(Solved): give correct answer for thumbs up The standard deviation of a sample is denoted by: \( \bar{\sigma} ...

The standard deviation of a sample is denoted by: \( \bar{\sigma} \) \( s^{2} \) s \( \sigma \) The mean of a population is denoted by: \( \bar{x} \) \( \sigma \) \( n \) \( \mu \) \( p_{1}-p_{2} \quad \) is: the difference between two population proportions the difference between two sample proportions the difference between two population means a probability Closing costs for mortgages are an important concern for people buying homes. A realtor read an article in an industry publication that stated the mean closing costs for single-family homes in Michigan were \( \$ 1958 \). She suspected that closing costs in her county were lower than that. To test this, the realtor took a random sample of 50 single-family home sales in her county. In the sample, the mean closing costs were \( \$ 1832 \) and the standard deviation was \( \$ 514 \). Perform a hypothesis test to determine whether the population mean closing costs in the realtor's county are lower than the mean in Michigan as a whole. Use an \( \alpha=0.05 \) significance level. What are the mean closing costs in the sample? \[ \begin{array}{l} \bar{x}=1958 \\ \bar{x}=1832 \\ \bar{x}=514 \\ \mu=1832 \end{array} \]