A children's clothing company sells hand-smocked dresses for girls. The length of one particular size of dress is designed to be 23 inches. The company regularly tests the lengths of the garments to ensure quality control, and if the mean length is found to be significantly longer or shorter than 23 inches, the machines must be adjusted. The most recent simple random sample of 22 dresses had a mean length of 24.23 inches with a standard deviation of 3.77 inches. Assume that the population distribution is approximately normal. Perform a hypothesis test on the accuracy of the machines at the 0.025 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Но :и 3D 23 Ha :H. 23

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

Step 2 of 3:

Compute the value of the test statistic. Round your answer to three decimal places.

Step 3 of 3:

Draw a conclusion and interpret the decision.

A children's clothing company sells hand-smocked dresses for girls. The length of one particular size
of dress is designed to be 23 inches. The company regularly tests the lengths of the garments to
ensure quality control, and if the mean length is found to be significantly longer or shorter than 23
inches, the machines must be adjusted. The most recent simple random sample of 22 dresses had a
mean length of 24.23 inches with a standard deviation of 3.77 inches. Assume that the population
distribution is approximately normal. Perform a hypothesis test on the accuracy of the machines at
the 0.025 level of significance.
Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below.
Но :и — 23
На :И.
23
Transcribed Image Text:A children's clothing company sells hand-smocked dresses for girls. The length of one particular size of dress is designed to be 23 inches. The company regularly tests the lengths of the garments to ensure quality control, and if the mean length is found to be significantly longer or shorter than 23 inches, the machines must be adjusted. The most recent simple random sample of 22 dresses had a mean length of 24.23 inches with a standard deviation of 3.77 inches. Assume that the population distribution is approximately normal. Perform a hypothesis test on the accuracy of the machines at the 0.025 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Но :и — 23 На :И. 23
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.
Similar 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