ ≠ 37
- Hₐ: μ = 37
- **F.**
- H₀: μ = 37
- Hₐ: μ > 37
**Find the test statistic.**
t = [ ]
(Type an integer or decimal rounded to two decimal places as needed.)
**Find the p-value.**
p = [ ]
(Type an integer or decimal rounded to three decimal places as needed.)
**Reject or do not reject H₀. Choose the correct answer below.**
- **A.** Reject H₀. The population mean is definitely not 37 in. on the basis of these data at a significance level of 0.05.
- **B.** Reject H₀. There is reason to believe that 37 in. is not the population mean at a significance level of 0.05.
- **C.** Do not reject H₀. There is no reason to believe that 37 in. is not the population mean at a significance level of 0.05.
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