Do Homework-Edgar Antonyan-Google Chrome Secure l https://www.mathxl.com/Student

Question

Do Homework-Edgar Antonyan-Google Chrome Secure l https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkId=440 Introduction to Statistics-Fall 2017 Web Homework: Hwk7-3 Save Score: 0 of 1 pt 9 of 11 (4 complete) HW Score: 36.36% 7.3.23 Question Help In a study designed to test the effectiveness of magnets for treating back pain, 40 patients were given a treatment with magnets and also a sham treatment without magnets. Pain was measured using a scale from 0 (no pain) to 100 (extreme pain). After given the magnet treatments, the 40 patients had pain scores with a mean of 7.0 and a standard deviation of 2 4. After being given the sham treatments, the 40 patients had pain scores with a mean of 5.1 and a standard deviation of 2.2. Complete parts (a) through (c) below Click here to view a t distribution table Click here to view page 1 of the standard normal distribution table Click here to view page 2 of the standard normal distribution table. a. Construct the 90% confidence interval estimate of the mean pain score for patients given the magnet treatment What is the confidence interval estimate of the population mean ? (Round to one decimal place as needed)

Explanation / Answer

Solution:

From the given information
n = 40, Sample mean x = 7.0
Standard deviation s = 2.4
Hence, the 90% confidence interval estimate of the mean pain score of patients given the magnet treatment is calculated as follows:
Standard error = s/n
= 2.4/40
= 0.3795

Margin of error is,
ME = t/2(s/n)
= 1.65 * 0.3795
= 0.6262
The 95% confidence interval estimate of the mean pain score of patient is,
CI = x ± ME
= 7.0 ± 0.6262
= (6.3738, 7.6262)
Therefore, the confidence interval estimate the population mean is 6.4 < < 7.6

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.