A children's clothing company sells hand-smocked dresses for girls. The length of one particular size of dress is designed to be 29 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 29 inches, the machines must be adjusted. The most recent simple random sample of 18 dresses had a mean length of 33.46 inches with a standard deviation of 5.89 inches. Assume that the population distribution is approximately normal. Perform a hypothesis test on the accuracy of th machines at the 0.025 level of significance. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places. Answer Answered 田 Tables E Keypad Keyboard Shortcut

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**Hypothesis Testing for Quality Control in Children's Clothing**

A children's clothing company sells hand-smocked dresses for girls. The length of one particular size of dress is designed to be 29 inches. The company regularly tests the lengths of the garments to ensure quality control. If the mean length is found to be significantly longer or shorter than 29 inches, the machines must be adjusted.

The most recent simple random sample of 18 dresses had a mean length of 33.46 inches with a standard deviation of 5.89 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 2 of 3:** Compute the value of the test statistic. Round your answer to three decimal places.

- **Answer:** [ ] 

In the diagram, there is a rectangular input box with the number "0" inside, indicating where the test statistic should be calculated and entered.

**Note:** This task involves using statistical methods to test the hypothesis that the mean dress length differs from the expected 29 inches, given the sample data.
Transcribed Image Text:**Hypothesis Testing for Quality Control in Children's Clothing** A children's clothing company sells hand-smocked dresses for girls. The length of one particular size of dress is designed to be 29 inches. The company regularly tests the lengths of the garments to ensure quality control. If the mean length is found to be significantly longer or shorter than 29 inches, the machines must be adjusted. The most recent simple random sample of 18 dresses had a mean length of 33.46 inches with a standard deviation of 5.89 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 2 of 3:** Compute the value of the test statistic. Round your answer to three decimal places. - **Answer:** [ ] In the diagram, there is a rectangular input box with the number "0" inside, indicating where the test statistic should be calculated and entered. **Note:** This task involves using statistical methods to test the hypothesis that the mean dress length differs from the expected 29 inches, given the sample data.
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