rods manufacturer makes rods with a length that is supposed to be 10 inches. A quality control technician sampled 30 rods and found that the sample mean length was 10.05 inches and the sample standard deviation was 0.14 inches. The technician claims that the mean rod length is less than 10 inches. What type of hypothesis test should be performed? What is the test statistic? What is the number of degrees of freedom?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
icon
Related questions
Topic Video
Question

A rods manufacturer makes rods with a length that is supposed to be 10 inches. A quality control technician sampled 30 rods and found that the sample mean length was 10.05 inches and the sample standard deviation was 0.14 inches. The technician claims that the mean rod length is less than 10 inches.

What type of hypothesis test should be performed?

What is the test statistic?

What is the number of degrees of freedom?

Does sufficient evidence exist at the α=0.01 significance level to support the technician's claim?yes or no

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 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.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning