Question

In: Statistics and Probability

1. My mom has been in pain due to a pinched nerve on her spine. She...

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.

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