The following data represent the length of time, in days, to recovery for patients randomly treated with one of two medications to clear up severe bladder infections. Find a 90% confidence interval for the difference μ₂-μ₁ between in the mean recovery times for the two medications, assuming normal populations with equal variances. Medication 1 = 13 Medication 2 x₂ = 16 s² = 1.1 Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. n₁ = = 19 n₂ = = 11 x₁ = The confidence interval is

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
The following data represent the length of time, in days, to recovery for patients randomly treated with one of two medications to clear up severe bladder infections. Find a 90% confidence interval for the difference \( \mu_2 - \mu_1 \) between the mean recovery times for the two medications, assuming normal populations with equal variances.

**Medication 1**
- \( n_1 = 13 \)
- \( \bar{x}_1 = 11 \)
- \( s_1^2 = 1.8 \)

**Medication 2**
- \( n_2 = 19 \)
- \( \bar{x}_2 = 16 \)
- \( s_2^2 = 1.1 \)

Links:
- [Click here to view page 1 of the table of critical values of the t-distribution.](#)
- [Click here to view page 2 of the table of critical values of the t-distribution.](#)

---

The confidence interval is \([ \, ] < \mu_2 - \mu_1 < [ \, ] \).
*(Round to two decimal places as needed.)*
Transcribed Image Text:The following data represent the length of time, in days, to recovery for patients randomly treated with one of two medications to clear up severe bladder infections. Find a 90% confidence interval for the difference \( \mu_2 - \mu_1 \) between the mean recovery times for the two medications, assuming normal populations with equal variances. **Medication 1** - \( n_1 = 13 \) - \( \bar{x}_1 = 11 \) - \( s_1^2 = 1.8 \) **Medication 2** - \( n_2 = 19 \) - \( \bar{x}_2 = 16 \) - \( s_2^2 = 1.1 \) Links: - [Click here to view page 1 of the table of critical values of the t-distribution.](#) - [Click here to view page 2 of the table of critical values of the t-distribution.](#) --- The confidence interval is \([ \, ] < \mu_2 - \mu_1 < [ \, ] \). *(Round to two decimal places as needed.)*
A graduate student wanted to estimate the average time spent studying among graduate students at her school. She randomly sampled graduate students from her school and obtained a 99% confidence interval of (17, 25) hours/week. Which of the following would be true if the level of confidence was lowered to 95%?

---

Choose the correct answer below.

- A. The width of the confidence interval would be smaller.
- B. The width of the confidence interval would be larger.
- C. The width of the confidence interval would remain the same.
- D. More information is needed to determine what would happen to the width of the confidence interval.
Transcribed Image Text:A graduate student wanted to estimate the average time spent studying among graduate students at her school. She randomly sampled graduate students from her school and obtained a 99% confidence interval of (17, 25) hours/week. Which of the following would be true if the level of confidence was lowered to 95%? --- Choose the correct answer below. - A. The width of the confidence interval would be smaller. - B. The width of the confidence interval would be larger. - C. The width of the confidence interval would remain the same. - D. More information is needed to determine what would happen to the width of the confidence interval.
Expert Solution
steps

Step by step

Solved in 3 steps with 12 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman