group able. Assume that the two samples are independent simple random samples μ d from normally distributed populations, and do not assume that the population n d deviations are equal. Use a 0.05 significance level for both parts. X S statistic, t, is type your answer... two decimal places as needed.) alue is type your answer H1 25 2.38 0.91 H₂ 40 2.62 0.61

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
**Study Analysis: Treatment vs. Placebo Group**

A study was conducted to compare a treatment group and a placebo group. The results are summarized in the table below. The assumption is that two samples are independent, simple random samples drawn from normally distributed populations. The population standard deviations are not assumed to be equal. A significance level of 0.05 is used for both parts of the analysis.

**Table of Results:**

|          | Treatment (\(\mu_1\)) | Placebo (\(\mu_2\)) |
|----------|-----------------------|---------------------|
| \(n\)    | 25                    | 40                  |
| \(\bar{x}\) | 2.38                  | 2.62                |
| \(s\)    | 0.91                  | 0.61                |

- \(n\) is the sample size.
- \(\bar{x}\) is the sample mean.
- \(s\) is the sample standard deviation.

**Tasks:**

1. Calculate the test statistic \(t\).

   Enter your answer: ____________  
   *(Round to two decimal places as needed.)*

2. Determine the P-value.

   Enter your answer: ____________  
   *(Round to three decimal places as needed.)*
Transcribed Image Text:**Study Analysis: Treatment vs. Placebo Group** A study was conducted to compare a treatment group and a placebo group. The results are summarized in the table below. The assumption is that two samples are independent, simple random samples drawn from normally distributed populations. The population standard deviations are not assumed to be equal. A significance level of 0.05 is used for both parts of the analysis. **Table of Results:** | | Treatment (\(\mu_1\)) | Placebo (\(\mu_2\)) | |----------|-----------------------|---------------------| | \(n\) | 25 | 40 | | \(\bar{x}\) | 2.38 | 2.62 | | \(s\) | 0.91 | 0.61 | - \(n\) is the sample size. - \(\bar{x}\) is the sample mean. - \(s\) is the sample standard deviation. **Tasks:** 1. Calculate the test statistic \(t\). Enter your answer: ____________ *(Round to two decimal places as needed.)* 2. Determine the P-value. Enter your answer: ____________ *(Round to three decimal places as needed.)*
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON