Question
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
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started