A children’s clothing company sells hand-smocked dresses for girls. The length of one particular size of dress is designed to be 43 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 43 inches, the machines must be adjusted. The most recent simple random sample of 27 dresses had a mean length of 45.56 inches with a standard deviation of 6.88 inches. Assume that the population distribution is approximately normal. Perform a hypothesis test on the accuracy of the machines at the 0.005 level of significance. Step 3 of 3 : Draw a conclusion and interpret the decision. 1. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance that the mean length of the particular size of dress is found to be significantly longer or shorter than 43 inches and the machines must be adjusted. 2. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance that the mean length of the particular size of dress is found to be significantly longer or shorter than 43 inches and the machines must be adjusted. 3. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance that the mean length of the particular size of dress is found to be significantly longer or shorter than 43 inches and the machines must be adjusted. 4. the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance that the mean length of the particular size of dress is found to be significantly longer or shorter than 43 inches and the machines must be adjusted.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A children’s clothing company sells hand-smocked dresses for girls. The length of one particular size of dress is designed to be 43 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 43 inches, the machines must be adjusted. The most recent simple random sample of 27 dresses had a mean length of 45.56 inches with a standard deviation of 6.88 inches. Assume that the population distribution is approximately normal. Perform a hypothesis test on the accuracy of the machines at the 0.005 level of significance.

Step 3 of 3 : Draw a conclusion and interpret the decision.

1. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance that the mean length of the particular size of dress is found to be significantly longer or shorter than 43 inches and the machines must be adjusted.

2. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance that the mean length of the particular size of dress is found to be significantly longer or shorter than 43 inches and the machines must be adjusted.

3. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance that the mean length of the particular size of dress is found to be significantly longer or shorter than 43 inches and the machines must be adjusted.

4. the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance that the mean length of the particular size of dress is found to be significantly longer or shorter than 43 inches and the machines must be adjusted.

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