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To evaluate the effect of a treatment for depression, a researcher collected a sample of four individuals with depression, gave the sample the depression treatment, and got an average depression after the medication of 30.
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So our sample mean was 30, with a standard deviation of 4.
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If the population mean is 33, is there enough evidence to suggest the treatment for depression worked? to answer this, conduct a full hypothesis test using the one sample.
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T test with alpha being at the .05 level.
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Include measure of effect size.
00:43
And i am not going to write a paragraph, but i am going to give you all the information that you need to include in your paragraph.
00:53
So our null hypothesis is that mu equals 33, and our alternative hypothesis is that the mu is less than 33.
01:03
So the critical value, the critical value is a t value.
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This is a left -tailed test, so it'll be t with alpha at 0 .05 and a degree of freedom of 3, and that has a value of negative 2 .353.
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The t test, so we will take 30 minus 33, we'll divide that by, 4 and divide the denominator by the square root of 4.
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So our t test statistic is negative 1 .5.
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The effect size...