The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,500 hours. The population standard deviation is 1,000 hours. A random sample of 64 CFLs indicates a sample mean life of 7,250 hours.   Match the followings concepts to their correct interpretations in the context of the question:                                                             Null hypothesis                                                             Alternative hypothesis                                                             Type I error                                                             Type II error A. The mean life of a large shipment of CFLs is equal to 7,500 hours. B. The mean life of a large shipment of CFLs is equal to 7,500 hours and you conclude that it is not equal to 7,500 hours. C. The mean life of a large shipment of CFLs is not equal to 7,500 hours. D. The mean life of a large shipment of CFLs is not equal to 7,500 hours and you conclude that it is equal to 7,500 hours.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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  1. The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,500 hours. The population standard deviation is 1,000 hours. A random sample of 64 CFLs indicates a sample mean life of 7,250 hours.

     

    Match the followings concepts to their correct interpretations in the context of the question:

                                                               

    Null hypothesis

                                                               

    Alternative hypothesis

                                                               

    Type I error

                                                               

    Type II error

    A.

    The mean life of a large shipment of CFLs is equal to 7,500 hours.

    B.

    The mean life of a large shipment of CFLs is equal to 7,500 hours and you conclude that it is not equal to 7,500 hours.

    C.

    The mean life of a large shipment of CFLs is not equal to 7,500 hours.

    D.

    The mean life of a large shipment of CFLs is not equal to 7,500 hours and you conclude that it is equal to 7,500 hours.

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