# A researcher suspects the mean trough the lowest

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2. 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, calculate the z value for the test statistic. At 1% level of significance.
Multiple Choice 3. 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?
Multiple Choice 4. 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 conclusion be?
[2] We have significant evidence at the 1% level to reject H 0 in favor of H 1 because –9.59 is less than –2.326 and determine the mean trough level for the medication to be higher than 3.7 micrograms/mL. [3] We have significant evidence at the 1% level to reject H in favor of H because 9.64 is
0 1 greater than 2.326 and determine the mean trough level for the medication to be higher than 3.7 micrograms/mL. [4] We have significant evidence at the 1% level to reject H 0 in favor of H 1 because 9.59 is greater than 2.576 and determine the mean trough level for the medication to be higher than 3.7