The display provided from technology available below results from using data for a smartphone carrier's data speeds at airports to test the claim that they are from a population having a mean less than 6.00 Mbps. Conduct the hypothesis test using these results. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. Click the icon to view the display from technology. Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? OA. Ho: -6.00 Mbps H₂:#6.00 Mbps C. Ho: 6.00 Mbps H₁: >6.00 Mbps dentify the test statistic. (Round to two decimal places as needed.) dentify the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is evidence to support the claim that the sample is from a population with a mean less than 6.00 Mbps OB. H<6.00 Mbps H₂: 6.00 Mbps OD. H: H: 6.00 Mbps 6.00 Mbps

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### Display from Technology

**T-Test**
- μ = 6.00
- t = -0.204861
- p = 0.419313
- x̄ = 5.84
- Sx = 5.239225
- n = 45

[Print] [Done]

### Explanation of Terms:
- **μ (Population Mean):** The hypothesized population mean (6.00 in this case).
- **t (Test Statistic):** The calculated value of the t-statistic (-0.204861) for the t-test.
- **p (P-value):** The p-value (0.419313) which helps in determining the significance of the test results.
- **x̄ (Sample Mean):** The mean of the sample data (5.84).
- **Sx (Sample Standard Deviation):** The standard deviation of the sample data (5.239225).
- **n (Sample Size):** The number of observations in the sample (45).

### Interpretation:
A t-test has been conducted to test the hypothesis that the population mean (μ) is equal to 6.00. The calculated t-statistic is -0.204861 with a p-value of 0.419313. Given that the p-value is greater than the common significance level of 0.05, we fail to reject the null hypothesis. This suggests that there is not enough evidence to conclude that the population mean differs from 6.00.
Transcribed Image Text:### Display from Technology **T-Test** - μ = 6.00 - t = -0.204861 - p = 0.419313 - x̄ = 5.84 - Sx = 5.239225 - n = 45 [Print] [Done] ### Explanation of Terms: - **μ (Population Mean):** The hypothesized population mean (6.00 in this case). - **t (Test Statistic):** The calculated value of the t-statistic (-0.204861) for the t-test. - **p (P-value):** The p-value (0.419313) which helps in determining the significance of the test results. - **x̄ (Sample Mean):** The mean of the sample data (5.84). - **Sx (Sample Standard Deviation):** The standard deviation of the sample data (5.239225). - **n (Sample Size):** The number of observations in the sample (45). ### Interpretation: A t-test has been conducted to test the hypothesis that the population mean (μ) is equal to 6.00. The calculated t-statistic is -0.204861 with a p-value of 0.419313. Given that the p-value is greater than the common significance level of 0.05, we fail to reject the null hypothesis. This suggests that there is not enough evidence to conclude that the population mean differs from 6.00.
### Hypothesis Testing for Smartphone Carrier's Data Speeds at Airports

The display provided below illustrates the results from using data for a smartphone carrier's data speeds at airports to test the claim that they are from a population having a mean less than 6.00 Mbps. Conduct the hypothesis test using these results. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.

**Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses?**

A. \(H_0: \mu = 6.00\) Mbps 
   \(H_1: \mu \neq 6.00\) Mbps

B. \(H_0: \mu \geq 6.00\) Mbps
   \(H_1: \mu < 6.00\) Mbps

C. \(H_0: \mu = 6.00\) Mbps 
   \(H_1: \mu \neq 6.00\) Mbps

D. \(H_0: \mu = 6.00\) Mbps 
   \(H_1: \mu < 6.00\) Mbps

**Identify the test statistic.**

\[ (Round to two decimal places as needed.) \]

**Identify the P-value.**

\[ (Round to three decimal places as needed.) \]

**State the final conclusion that addresses the original claim.**

\[H_0: \text{There is } \underline{\hspace{3cm}} \text{ evidence to support the claim that the sample is from a population with a mean less than 6.00 Mbps.}\]

To help guide you through the hypothesis testing process, refer to the following steps:

1. **State the Hypotheses:**
   - Null Hypothesis (\(H_0\)): This is a statement that there is no effect or no difference, and it is what we seek to test against. In this case, it may state that the mean data speed is 6.00 Mbps or greater.
   - Alternative Hypothesis (\(H_1\)): This suggests that there is an effect or a difference. It may state that the mean data speed is less than 6.00 Mbps.

2. **Set the Significance Level (\(\alpha\)):**
   - Commonly used
Transcribed Image Text:### Hypothesis Testing for Smartphone Carrier's Data Speeds at Airports The display provided below illustrates the results from using data for a smartphone carrier's data speeds at airports to test the claim that they are from a population having a mean less than 6.00 Mbps. Conduct the hypothesis test using these results. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. **Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses?** A. \(H_0: \mu = 6.00\) Mbps \(H_1: \mu \neq 6.00\) Mbps B. \(H_0: \mu \geq 6.00\) Mbps \(H_1: \mu < 6.00\) Mbps C. \(H_0: \mu = 6.00\) Mbps \(H_1: \mu \neq 6.00\) Mbps D. \(H_0: \mu = 6.00\) Mbps \(H_1: \mu < 6.00\) Mbps **Identify the test statistic.** \[ (Round to two decimal places as needed.) \] **Identify the P-value.** \[ (Round to three decimal places as needed.) \] **State the final conclusion that addresses the original claim.** \[H_0: \text{There is } \underline{\hspace{3cm}} \text{ evidence to support the claim that the sample is from a population with a mean less than 6.00 Mbps.}\] To help guide you through the hypothesis testing process, refer to the following steps: 1. **State the Hypotheses:** - Null Hypothesis (\(H_0\)): This is a statement that there is no effect or no difference, and it is what we seek to test against. In this case, it may state that the mean data speed is 6.00 Mbps or greater. - Alternative Hypothesis (\(H_1\)): This suggests that there is an effect or a difference. It may state that the mean data speed is less than 6.00 Mbps. 2. **Set the Significance Level (\(\alpha\)):** - Commonly used
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