[SOLUTION] Statistics

1) Calculate a 95% and 99% confidence interval for the following data set. Note: this is a sample. Show your steps including the mean, z-score, standard deviation, and standard error that you use.12 10 18 16 11 10 9 17 6 1310 20 21 24 18 17 19 12 11 102) In an experimental treatment, a random individual scores 51 on a measurement. People in general are normally distributed with a mean of 37 and a standard deviation of 7. The researcher predicts that the treatment will create an effect on the subject, but does not specify if the measurement will increase or decrease. Using a 5% significance level (p < .05), what conclusions should this researcher make about the treatment. Utilize the five-step hypothesis testing process and show all of yourwork.3) For this activity, utilize the five-step process and the following data set.The two populations are:Population A_Mean=36, SD=4Population B:(sample of one): Raw Score=44Set up a one-tail Z test evaluating the improvement of a score, presenting the following:Restate the research question as a research hypothesis and a null hypothesis about the populations.Determine the characteristics of the comparison distribution.Determine the cutoff sample score on the comparison distribution at which the null hypothesis should be rejected.Determine your samples score on the comparison distribution.Decide whether to reject the null hypothesis.

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[SOLUTION] Statistics
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