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Math Help - hypothesis tests help

  1. #1
    Member Jason Bourne's Avatar
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    hypothesis tests help

    1.Inspectors investigated a random sample of 10 of the 13 amp fuses manufactured by a certain company. The maximum currents which these 10 fuses carried before blowing had sample mean 13.28 amps. The maximum current (in amps) which fuses of this type can carry is believed to be
    normally distributed with mean and standard deviation 0.5. Test the hypothesis that \mu= 13
    against the alternative \mu not equal to 13.

    2.Stoned dates are sold in packets of nominal weight 500 g. It is believed that the weight (in g) of
    such packets is normally distributed with mean \mu and standard deviation 9.5. The actual weights
    of stoned dates in a sample of 10 packets had sample mean 493 g. After stating both the null and
    alternative hypotheses, and specifying any assumptions made, assess the evidence that \mu < 500.
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  2. #2
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    Quote Originally Posted by Jason Bourne View Post
    1.Inspectors investigated a random sample of 10 of the 13 amp fuses manufactured by a certain company. The maximum currents which these 10 fuses carried before blowing had sample mean 13.28 amps. The maximum current (in amps) which fuses of this type can carry is believed to be

    normally distributed with mean and standard deviation 0.5. Test the hypothesis that \mu= 13
    against the alternative \mu not equal to 13.

    2.Stoned dates are sold in packets of nominal weight 500 g. It is believed that the weight (in g) of
    such packets is normally distributed with mean \mu and standard deviation 9.5. The actual weights
    of stoned dates in a sample of 10 packets had sample mean 493 g. After stating both the null and
    alternative hypotheses, and specifying any assumptions made, assess the evidence that \mu < 500.
    These two questions are pretty generic .... Where abouts are you stuck?
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