According to the United States Census Bureau, the Average Single-Family $\mu$

Multiple Choice

According to the United States Census Bureau, the average single-family home constructed in 2016 was 2,438 square feet. Carmen wondered if families in her area still want a smaller home in comparison to the average. She randomly selected 45 people and asked what the ideal square footage of a home is for them. From the responses, she calculated the sample mean equals 1,550 square feet with a sample standard deviation of 54 square feet. What are the competing hypotheses?

A) H₀: $\mu$ $\neq$ 2,438;H_A $\mu$ = 2,438
B) H₀: $\mu$ $\neq$ 1,550; H_A $\mu$ = 1,550
C) H₀: $\mu$ $\ge$ 2,438; H_A $\mu$ < 2,438
D) H₀: $\mu$ = 1,550; H_A $\mu$ $\neq$ 1,550