A sample of 57 observations for alcohol levels randomly taken on Highway 6 at 3am on Saturday, resulted in a mean of 0.057 and a variance of 0.006724 respectively. Construct a 90% confidence interval on the population mean alcohol level in this situation. O (0.0290: 0.0850) O (0.317: 0.082) O (0.0357; 0.0783) O (-0.0407; 0.1547 O (0.0391; 0.0749)

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**Statistical Analysis: Constructing a Confidence Interval**

*Scenario:*

A sample of 57 observations for alcohol levels, randomly taken on Highway 6 at 3 a.m. on a Saturday, resulted in the following statistics:
- Mean = 0.057
- Variance = 0.006724

*Objective:*

Construct a 90% confidence interval for the population mean alcohol level in this scenario.

*Options:*

- (0.0290, 0.0850)
- (0.0317, 0.0820)
- (0.0357, 0.0783)
- (-0.0407, 0.1547)
- (0.0391, 0.0749)

*Analysis:*

Select the correct confidence interval from the options provided, ensuring it represents a 90% confidence level for the mean alcohol level based on the given mean and variance.
Transcribed Image Text:**Statistical Analysis: Constructing a Confidence Interval** *Scenario:* A sample of 57 observations for alcohol levels, randomly taken on Highway 6 at 3 a.m. on a Saturday, resulted in the following statistics: - Mean = 0.057 - Variance = 0.006724 *Objective:* Construct a 90% confidence interval for the population mean alcohol level in this scenario. *Options:* - (0.0290, 0.0850) - (0.0317, 0.0820) - (0.0357, 0.0783) - (-0.0407, 0.1547) - (0.0391, 0.0749) *Analysis:* Select the correct confidence interval from the options provided, ensuring it represents a 90% confidence level for the mean alcohol level based on the given mean and variance.
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