A children's clothing company sells hand-smocked dresses. The length of one particular size of dress is designed to be 45 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 45 inches, the machines must be adjusted. The most recent simple random sample of 29 dresses had a mean length of 46.32 inches with a standard deviation of 2.70 inches. Assume that the population distribution is approximately normal. Perform a hypothesis test on the accuracy of the machines at the 0.05 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision. 4 Answer Tables Keypad Keyboard Shortcuts 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 45 inches and the machines must be adjusted. O We 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 45 inches and the machines must be adjusted. O 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 45 inches and the machines must be adjusted. O 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 45 inches and the machines must be adjusted.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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A children's clothing company sells hand-smocked dresses. The length of one particular size of dress is designed to be 45 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 45 inches, the machines must be adjusted. The most
recent simple random sample of 29 dresses had a mean length of 46.32 inches with a standard deviation of 2.70 inches. Assume that the population distribution is
approximately normal. Perform a hypothesis test on the accuracy of the machines at the 0.05 level of significance.
Step 3 of 3: Draw a conclusion and interpret the decision.
4
Answer
Tables
Keypad
Keyboard Shortcuts
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 45 inches and the machines must be adjusted.
O
We 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 45 inches and the machines must be adjusted.
O
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 45 inches and the machines must be adjusted.
O
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 45 inches and the machines must be adjusted.
Transcribed Image Text:A children's clothing company sells hand-smocked dresses. The length of one particular size of dress is designed to be 45 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 45 inches, the machines must be adjusted. The most recent simple random sample of 29 dresses had a mean length of 46.32 inches with a standard deviation of 2.70 inches. Assume that the population distribution is approximately normal. Perform a hypothesis test on the accuracy of the machines at the 0.05 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision. 4 Answer Tables Keypad Keyboard Shortcuts 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 45 inches and the machines must be adjusted. O We 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 45 inches and the machines must be adjusted. O 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 45 inches and the machines must be adjusted. O 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 45 inches and the machines must be adjusted.
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