Effects of depression medication. In clinical trials of the drug sertraline used for treating depression, subjects were measured using the Hamiltonian depression scale with results given below. Based on these results, test the claim that the two population means are different. Control: ž1 = 22.6, s1 = 2.4, nị = 25 Treatment: 72 = 20.0, s2 = 2.1, n2 = 25 The hypotheses for this test are: O H: Hcontrol = Hereatment H: Hcontrol > Htreatment O H;: Hcontrol = Htreatment H3: Hcontrol = Ptreatment O H: Hcontrol - Pereatment H3: Hcontrol < Htreatment The p-value is: |(please round to three significant figures) Interpret the result of the hypothesis test in the context of the problem: O There is sufficient evidence the means are different and thus the medication has an effect. O There is not sufficient evidence that the means are the same and thus the medication may have an effect. O There is not sufficient evidence the means are different so we don't know if the medication has an effect. O There is evidence that the means are the same and thus the medication does not have an effect. Use 2-SampTint to construct a 95% confidence interval for the difference between the population means. ) (please round to two decimal places)

MATLAB: An Introduction with Applications
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Effects of depression medication. In clinical trials of the drug sertraline used for treating depression,
subjects were measured using the Hamiltonian depression scale with results given below. Based on these
results, test the claim that the two population means are different.
Control: 1 = 22.6, s1 = 2.4, 11 = 25
Treatment: I2 = 20.0, s2 = 2.1, n2 = 25
The hypotheses for this test are:
O H: Hcontrol" Hereatment
H3: Hcontrol > Ptreatment
O H;: Hcontrol = Pereatment
Hạ: Pcontrol * Ptreatment
O H.: Hcontrol = Ptreatment
Hạ: Hcontrol < Ptreatment
The p-value is:
(please round to three significant figures)
Interpret the result of the hypothesis test in the context of the problem:
O There is sufficient evidence the means are different and thus the medication has an effect.
O There is not sufficient evidence that the means are the same and thus the medication may have an
effect.
O There is not sufficient evidence the means are different so we don't know if the medication has an
effect.
O There is evidence that the means are the same and thus the medication does not have an effect.
Use 2-SampTint to construct a 95% confidence interval for the difference between the population means.
) (please round to two decimal places)
Transcribed Image Text:Effects of depression medication. In clinical trials of the drug sertraline used for treating depression, subjects were measured using the Hamiltonian depression scale with results given below. Based on these results, test the claim that the two population means are different. Control: 1 = 22.6, s1 = 2.4, 11 = 25 Treatment: I2 = 20.0, s2 = 2.1, n2 = 25 The hypotheses for this test are: O H: Hcontrol" Hereatment H3: Hcontrol > Ptreatment O H;: Hcontrol = Pereatment Hạ: Pcontrol * Ptreatment O H.: Hcontrol = Ptreatment Hạ: Hcontrol < Ptreatment The p-value is: (please round to three significant figures) Interpret the result of the hypothesis test in the context of the problem: O There is sufficient evidence the means are different and thus the medication has an effect. O There is not sufficient evidence that the means are the same and thus the medication may have an effect. O There is not sufficient evidence the means are different so we don't know if the medication has an effect. O There is evidence that the means are the same and thus the medication does not have an effect. Use 2-SampTint to construct a 95% confidence interval for the difference between the population means. ) (please round to two decimal places)
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