The level of lead in the blood was determined for a sample of 152 male hazardous

Question

The level of lead in the blood was determined for a sample of 152 male hazardous waste workers age 20-30 and also for a sample of 86 female workers resulting in a mean ± standard error of 5.7 ± 0.3 for the men and 3.8 ± 0.2 for the women. Calculate an estimate of the difference between true average blood lead levels for male and female workers in a way that provides information about reliability and precision. (Use a 95% confidence interval. Round your answers to two decimal places.) Interpret the interval We cannot draw a conclusion from the given information we are 95% confident that the true average blood lead level for male workers is greater than that of female workers by an amount outside the confidence interval. we are 95% confident that the true average blood lead level for male workers is less than that of female workers by an amount within the confidence interval we are 95% confident that the true average blood lead level for male workers is greater than that of female workers by an amount within the confidence interval.

Explanation / Answer

The statistical software output for this problem is:

Two sample T summary confidence interval:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
(without pooled variances)

95% confidence interval results:

Hence,

95% confidence interval will be:

(1.19, 2.61)

Interpretation: Option D is correct.

Difference Sample Diff. Std. Err. DF L. Limit U. Limit 1 - 2 1.9 0.36055513 233.2131 1.1896385 2.6103615

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