A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type Il ovens. A sample of 59 type I ovens has a mean repair cost of $70.89, with a standard deviation of $24.74. A sample of 69 type Il ovens has a mean repair cost of $67.71. with a standard deviation of $18.77. Conduct a hypothesis test of the technician's claim at the 0.1 level of significance. Let u, be the true mean repair cost for type I ovens and u, be the true mean repair cost for type Il ovens.

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A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type II ovens. A sample of 59 type I ovens has a mean repair cost of $70.89, with a standard deviation of $24.74. A sample of 69 type II ovens has a mean repair cost of $67.11, with a standard deviation of $18.77. Conduct a hypothesis test of the technician's claim at the 0.1 level of significance. Let μ₁ be the true mean repair cost for type I ovens and μ₂ be the true mean repair cost for type II ovens.

**Step 1 of 4**: State the null and alternative hypotheses for the test.

**Answer**

- Null Hypothesis (H₀): μ₁ ≤ μ₂
- Alternative Hypothesis (Hₐ): μ₁ > μ₂

[There is an interface to choose and submit answers, displaying the text input options for the hypotheses with graphs for illustrative purposes.]
Transcribed Image Text:A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type II ovens. A sample of 59 type I ovens has a mean repair cost of $70.89, with a standard deviation of $24.74. A sample of 69 type II ovens has a mean repair cost of $67.11, with a standard deviation of $18.77. Conduct a hypothesis test of the technician's claim at the 0.1 level of significance. Let μ₁ be the true mean repair cost for type I ovens and μ₂ be the true mean repair cost for type II ovens. **Step 1 of 4**: State the null and alternative hypotheses for the test. **Answer** - Null Hypothesis (H₀): μ₁ ≤ μ₂ - Alternative Hypothesis (Hₐ): μ₁ > μ₂ [There is an interface to choose and submit answers, displaying the text input options for the hypotheses with graphs for illustrative purposes.]
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