At an automobile service center, the labor charges for repairs are based on a standard time specified for each type of repair. The average time specified for a common replacement is one hour with a standard deviation of 0.72 hour. The center’s manager is trying to maintain the quality of service, but with a shorter average time that is not more than 0.85 hour. During a review, the manager selects a random sample of 50 such repair services at a 10% significance level. Determine the probability for the actual average time taken for repairs.

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