Question3 Two types of flares are tested and their burning times are recorded. A

Question

Question3 Two types of flares are tested and their burning times are recorded. A random sample of 35 from Brand X yielded a mean fo 19.4 min and a standard deviation of 1.4 min. A random sample of 32 from Brand Y yielded a mean of 15.1 min and a standard deviation of 8 min. Construct a 95% confidence interval for the differences between the mean burning time of the brand X flare and the mean burning time of the brand Y flare. (use Brand X - Brand Y O (3.76 min, 4.84 min) O (3.75 min, 4.85 min) (3.56 min, 5.04 min) O (3.74 min, 4.86 min)

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:

(3.75 min, 4.85 min)

Option B is correct.

Difference Sample Diff. Std. Err. DF L. Limit U. Limit 1 - 2 4.3 0.27255406 54.064735 3.753577 4.846423

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