A researcher suspects the mean trough (the lowest dosage of medication required to see clinical improvement of symptoms) level for a medication used to treat arthritis is higher than was previously reported in other studies. If previous studies found the mean trough level of the population to be 3.7 micrograms/mL, and the researcher conducts a study among 93 newly diagnosed arthritis patients and finds the mean trough to be 6.1 micrograms/mL with a standard deviation of 2.4 micrograms/mL, for a level of significance of 1%, what should the researcher’s decision rule look like?     Reject H0 if z is less than or equal to –2.326.     Reject H0 if z is greater than or equal to 2.326.     Reject H0 if z is less than or equal to –2.576.     Reject H0 if z is greater than or equal to 2.5760

MATLAB: An Introduction with Applications
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  1. A researcher suspects the mean trough (the lowest dosage of medication required to see clinical improvement of symptoms) level for a medication used to treat arthritis is higher than was previously reported in other studies. If previous studies found the mean trough level of the population to be 3.7 micrograms/mL, and the researcher conducts a study among 93 newly diagnosed arthritis patients and finds the mean trough to be 6.1 micrograms/mL with a standard deviation of 2.4 micrograms/mL, for a level of significance of 1%, what should the researcher’s decision rule look like?

       

    Reject H0 if z is less than or equal to –2.326.

       

    Reject H0 if z is greater than or equal to 2.326.

       

    Reject H0 if z is less than or equal to –2.576.

       

    Reject H0 if z is greater than or equal to 2.5760
     

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