The variance of the waiting times of the customers

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The manager of a video library would like the variance of the waiting times of the customers not to exceed 2.30 minutes-squared. He would like to add an additional billing counter if the variance exceeds the cut-off. He checks the recent sample data. For a random sample of 24 customer waiting times, he arrives at a sample variance of 3.8 minutes-squared. The manager assumes the waiting times to be normally distributed. Which of the following would be null and the alternate hypothesis to test if the cut-off is surpassed? H subscript 0 colon space sigma squared less or equal than 2.3 comma space H subscript A colon end subscript space sigma squared greater than 2.3 H subscript 0 colon sigma squared equals 2.3 comma space H subscript A colon sigma squared not equal to 2.3 H subscript 0 colon sigma squared greater or equal than 2.3 comma space H subscript A colon end subscript sigma squared less than 2.3 H subscript 0 colon sigma squared less than 2.3 comma space H subscript A colon sigma squared greater or equal than 2.3.

Reference no: EM132063926

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