Question

1. You are interested in studying test anxiety in college students in statistics classes. To do this, you draw a random sample of 220 students and they have a mean anxiety score of 18.2 with a s.d. of 5.4. Anxiety scores are normally distributed in your sample. a.) Assume that a randomly selected case from the large sample (n=220) was xi = 21. What is this student's percentile rank for anxiety? b.) What are the two raw scores between which 95% of scores in the sample will fall? c.) Calculate the 95% confidence interval around the sample mean. Interpret what this tells you. d.) Now assume that data from a large nationally representative study shows that students across the nation have an average anxiety level of 19 (this is ?). Compare this population value to the interval you calculated in 1c above? Interpret what this tells you about the difference between your sample mean and the population mean.

          1. You are interested in studying test anxiety in college students in statistics classes. To do this, you draw a random sample of 220 students and they have a mean anxiety score of 18.2 with a s.d. of 5.4. Anxiety scores are normally distributed in your sample.
a.) Assume that a randomly selected case from the large sample (n=220) was xi = 21. What is this student's percentile rank for anxiety?

b.) What are the two raw scores between which 95% of scores in the sample will fall?

c.) Calculate the 95% confidence interval around the sample mean. Interpret what this tells you.

d.) Now assume that data from a large nationally representative study shows that students across the nation have an average anxiety level of 19 (this is ?). Compare this population value to the interval you calculated in 1c above? Interpret what this tells you about the difference between your sample mean and the population mean.

1. You are interested in studying test anxiety in college students in statistics classes. To do this, you draw a random sample of 220 students and they have a mean anxiety score of 18.2 with a s.d. of 5.4. Anxiety scores are normally distributed in your sample.
a.) Assume that a randomly selected case from the large sample (n=220) was xi = 21. What is this student's percentile rank for anxiety?

b.) What are the two raw scores between which 95% of scores in the sample will fall?

c.) Calculate the 95% confidence interval around the sample mean. Interpret what this tells you.

d.) Now assume that data from a large nationally representative study shows that students across the nation have an average anxiety level of 19 (this is ?). Compare this population value to the interval you calculated in 1c above? Interpret what this tells you about the difference between your sample mean and the population mean.

Added by Clara T.

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