In: Statistics and Probability
1. My mom has been in pain due to a pinched nerve on her spine. She was advised to do some injections to manage some of the pain. I decided to do a little research on my own to learn whether other patients feel any major difference after the injections. A detailed survey is presented to 25 patients and results were recorded in a scale of 1 to 10 to mesure the level of pain after the injection. Use the sample data to construct a 90% confidence interval for the mean pain level for the population (assumed normal) from the following data: 7.4, 0.0, 2.1, 8.1, 7.2, 7.0, 3.2, 6.9, 0.5, 4.3, 2.2, 8.6, 7.8, 8.8, 5.9, 7.9, 1.8, 2.8, 1.7, 8.9, 9.4, 9.6, 4.3, 8.2 and 1.0.
a. What is the average? | ||||
b. What is the standard deviation? | ||||
c. What is the sample size? | ||||
d. What is the degrees of freedom? | ||||
e. What is the distribution to be used? | ||||
f. At 90% confidence interval what t value will you be using? | ||||
g. What is the EBM? | ||||
h. What is the lower bound of the confidence interval? | ||||
i. What is the upper bound of the confidence interval? | ||||
j. Based on the confidence interval that you have calculated, would you say that at 90% confidence interval, would it be worth taking the injection? Why? (remember they are given a scale from 1 to 10, being 1 being no pain difference and 10, major pain relief. | ||||