Questions A and C. Please!

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Questions A and C. Please!

A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 12 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 11.5.

**(a) Is it appropriate to use a Student’s t distribution? Explain.**

- Yes, because the x distribution is mound-shaped and symmetric and σ is unknown. [Selected]
- No, the x distribution is skewed left.
- No, the x distribution is skewed right.
- No, the x distribution is not symmetric.
- No, σ is known.

**How many degrees of freedom do we use?**

**(b) What are the hypotheses?**

- \( H_0: \mu = 11.5; H_1: \mu \neq 11.5 \) [Selected]
- \( H_0: \mu < 11.5; H_1: \mu = 11.5 \)
- \( H_0: \mu = 11.5; H_1: \mu > 11.5 \)
- \( H_0: \mu = 11.5; H_1: \mu < 11.5 \)
- \( H_0: \mu > 11.5; H_1: \mu = 11.5 \)

**(c) Compute the t value of the sample test statistic. (Round your answer to three decimal places.)**

\( t = \_\_\_\_\_\_ \)
Transcribed Image Text:A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 12 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 11.5. **(a) Is it appropriate to use a Student’s t distribution? Explain.** - Yes, because the x distribution is mound-shaped and symmetric and σ is unknown. [Selected] - No, the x distribution is skewed left. - No, the x distribution is skewed right. - No, the x distribution is not symmetric. - No, σ is known. **How many degrees of freedom do we use?** **(b) What are the hypotheses?** - \( H_0: \mu = 11.5; H_1: \mu \neq 11.5 \) [Selected] - \( H_0: \mu < 11.5; H_1: \mu = 11.5 \) - \( H_0: \mu = 11.5; H_1: \mu > 11.5 \) - \( H_0: \mu = 11.5; H_1: \mu < 11.5 \) - \( H_0: \mu > 11.5; H_1: \mu = 11.5 \) **(c) Compute the t value of the sample test statistic. (Round your answer to three decimal places.)** \( t = \_\_\_\_\_\_ \)
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