Use a t-test to test the claim about the population mean u at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: u = 52,600; a = 0.10 Sample statistics: x = 52,489, s= 1400, n= 19 Click the icon to view the t-distribution table. O A. Ho us 52,600 H, u> 52,600 B. H, p=52,600 H, u# 52,600 O C. H, p2 52,600 H, u< 52,600 O D. H, u#52,600 H, u= 52,600 What is the value of the standardized test statistic? The standardized test statistic is - 0.35. (Round to two decimal places as needed.) What is(are) the critical value(s)? The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.)

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Use a t-test to 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 = 52,600, α = 0.10  
Sample statistics: x̄ = 52,489, s = 1400, n = 19

- Click the icon to view the t-distribution table.

Options for Hypotheses:

A. H₀: μ ≤ 52,600  
   Hₐ: μ > 52,600

B. H₀: μ = 52,600  
   Hₐ: μ ≠ 52,600

C. H₀: μ ≥ 52,600  
   Hₐ: μ < 52,600

D. H₀: μ ≠ 52,600  
   Hₐ: μ = 52,600

Correct Answer:  
B. H₀: μ = 52,600  
   Hₐ: μ ≠ 52,600

What is the value of the standardized test statistic?

The standardized test statistic is t = -0.35 (Round to two decimal places as needed.)

What is(are) the critical value(s)?

The critical value(s) is(are) ____ (Round to three decimal places as needed. Use a comma to separate answers as needed.)

(Note: The blank space for the critical value(s) suggests the value needs to be calculated based on the t-distribution table and the specified level of significance.)
Transcribed Image Text:Use a t-test to 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 = 52,600, α = 0.10 Sample statistics: x̄ = 52,489, s = 1400, n = 19 - Click the icon to view the t-distribution table. Options for Hypotheses: A. H₀: μ ≤ 52,600 Hₐ: μ > 52,600 B. H₀: μ = 52,600 Hₐ: μ ≠ 52,600 C. H₀: μ ≥ 52,600 Hₐ: μ < 52,600 D. H₀: μ ≠ 52,600 Hₐ: μ = 52,600 Correct Answer: B. H₀: μ = 52,600 Hₐ: μ ≠ 52,600 What is the value of the standardized test statistic? The standardized test statistic is t = -0.35 (Round to two decimal places as needed.) What is(are) the critical value(s)? The critical value(s) is(are) ____ (Round to three decimal places as needed. Use a comma to separate answers as needed.) (Note: The blank space for the critical value(s) suggests the value needs to be calculated based on the t-distribution table and the specified level of significance.)
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