MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Use technology to help you test the claim about the population mean, μ, at the given level of significance, α, using the given sample statistics. Assume the population is normally distributed.

Claim: μ > 1300; α = 0.03; σ = 204.53. Sample statistics: x̄ = 1317.19, n = 300

Identify the null and alternative hypotheses. Choose the correct answer below.

- A. \( H_0: \mu \geq 1317.19 \)  
   \( H_a: \mu < 1317.19 \)

- B. \( H_0: \mu > 1300 \)  
   \( H_a: \mu \leq 1300 \)

- C. \( H_0: \mu \geq 1300 \)  
   \( H_a: \mu < 1300 \)

- D. \( H_0: \mu > 1317.19 \)  
   \( H_a: \mu \leq 1317.19 \)

- E. \( H_0: \mu \leq 1317.19 \)  
   \( H_a: \mu > 1317.19 \)

- F. \( H_0: \mu \leq 1300 \)  
   \( H_a: \mu > 1300 \) ✅

Calculate the standardized test statistic.

The standardized test statistic is [  ].
(Round to two decimal places as needed.)
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Transcribed Image Text:Use technology to help you test the claim about the population mean, μ, at the given level of significance, α, using the given sample statistics. Assume the population is normally distributed. Claim: μ > 1300; α = 0.03; σ = 204.53. Sample statistics: x̄ = 1317.19, n = 300 Identify the null and alternative hypotheses. Choose the correct answer below. - A. \( H_0: \mu \geq 1317.19 \) \( H_a: \mu < 1317.19 \) - B. \( H_0: \mu > 1300 \) \( H_a: \mu \leq 1300 \) - C. \( H_0: \mu \geq 1300 \) \( H_a: \mu < 1300 \) - D. \( H_0: \mu > 1317.19 \) \( H_a: \mu \leq 1317.19 \) - E. \( H_0: \mu \leq 1317.19 \) \( H_a: \mu > 1317.19 \) - F. \( H_0: \mu \leq 1300 \) \( H_a: \mu > 1300 \) ✅ Calculate the standardized test statistic. The standardized test statistic is [ ]. (Round to two decimal places as needed.)
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