A company claims that the mean monthly residential electricity consumption in a certain region is more than 870 kiloWatt-hours (kWh). You want to test this claim. You find that a random sample of 63 residential customers has a mean monthly consumption of 890 kWh. Assume the population standard deviation is 129 kWh. At a = 0.10, can you support the claim? Complete parts (a) through (e). (a) Identify Ho and Ha. Choose the correct answer below. O A. Ho: H= 870 (claim) Hai H#870 Β. Ho: μs 870 Ha: > 870 (claim) O C. Họ: H> 890 (claim) Ha: us 890 Ο D. H : μ 890 Ha: H# 890 (claim) ΟΕ. Ho: μ> 870 (claim) Ha:HS870 ΟΕ H : μ 890 Ha: > 890 (claim) (b) Find the critical value(s) and identify the rejection region(s). Select the correct choice below and fill in the answer box within your choice. Use technology. (Round to two decimal places as needed.) O A. The critical value is O B. The critical values are +

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A company claims that the mean monthly residential electricity consumption in a certain region is more than 870 kilowatt-hours (kWh). You want to test this claim. You find that a random sample of 63 residential customers has a mean monthly consumption of 890 kWh. Assume the population standard deviation is 129 kWh. At α = 0.10, can you support the claim? Complete parts (a) through (e).

(a) Identify H₀ and Hₐ. Choose the correct answer below.

- A. H₀: μ = 870 (claim)   
      Hₐ: μ ≠ 870
- B. H₀: μ ≤ 870  
      Hₐ: μ > 870 (claim) [Correct Answer]
- C. H₀: μ > 890 (claim)  
      Hₐ: μ ≤ 890
- D. H₀: μ = 890  
      Hₐ: μ ≠ 890 (claim)
- E. H₀: μ ≥ 870 (claim)  
      Hₐ: μ < 870
- F. H₀: μ ≤ 890  
      Hₐ: μ > 890 (claim)

(b) Find the critical value(s) and identify the rejection region(s). Select the correct choice below and fill in the answer box within your choice. Use technology.

(Round to two decimal places as needed.)

- A. The critical value is [ ]
- B. The critical values are ± [ ]
Transcribed Image Text:A company claims that the mean monthly residential electricity consumption in a certain region is more than 870 kilowatt-hours (kWh). You want to test this claim. You find that a random sample of 63 residential customers has a mean monthly consumption of 890 kWh. Assume the population standard deviation is 129 kWh. At α = 0.10, can you support the claim? Complete parts (a) through (e). (a) Identify H₀ and Hₐ. Choose the correct answer below. - A. H₀: μ = 870 (claim) Hₐ: μ ≠ 870 - B. H₀: μ ≤ 870 Hₐ: μ > 870 (claim) [Correct Answer] - C. H₀: μ > 890 (claim) Hₐ: μ ≤ 890 - D. H₀: μ = 890 Hₐ: μ ≠ 890 (claim) - E. H₀: μ ≥ 870 (claim) Hₐ: μ < 870 - F. H₀: μ ≤ 890 Hₐ: μ > 890 (claim) (b) Find the critical value(s) and identify the rejection region(s). Select the correct choice below and fill in the answer box within your choice. Use technology. (Round to two decimal places as needed.) - A. The critical value is [ ] - B. The critical values are ± [ ]
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