Use technology to help you test the claim about the population mean, p, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: u> 1220; a= 0.07; o = 214.98. Sample statistics: x = 1251.23, n= 275 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: u> 1220 O B. Ho: H2 1220 Ha us 1220 H u< 1220 OC. Ho: u2 1251.23 H p<1251.23 Ο D. H : μs 1220 H: u> 1220 O E. Ho H> 1251.23 Ha us 1251.23 OF. Ho us 1251.23 Ha u> 1251.23 Calculate the standardized test statistic. The standardized test statistic is. (Round to two decimal places as needed.) Determine the P-value.

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**Hypothesis Testing on Population Mean**

Use technology to help you test the claim about the population mean, \( \mu \), at the given level of significance, \( \alpha \), using the given sample statistics. Assume the population is normally distributed.

- **Claim:** \( \mu > 1220 \)
- **Significance Level:** \( \alpha = 0.07 \)
- **Population Standard Deviation:** \( \sigma = 214.98 \)
- **Sample Statistics:** \( \bar{x} = 1251.23 \), \( n = 275 \)

**Identify the Null and Alternative Hypotheses: Choose the Correct Answer Below:**

- **A.** \( H_0: \mu \leq 1220 \)  
  \( H_a: \mu > 1220 \)

- **B.** \( H_0: \mu \geq 1220 \)  
  \( H_a: \mu < 1220 \)

- **C.** \( H_0: \mu \geq 1251.23 \)  
  \( H_a: \mu < 1251.23 \)

- **D.** \( H_0: \mu \leq 1220 \)  
  \( H_a: \mu > 1220 \)

- **E.** \( H_0: \mu = 1251.23 \)  
  \( H_a: \mu \neq 1251.23 \)

**Calculate the Standardized Test Statistic:**

The standardized test statistic is \_\_\_ (Round to two decimal places as needed.)

**Determine the P-value:**

---

This section of the educational content assists in understanding hypothesis testing for a population mean, employing statistical data and demonstrating the process of choosing hypotheses, calculating test statistics, and determining P-values.
Transcribed Image Text:**Hypothesis Testing on Population Mean** Use technology to help you test the claim about the population mean, \( \mu \), at the given level of significance, \( \alpha \), using the given sample statistics. Assume the population is normally distributed. - **Claim:** \( \mu > 1220 \) - **Significance Level:** \( \alpha = 0.07 \) - **Population Standard Deviation:** \( \sigma = 214.98 \) - **Sample Statistics:** \( \bar{x} = 1251.23 \), \( n = 275 \) **Identify the Null and Alternative Hypotheses: Choose the Correct Answer Below:** - **A.** \( H_0: \mu \leq 1220 \) \( H_a: \mu > 1220 \) - **B.** \( H_0: \mu \geq 1220 \) \( H_a: \mu < 1220 \) - **C.** \( H_0: \mu \geq 1251.23 \) \( H_a: \mu < 1251.23 \) - **D.** \( H_0: \mu \leq 1220 \) \( H_a: \mu > 1220 \) - **E.** \( H_0: \mu = 1251.23 \) \( H_a: \mu \neq 1251.23 \) **Calculate the Standardized Test Statistic:** The standardized test statistic is \_\_\_ (Round to two decimal places as needed.) **Determine the P-value:** --- This section of the educational content assists in understanding hypothesis testing for a population mean, employing statistical data and demonstrating the process of choosing hypotheses, calculating test statistics, and determining P-values.
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 > 1220; α = 0.07; σ = 214.98. Sample statistics: x̄ = 1251.23, n = 275

- Ha: μ < 1251.23
- Ha: μ > 1220
- H0: μ ≤ 1251.23
- Ha: μ > 1251.23

Calculate the standardized test statistic.

The standardized test statistic is [box for input] (Round to two decimal places as needed.)

Determine the P-value.

P = [box for input] (Round to three decimal places as needed.)

Determine the outcome and conclusion of the test.

[Dropdown menu] H0: At the 7% significance level, there [dropdown menu] enough evidence to [dropdown menu] the claim.
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 > 1220; α = 0.07; σ = 214.98. Sample statistics: x̄ = 1251.23, n = 275 - Ha: μ < 1251.23 - Ha: μ > 1220 - H0: μ ≤ 1251.23 - Ha: μ > 1251.23 Calculate the standardized test statistic. The standardized test statistic is [box for input] (Round to two decimal places as needed.) Determine the P-value. P = [box for input] (Round to three decimal places as needed.) Determine the outcome and conclusion of the test. [Dropdown menu] H0: At the 7% significance level, there [dropdown menu] enough evidence to [dropdown menu] the claim.
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