Type of therapy to reduce depression

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Clinical psychologists developed a new type of therapy to reduce depression. The psychologists randomly select an incoming patient to receive the new form of therapy instead of the usual therapy. After 4 weeks, the patient scores 34 on a standard depression scale. For those who receive the usual therapy, their depression after 4 weeks is normally distributed with μ = 69.5 and σ = 14.1.

Population 1:

Population 2:

Research Hypothesis:

Null Hypothesis:

To convert the sample score to Z score use: Z = (X - M) / SD

Sample Score: Z=

Is this a one tailed or two tailed hypothesis?

I want to be sure that my result can only happen 1% of the time if the null hypothesis is true. Use the Z-table to find out what the cutoff should be.

Cutoff Z-Score: Z=

Decision:

Interpretation:

Reference no: EM131658682

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