Use technology to help you test the claim about the population mean, µ, at the given level of significance, a, using the given sample statistics. Assume the population is normally distr Claim: µs 1270; a = 0.06; o = 202.73. Sample statistics: x = 1286.71, n = 300 Identify the null and alternative hypotheses. Choose the correct answer below. A. Ho:H2 1270 O B. Ho: Hs 1286.71 HaiH>1286.71 Hai H<1270 O C. Ho: H> 1286.71 O D. Ho: H> 1270 HaiHS 1286.71 Ha:HS 1270 E. Hn: H2 1286.71

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
Topic Video
Question
100%
Use technology to help you test the claim about the population mean, μ, at the given level of significance, α, using the given sample statistics. Assume the population is normally distributed.

**Claim:** μ ≤ 1270; α = 0.06; σ = 202.73; Sample statistics: x̄ = 1286.71, n = 300

Identify the null and alternative hypotheses. Choose the correct answer below.

**Options:**

A. \( H_0: μ = 1270 \)  
   \( H_a: μ > 1270 \)

B. \( H_0: μ ≤ 1286.71 \)  
   \( H_a: μ > 1286.71 \)

C. \( H_0: μ ≥ 1286.71 \)  
   \( H_a: μ < 1286.71 \)

D. \( H_0: μ = 1270 \)  
   \( H_a: μ ≠ 1270 \)

E. \( H_0: μ ≤ 1270 \)  
   \( H_a: μ > 1270 \)

F. \( H_0: μ ≠ 1270 \)  
   \( H_a: μ = 1270 \)

Click to select your answer and then click Check Answer.

---

**Explanation of Options:**

- The null hypothesis (\( H_0 \)) represents the status quo or a statement of no effect or no difference.
- The alternative hypothesis (\( H_a \)) represents what you aim to support or prove.
- Choose the hypothesis statement that aligns with the given claim for the population mean and conducts the test using the provided sample statistics.
Transcribed Image Text:Use technology to help you test the claim about the population mean, μ, at the given level of significance, α, using the given sample statistics. Assume the population is normally distributed. **Claim:** μ ≤ 1270; α = 0.06; σ = 202.73; Sample statistics: x̄ = 1286.71, n = 300 Identify the null and alternative hypotheses. Choose the correct answer below. **Options:** A. \( H_0: μ = 1270 \) \( H_a: μ > 1270 \) B. \( H_0: μ ≤ 1286.71 \) \( H_a: μ > 1286.71 \) C. \( H_0: μ ≥ 1286.71 \) \( H_a: μ < 1286.71 \) D. \( H_0: μ = 1270 \) \( H_a: μ ≠ 1270 \) E. \( H_0: μ ≤ 1270 \) \( H_a: μ > 1270 \) F. \( H_0: μ ≠ 1270 \) \( H_a: μ = 1270 \) Click to select your answer and then click Check Answer. --- **Explanation of Options:** - The null hypothesis (\( H_0 \)) represents the status quo or a statement of no effect or no difference. - The alternative hypothesis (\( H_a \)) represents what you aim to support or prove. - Choose the hypothesis statement that aligns with the given claim for the population mean and conducts the test using the provided sample statistics.
Expert Solution
Step 1

Given claim:

μ1270

Null Hypothesis:

H0:μ1270

Alternative Hypothesis:

Ha:μ>1270

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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