In families with several children, the first-born tend to be more reserved and serious, whereas the last-born tend to be more outgoing and happy-go-lucky. A psychologist is using a standardized personality inventory to measure the magnitude of this difference. Two samples are used: 8 first-born children and 8 last-born children. Each child is given the personality test. The results are as follows:   First-born Last-born M = 11.4 M = 13.9 SS = 26 SS = 30   Calculate the test statistic and state your conclusion using a two-tailed test at the .05 level of significance. Be sure to state your conclusion.  Calculate the confidence interval at 80%. (Hint: You will need to calculate the pooled variance and estimated standard error)

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In families with several children, the first-born tend to be more reserved and serious, whereas the last-born tend to be more outgoing and happy-go-lucky. A psychologist is using a standardized personality inventory to measure the magnitude of this difference. Two samples are used: 8 first-born children and 8 last-born children. Each child is given the personality test. The results are as follows:

 

First-born

Last-born

M = 11.4

M = 13.9

SS = 26

SS = 30

 

  1. Calculate the test statistic and state your conclusion using a two-tailed test at the .05 level of significance. Be sure to state your conclusion. 
  2. Calculate the confidence interval at 80%. (Hint: You will need to calculate the pooled variance and estimated standard error) 
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