A children’s clothing company sells hand-smocked dresses for girls. The length of one particular size of dress is designed to be 3737 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 3737 inches, the machines must be adjusted. The most recent simple random sample of 1717 dresses had a mean length of 33.0933.09 inches with a standard deviation of 6.276.27 inches. Assume that the population distribution is approximately normal. Perform a hypothesis test on the accuracy of the machines at the 0.050.05 level of significance.   Step 2 of 3 :   Compute the value of the test statistic. Round your answer to three decimal places.     Step 3 of 3 : Conclusion - Reject the null hypothesis/ fail to reject ...insufficient/sufficient

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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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 3737 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 3737 inches, the machines must be adjusted. The most recent simple random sample of 1717 dresses had a mean length of 33.0933.09 inches with a standard deviation of 6.276.27 inches. Assume that the population distribution is approximately normal. Perform a hypothesis test on the accuracy of the machines at the 0.050.05 level of significance.
 
Step 2 of 3 :  
Compute the value of the test statistic. Round your answer to three decimal places.
 
 
Step 3 of 3 :
Conclusion - Reject the null hypothesis/ fail to reject ...insufficient/sufficient
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