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A consumer product review group is evaluating various brands of dishwashers. One characteristic of interest is...

A consumer product review group is evaluating various brands of dishwashers. One characteristic of interest is the length of the run-cycles. The review group has narrowed their top pick down to two brands, Brand A and Brand B. Each dishwasher has multiple settings (normal, sanitize, deep clean, etc.), each of which have different length run cycles (measured in minutes)

Brand A Brand B
Sample Size 11 9
Sample Mean 90 75
Sample Std Dev 6 10

Perform an appropriate test to determine if there is a difference in the average run-cycle for these two brands. Use the P-value approach and a significance level of 10%.

Please state the null hypothesis and the p-value

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