The weights of pre-1983 pennies have standard deviation greater than 0.0231 g. A simple random sample of 38 pennies shows a standard deviation of 0.0278 g. Test the claim that the weights of pre-1983 pennies have a standard deviation greater than 0.0231 g at the 5% significance level. Assume that the sample is from a normally distributed population. What are the correct hypotheses? (Select the correct symbols and values.) H0: Select an answer p̂ x̄ p s² s σ² μ σ ? > ≤ ≥ ≠ < = g Original claim = Select an answer H₁ H₀ H1: Select an answer σ² s μ p̂ s² σ x̄ p ? ≥ > ≤ < = ≠ g Enter the critical values, along with the significance level and degrees of freedom χ2χ2(αα,df) below the graph. (Graph is for illustration only. No need to shade.) Test Statistic = (Round to three decimal places.) Decision: Select an answer Accept the alternative hypothesis Fail to reject the null hypothesis Accept the null hypothesis Reject the null hypothesis . Conclusion: Select an answer There is not sufficient evidence to warrant rejection of There is not enough evidence to support The sample data supports There is sufficient evidence to warrant rejection of the claim that the weights of pre-1983 pennies have a standard deviation greater than 0.0231 g.

Name: The weights of pre-1983 pennies have standard deviation greater than 0
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: The weights of pre-1983 pennies have standard deviation greater than 0.0231 g. A simple random sample of 38 pennies shows a standard deviation of 0.0278 g. Test the claim that the weights of pre-1983 pennies have a standard deviation greater than 0.0

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

Related questions

Topic Video

Question

The weights of pre-1983 pennies have standard deviation greater than 0.0231 g. A simple random sample of 38 pennies shows a standard deviation of 0.0278 g. Test the claim that the weights of pre-1983 pennies have a standard deviation greater than 0.0231 g at the 5% significance level. Assume that the sample is from a normally distributed population.

What are the correct hypotheses? (Select the correct symbols and values.)
H₀: Select an answer p̂ x̄ p s² s σ² μ σ ? > ≤ ≥ ≠ < = g Original claim = Select an answer H₁ H₀

H₁: Select an answer σ² s μ p̂ s² σ x̄ p ? ≥ > ≤ < = ≠ g

Enter the critical values, along with the significance level and degrees of freedom χ2χ2_(αα,df) below the graph. (Graph is for illustration only. No need to shade.)

Test Statistic = (Round to three decimal places.)

Decision: Select an answer Accept the alternative hypothesis Fail to reject the null hypothesis Accept the null hypothesis Reject the null hypothesis .

Conclusion: Select an answer There is not sufficient evidence to warrant rejection of There is not enough evidence to support The sample data supports There is sufficient evidence to warrant rejection of the claim that the weights of pre-1983 pennies have a standard deviation greater than 0.0231 g.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Step by step

Solved in 4 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

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