Find the standardized test statistic t for a sample with n= 12, x=11.2, s=2.2, and a 0.01 if Ho: u= 10. Round your answer to two decimal places. ..... O A. 1.99 O B. 2.00 O C. 1.89 O D. 2.13 Calculator Type here to search 近
Find the standardized test statistic t for a sample with n= 12, x=11.2, s=2.2, and a 0.01 if Ho: u= 10. Round your answer to two decimal places. ..... O A. 1.99 O B. 2.00 O C. 1.89 O D. 2.13 Calculator Type here to search 近
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...
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![**Question:**
Find the standardized test statistic \( t \) for a sample with \( n = 12 \), \( \bar{x} = 11.2 \), \( s = 2.2 \), and \(\alpha = 0.01 \) if \( H_0: \mu = 10 \). Round your answer to two decimal places.
**Options:**
- A. 1.99
- B. 2.00
- C. 1.89
- D. 2.13
---
**Explanation:**
This question is asking you to calculate the t-statistic for a sample mean when the population mean under the null hypothesis is known. The formula for the t-statistic in this context is:
\[ t = \frac{\bar{x} - \mu}{s/\sqrt{n}} \]
Where:
- \(\bar{x}\) is the sample mean.
- \(\mu\) is the population mean under the null hypothesis.
- \(s\) is the sample standard deviation.
- \(n\) is the sample size.
Plug in the given values:
- \(\bar{x} = 11.2\)
- \(\mu = 10\)
- \(s = 2.2\)
- \(n = 12\)
The options provided for the t-statistic calculation are 1.99, 2.00, 1.89, and 2.13. Once you perform the calculation with the above formula, compare your result with these options and select the appropriate one.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02fc7836-9552-4a6b-92e4-0fb932880b81%2Fd9cbdbb1-89c7-45a1-8a35-56b116e6a459%2Fq792hig_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
Find the standardized test statistic \( t \) for a sample with \( n = 12 \), \( \bar{x} = 11.2 \), \( s = 2.2 \), and \(\alpha = 0.01 \) if \( H_0: \mu = 10 \). Round your answer to two decimal places.
**Options:**
- A. 1.99
- B. 2.00
- C. 1.89
- D. 2.13
---
**Explanation:**
This question is asking you to calculate the t-statistic for a sample mean when the population mean under the null hypothesis is known. The formula for the t-statistic in this context is:
\[ t = \frac{\bar{x} - \mu}{s/\sqrt{n}} \]
Where:
- \(\bar{x}\) is the sample mean.
- \(\mu\) is the population mean under the null hypothesis.
- \(s\) is the sample standard deviation.
- \(n\) is the sample size.
Plug in the given values:
- \(\bar{x} = 11.2\)
- \(\mu = 10\)
- \(s = 2.2\)
- \(n = 12\)
The options provided for the t-statistic calculation are 1.99, 2.00, 1.89, and 2.13. Once you perform the calculation with the above formula, compare your result with these options and select the appropriate one.
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