Listed below are the lead concentrations in pg/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all su medicines is less than 18 ug/g. Assume that the sample is a simple random sample. 8.5 18.5 6.5 22.5 17 10 7 18.5 16.5 5 0 Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? O B. Ho: H= 18 ug/g Ο Α. Ho μ> 18 μgg H,: u< 18 pg/g H,: u# 18 ug/g O C. Ho: H= 18 ug/g H, p> 18 µg/g O D. Ho: H= 18 ug/g H μ< 18 μg/g Determine the test statistic. O (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. V Hn. There is V evidence to conclude that the mean lead concentration for all such medicines is 18 μgg

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
100%

Hi Wonderful Bartleby Team,

I need ASAP help with this stats problem, Please provide answer for all the parts. Thanks a lot in advance.

The last answer is (Reject/Fail to Reject) (Sufficient/Not Sufficient) (Less than/ Greater than/ Not/ Equal to)

### Hypothesis Testing for Lead Concentration in Traditional Medicines

This analysis aims to test the hypothesis that the mean lead concentration in traditional medicines is less than 18 µg/g. The significance level is set at 0.05, assuming the sample is a simple random sample. The measured lead concentrations in µg/g are as follows:

- Sample data: 8.5, 18.5, 6.5, 22.5, 17, 10, 7, 18.5, 16.5, 5

#### Hypothesis Formulation

Determine the null and alternative hypotheses:

- **Option A:**
  - \(H_0: \mu > 18 \, \text{µg/g}\)
  - \(H_1: \mu < 18 \, \text{µg/g}\)

- **Option B:**
  - \(H_0: \mu = 18 \, \text{µg/g}\)
  - \(H_1: \mu \neq 18 \, \text{µg/g}\)

- **Option C:**
  - \(H_0: \mu = 18 \, \text{µg/g}\)
  - \(H_1: \mu > 18 \, \text{µg/g}\)

- **Option D:**
  - \(H_0: \mu = 18 \, \text{µg/g}\)
  - \(H_1: \mu < 18 \, \text{µg/g}\)

Assume all conditions for conducting a hypothesis test are met.

#### Statistical Analysis

1. **Determine the Test Statistic:**
   - Calculate the appropriate test statistic based on the sample data.
   - Round the result to two decimal places as needed.

2. **Determine the P-Value:**
   - Calculate the p-value that corresponds to the test statistic.
   - Round the result to three decimal places as needed.

#### Conclusion

After calculating the test statistic and p-value, state the conclusion about the original claim:

- Fill in the blanks: **Reject** or **Fail to Reject** \(H_0\).
- State whether there is **sufficient** or **insufficient** evidence to conclude that the mean lead concentration for all such medicines is \(< 18 \, \text{µg/g}\).

The outcome of this hypothesis
Transcribed Image Text:### Hypothesis Testing for Lead Concentration in Traditional Medicines This analysis aims to test the hypothesis that the mean lead concentration in traditional medicines is less than 18 µg/g. The significance level is set at 0.05, assuming the sample is a simple random sample. The measured lead concentrations in µg/g are as follows: - Sample data: 8.5, 18.5, 6.5, 22.5, 17, 10, 7, 18.5, 16.5, 5 #### Hypothesis Formulation Determine the null and alternative hypotheses: - **Option A:** - \(H_0: \mu > 18 \, \text{µg/g}\) - \(H_1: \mu < 18 \, \text{µg/g}\) - **Option B:** - \(H_0: \mu = 18 \, \text{µg/g}\) - \(H_1: \mu \neq 18 \, \text{µg/g}\) - **Option C:** - \(H_0: \mu = 18 \, \text{µg/g}\) - \(H_1: \mu > 18 \, \text{µg/g}\) - **Option D:** - \(H_0: \mu = 18 \, \text{µg/g}\) - \(H_1: \mu < 18 \, \text{µg/g}\) Assume all conditions for conducting a hypothesis test are met. #### Statistical Analysis 1. **Determine the Test Statistic:** - Calculate the appropriate test statistic based on the sample data. - Round the result to two decimal places as needed. 2. **Determine the P-Value:** - Calculate the p-value that corresponds to the test statistic. - Round the result to three decimal places as needed. #### Conclusion After calculating the test statistic and p-value, state the conclusion about the original claim: - Fill in the blanks: **Reject** or **Fail to Reject** \(H_0\). - State whether there is **sufficient** or **insufficient** evidence to conclude that the mean lead concentration for all such medicines is \(< 18 \, \text{µg/g}\). The outcome of this hypothesis
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar 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