Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

A children's clothing company sells hand-smocked dresses for girls. The length of one particular size of dress is designed to be 44 inches. The company

A children's clothing company sells hand-smocked dresses for girls. The length of one particular size of dress is designed to be 44 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 44 inches, the machines must be adjusted. The most recent simple random sample of 22 dresses had a mean length of 42.41 inches with a standard deviation of 5.07 inches. Assume that the population distribution is approximately normal. Perform a hypothesis test on the accuracy of the machines at the 0.01 level of significance.

Step3of3: Draw a conclusion and interpret the decision.

A.) We reject the null hypothesis and conclude that there is sufficient evidence at a 0.01 level of significancethat the mean length of the particular size of dress is found to be significantly longer or shorter than 44 inches and the machines must be adjusted.

B.) We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.01 level of significancethat the mean length of the particular size of dress is found to be significantly longer or shorter than 44 inches and the machines must be adjusted.

C.) We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.01 level of significance that the mean length of the particular size of dress is found to be significantly longer or shorter than 44 inches and the machines must be adjusted.

D.) We reject the null hypothesis and conclude that there is insufficient evidence at a 0.01 level of significance that the mean length of the particular size of dress is found to be significantly longer or shorter than 44 inches and the machines must be adjusted.

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access with AI-Powered Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Corporate Financial Accounting

Authors: Carl S. Warren, James M. Reeve, Jonathan Duchac

14th edition

130565353X, 978-1305887510, 1305887514, 978-1305653535

Students also viewed these Mathematics questions