Researchers are interested in the effect of pet companionship on depression in elderly adults. They randomly select 25 participants from the target population and record their depression scores before and after spending a month with a dog (a higher score indicates a higher level of depression). The researchers then compute the difference scores for each participant (difference after before). The mean of differences is -1 and the standard deviation of differences is 2. Can the researchers conclude that there is an effect of pet companionship on depression in elderly adults? Conduct the appropriate statistical test (two-tailed) with a = .05.

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**The Impact of Pet Companionship on Depression in Elderly Adults: A Statistical Inquiry**

Researchers are interested in the effect of pet companionship on depression in elderly adults. They randomly select 25 participants from the target population and record their depression scores before and after spending a month with a dog (a higher score indicates a higher level of depression). The researchers then compute the difference scores for each participant (difference = after - before). The mean of differences is -1 and the standard deviation of differences is 2. Can the researchers conclude that there is an effect of pet companionship on depression in elderly adults? Conduct the appropriate statistical test (two-tailed) with α = 0.05.

**Critical Values Analysis:**
Which of the following values are the critical values in the analysis?

- ⃝ |2.060|
- ⃝ |2.069|
- ⃝ |1.960|
- ⃝ |2.064|
Transcribed Image Text:**The Impact of Pet Companionship on Depression in Elderly Adults: A Statistical Inquiry** Researchers are interested in the effect of pet companionship on depression in elderly adults. They randomly select 25 participants from the target population and record their depression scores before and after spending a month with a dog (a higher score indicates a higher level of depression). The researchers then compute the difference scores for each participant (difference = after - before). The mean of differences is -1 and the standard deviation of differences is 2. Can the researchers conclude that there is an effect of pet companionship on depression in elderly adults? Conduct the appropriate statistical test (two-tailed) with α = 0.05. **Critical Values Analysis:** Which of the following values are the critical values in the analysis? - ⃝ |2.060| - ⃝ |2.069| - ⃝ |1.960| - ⃝ |2.064|
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