Homework Help is Here – Start Your Trial Now!
Math
Statistics
Use technology to help you test the claim about the population mean, u, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: µ> 1270; a = 0.08; o = 202.75. Sample statistics: x= 1285.42, n= 275 H3: p< 1270 H: u> 1270 O E. Ho u> 1270 OF. Ho: p2 1285.42 H3: us 1270 H3: p< 1285.42 Calculate the standardized test statistic. The standardized test statistic is. (Round to two decimal places as needed.) Determine the P-value. P= (Round to three decimal places as needed.) Determine the outcome and conclusion of the test. Ho. At the 8% significance level, there V enough evidence to V the claim.

Use technology to help you test the claim about the population mean, u, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: µ> 1270; a = 0.08; o = 202.75. Sample statistics: x= 1285.42, n= 275 H3: p< 1270 H: u> 1270 O E. Ho u> 1270 OF. Ho: p2 1285.42 H3: us 1270 H3: p< 1285.42 Calculate the standardized test statistic. The standardized test statistic is. (Round to two decimal places as needed.) Determine the P-value. P= (Round to three decimal places as needed.) Determine the outcome and conclusion of the test. Ho. At the 8% significance level, there V enough evidence to V the claim.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
icon
Concept explainers
Topic Video
Question
**Use technology to help you test the claim about the population mean, \( \mu \), at the given level of significance, \( \alpha \), using the given sample statistics. Assume the population is normally distributed.** **Claim:** \( \mu > 1270 \); \( \alpha = 0.08 \); \( \sigma = 202.75 \). Sample statistics: \( \bar{x} = 1285.42 \), \( n = 275 \). **Identify the null and alternative hypotheses. Choose the correct answer below:** - **A.** \( H_0: \mu = 1285.42 \) \( H_a: \mu > 1285.42 \) - **B.** \( H_0: \mu > 1285.42 \) \( H_a: \mu \leq 1285.42 \) - **C.** \( H_0: \mu = 1270 \) \( H_a: \mu \neq 1270 \) - **D.** \( H_0: \mu \leq 1270 \) \( H_a: \mu > 1270 \) - **E.** \( H_0: \mu > 1270 \) \( H_a: \mu \leq 1270 \) - **F.** \( H_0: \mu = 1285.42 \) \( H_a: \mu < 1285.42 \) **Calculate the standardized test statistic:** The standardized test statistic is \(\boxed{ }\). *(Round to two decimal places as needed.)* **Determine the P-value:**
Transcribed Image Text:**Use technology to help you test the claim about the population mean, \( \mu \), at the given level of significance, \( \alpha \), using the given sample statistics. Assume the population is normally distributed.** **Claim:** \( \mu > 1270 \); \( \alpha = 0.08 \); \( \sigma = 202.75 \). Sample statistics: \( \bar{x} = 1285.42 \), \( n = 275 \). **Identify the null and alternative hypotheses. Choose the correct answer below:** - **A.** \( H_0: \mu = 1285.42 \) \( H_a: \mu > 1285.42 \) - **B.** \( H_0: \mu > 1285.42 \) \( H_a: \mu \leq 1285.42 \) - **C.** \( H_0: \mu = 1270 \) \( H_a: \mu \neq 1270 \) - **D.** \( H_0: \mu \leq 1270 \) \( H_a: \mu > 1270 \) - **E.** \( H_0: \mu > 1270 \) \( H_a: \mu \leq 1270 \) - **F.** \( H_0: \mu = 1285.42 \) \( H_a: \mu < 1285.42 \) **Calculate the standardized test statistic:** The standardized test statistic is \(\boxed{ }\). *(Round to two decimal places as needed.)* **Determine the P-value:**
**Title: Testing the Claim about the Population Mean** **Objective:** Use technology to test the claim about the population mean, \( \mu \), at the given level of significance, \( \alpha \), using the given sample statistics. Assume the population is normally distributed. **Claim:** \( \mu > 1270 \); \( \alpha = 0.08 \); \( \sigma = 202.75 \). **Sample Statistics:** - Sample mean (\( \bar{x} \)) = 1285.42 - Sample size (\( n \)) = 275 **Hypotheses:** - \( \text{H}_0: \mu \leq 1270 \) - \( \text{H}_a: \mu > 1270 \) **Tasks:** 1. **Calculate the Standardized Test Statistic:** The standardized test statistic is to be calculated and rounded to two decimal places. 2. **Determine the P-value:** Calculate the P-value and round it to three decimal places. 3. **Conclusion of the Test:** Determine whether to reject the null hypothesis (\( \text{H}_0 \)) at the 8% significance level. Conclude if there is enough evidence to support the claim. Use the following guide: - **At the significance level of 8%, there is** ___ **enough evidence to** ___ **the claim.** (Choices for completion: fill in the blanks as either "reject" or "fail to reject" based on calculation results.) **Note:** This exercise helps understand hypothesis testing and decision-making based on statistical results.
Transcribed Image Text:**Title: Testing the Claim about the Population Mean** **Objective:** Use technology to test the claim about the population mean, \( \mu \), at the given level of significance, \( \alpha \), using the given sample statistics. Assume the population is normally distributed. **Claim:** \( \mu > 1270 \); \( \alpha = 0.08 \); \( \sigma = 202.75 \). **Sample Statistics:** - Sample mean (\( \bar{x} \)) = 1285.42 - Sample size (\( n \)) = 275 **Hypotheses:** - \( \text{H}_0: \mu \leq 1270 \) - \( \text{H}_a: \mu > 1270 \) **Tasks:** 1. **Calculate the Standardized Test Statistic:** The standardized test statistic is to be calculated and rounded to two decimal places. 2. **Determine the P-value:** Calculate the P-value and round it to three decimal places. 3. **Conclusion of the Test:** Determine whether to reject the null hypothesis (\( \text{H}_0 \)) at the 8% significance level. Conclude if there is enough evidence to support the claim. Use the following guide: - **At the significance level of 8%, there is** ___ **enough evidence to** ___ **the claim.** (Choices for completion: fill in the blanks as either "reject" or "fail to reject" based on calculation results.) **Note:** This exercise helps understand hypothesis testing and decision-making based on statistical results.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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
SEE MORE TEXTBOOKS