Homework Help is Here – Start Your Trial Now!
Math
Statistics
The piston diameter of a certain hand pump is 0.4 inch. The manager determines that the diameters are normally distributed, with a mean of 0.4 inch and a standard deviation of 0.006 inch. After recalibrating the production machine, the manager randomly selects 26 pistons and determines that the standard deviation is 0.0042 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a =0.01 level of significance? ..... What are the correct hypotheses for this test? The null hypothesis is Ho: o 0.006. The alternative hypothesis is H;: 0.006. Calculate the value of the test statistic. x2 = (Round to three decimal places as needed.)

The piston diameter of a certain hand pump is 0.4 inch. The manager determines that the diameters are normally distributed, with a mean of 0.4 inch and a standard deviation of 0.006 inch. After recalibrating the production machine, the manager randomly selects 26 pistons and determines that the standard deviation is 0.0042 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a =0.01 level of significance? ..... What are the correct hypotheses for this test? The null hypothesis is Ho: o 0.006. The alternative hypothesis is H;: 0.006. Calculate the value of the test statistic. x2 = (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
See similar textbooks
icon
Related questions
Question

calculate the value of the test statistic

determine P-value

Is P-value greater or less than?

**Problem Statement:** The piston diameter of a certain hand pump is 0.4 inch. The manager determines that the diameters are normally distributed, with a mean of 0.4 inch and a standard deviation of 0.006 inch. After recalibrating the production machine, the manager randomly selects 26 pistons and determines that the standard deviation is 0.0042 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the α = 0.01 level of significance? **Hypothesis Testing:** What are the correct hypotheses for this test? - **The null hypothesis (H₀):** σ = 0.006 - **The alternative hypothesis (H₁):** σ < 0.006 **Calculate the value of the test statistic:** χ² = (Round to three decimal places as needed.)
Transcribed Image Text:**Problem Statement:** The piston diameter of a certain hand pump is 0.4 inch. The manager determines that the diameters are normally distributed, with a mean of 0.4 inch and a standard deviation of 0.006 inch. After recalibrating the production machine, the manager randomly selects 26 pistons and determines that the standard deviation is 0.0042 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the α = 0.01 level of significance? **Hypothesis Testing:** What are the correct hypotheses for this test? - **The null hypothesis (H₀):** σ = 0.006 - **The alternative hypothesis (H₁):** σ < 0.006 **Calculate the value of the test statistic:** χ² = (Round to three decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS