A few children's clothing company sells hand-smocked dresses for girls. The length of one particular size of dress is designed to be 35 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 35 inches, the machines must be adjusted. The most recent simple random sample of 17 dresses had a mean length of 41.68 inches with a standard deviation of 9.88 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 3 of 3: Draw a conclusion and interpret the decision. A. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.025 level of significance that the mean length of the particular size of dress is found to be significantly longer or shorter than 35 inches and the machines must be adjusted. B. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.025 level of significance that the mean length of the particular size of dress is found to be significantly longer or shorter than 35 inches and the machines must be adjusted. C. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that the mean length of the particular size of dress is found to be significantly longer or shorter than 35 inches and the machines must be adjusted. D. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that the mean length of the particular size of dress is found to be significantly longer or shorter than 35 inches and the machines must be adjusted.
A few children's clothing company sells hand-smocked dresses for girls. The length of one particular size of dress is designed to be 35 inches. The company regularly tests the lengths of the garments to ensure quality control, and if the
A. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.025 level of significance that the mean length of the particular size of dress is found to be significantly longer or shorter than 35 inches and the machines must be adjusted.
B. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.025 level of significance that the mean length of the particular size of dress is found to be significantly longer or shorter than 35 inches and the machines must be adjusted.
C. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that the mean length of the particular size of dress is found to be significantly longer or shorter than 35 inches and the machines must be adjusted.
D. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.025 level of significance that the mean length of the particular size of dress is found to be significantly longer or shorter than 35 inches and the machines must be adjusted.
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