A children's clothing company sells hand-smocked dresses for girls. The length of one particular size of dress is designed to be 23 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 23 inches, the machines must be adjusted. The most recent simple random sample of 22 dresses had a mean length of 24.23 inches with a standard deviation of 3.77 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 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Но :и 3D 23 Ha :H. 23

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Step 2 of 3:

Compute the value of the test statistic. Round your answer to three decimal places.

Step 3 of 3:

Draw a conclusion and interpret the decision.

A children's clothing company sells hand-smocked dresses for girls. The length of one particular size
of dress is designed to be 23 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 23
inches, the machines must be adjusted. The most recent simple random sample of 22 dresses had a
mean length of 24.23 inches with a standard deviation of 3.77 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 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below.
Но :и — 23
На :И.
23
Transcribed Image Text:A children's clothing company sells hand-smocked dresses for girls. The length of one particular size of dress is designed to be 23 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 23 inches, the machines must be adjusted. The most recent simple random sample of 22 dresses had a mean length of 24.23 inches with a standard deviation of 3.77 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 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Но :и — 23 На :И. 23
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