A paint manufacturer made a modification to a paint to speed up its drying time. Independent simple random samples of 11 cans of

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The derived 98% confidence interval for μ1 - μ2, indicating the difference between the average drying durations for paint cans of type A and type B:

4.90 hours < μ1 - μ2 < 17.50 hours.

Answer:

A paint producer enhanced the formulation to reduce drying time. Independent random samples of 11 cans of type A​ (original paint) and 9 cans of type B​ (modified paint) were collected and applied to similar surfaces. Drying times, measured in hours, were documented. The summarized statistics include: Type A Type B x 1x1equals=76.3 hr x 2x2equals=65.1 hr s 1s1equals=4.5 hr s 2s2equals=5.1 hr n 1n1equals=11 n 2n2equals=9 The subsequent 98% confidence interval for μ1 - μ2 indicates that the mean drying time for paint cans of type A exceeds that for type B. What implication does the confidence interval have on the population means?

The mean difference suggested by the 98% confidence interval indicates that drying times for the two paint types are between 4.90 and 17.50 hours. This suggests that Type A paint requires between 4.90 and 17.50 hours longer to dry compared to Type B paint.

Step-by-step explanation:

The mean difference for the 98% confidence interval indicates that drying times for the two paint types lie between (4.90, 17.50). This suggests that Type A paint takes from 4.90 to 17.50 hours more to dry than Type B paint.

The confidence interval consists entirely of positive values, indicating that the average drying time for paint type A exceeds that of paint type B. The adjustment seems effective in minimizing drying times.