A health agency suggested that a healthy total cholesterol measurement should be 200 mg/dL or less. Records from 50 randomly and independently selected people from a study conducted by the agency showed the results in the technology output given below. Test the hypothesis that the mean cholesterol level is more than 200 using a significance level of 0.05. Assume that conditions are met. Test of µ = 200 vs > 200 μ N 50 Mean 208.83 O D. Ho: μ> 200 Hg: μ ≤ 200 One-Sample T StDev 39.85 SE Mean 5.64 Since the p-value is T 1.57 Determine the null and alternative hypotheses. Choose the correct answer below. O A. Ho: μ #200 OB. Ho: μ = 200 Ha: μ<200 Ha: μ = 200 P 0.061 O E. Ho: μ<200 H₂:μ ≥200 The test statistic is. (Type an integer or decimal rounded to two decimal places as needed.) The p-value is 0.061. (Type an integer or decimal rounded to three decimal places as needed.) Interpret the results of the test. the significance level, the moon cholesterol level in ore than 200 mald! at a significance level of 0.05 OC. Ho: μ = 200 Ha: μ>200 OF. Ho: μ = 200 Ha: μ#200 Ho. There is evidence to conclude tha

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A health agency suggested that a healthy total cholesterol measurement should be 200 mg/dL or less. Records from 50 randomly and independently selected people from a study conducted by the agency showed the results in the technology output given below. Test the hypothesis that the mean cholesterol level is more than 200 using a significance level of 0.05. Assume that conditions are met.

**One-Sample T Test**
- **Test of μ = 200 vs > 200**

| N  | Mean  | StDev | SE Mean | T   | P    |
|----|-------|-------|---------|-----|------|
| 50 | 208.83| 39.85 | 5.64    | 1.57| 0.061|

---

**Determine the null and alternative hypotheses. Choose the correct answer below.**

- A. \( H_0: \mu \neq 200 \)  \( H_a: \mu = 200 \)
- B. \( H_0: \mu = 200 \)  \( H_a: \mu < 200 \)
- C. \( H_0: \mu = 200 \)  \( H_a: \mu > 200 \)
- D. \( H_0: \mu > 200 \)  \( H_a: \mu \leq 200 \)
- E. \( H_0: \mu < 200 \)  \( H_a: \mu \geq 200 \)
- F. \( H_0: \mu = 200 \)  \( H_a: \mu \neq 200 \)

**The test statistic is** [     ].
(Type an integer or decimal rounded to two decimal places as needed.)

**The p-value is** 0.061.
(Type an integer or decimal rounded to three decimal places as needed.)

**Interpret the results of the test.**

Since the p-value is [      ] the significance level, [     ] \( H_0 \). There is [         ] evidence to conclude that the mean cholesterol level is more than 200 mg/dL at a significance level of 0.05.
Transcribed Image Text:A health agency suggested that a healthy total cholesterol measurement should be 200 mg/dL or less. Records from 50 randomly and independently selected people from a study conducted by the agency showed the results in the technology output given below. Test the hypothesis that the mean cholesterol level is more than 200 using a significance level of 0.05. Assume that conditions are met. **One-Sample T Test** - **Test of μ = 200 vs > 200** | N | Mean | StDev | SE Mean | T | P | |----|-------|-------|---------|-----|------| | 50 | 208.83| 39.85 | 5.64 | 1.57| 0.061| --- **Determine the null and alternative hypotheses. Choose the correct answer below.** - A. \( H_0: \mu \neq 200 \) \( H_a: \mu = 200 \) - B. \( H_0: \mu = 200 \) \( H_a: \mu < 200 \) - C. \( H_0: \mu = 200 \) \( H_a: \mu > 200 \) - D. \( H_0: \mu > 200 \) \( H_a: \mu \leq 200 \) - E. \( H_0: \mu < 200 \) \( H_a: \mu \geq 200 \) - F. \( H_0: \mu = 200 \) \( H_a: \mu \neq 200 \) **The test statistic is** [ ]. (Type an integer or decimal rounded to two decimal places as needed.) **The p-value is** 0.061. (Type an integer or decimal rounded to three decimal places as needed.) **Interpret the results of the test.** Since the p-value is [ ] the significance level, [ ] \( H_0 \). There is [ ] evidence to conclude that the mean cholesterol level is more than 200 mg/dL at a significance level of 0.05.
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