Solution Found!
Stats test, Part II Suppose your Statistics professor
Chapter 5, Problem 3E(choose chapter or problem)
A town’s January high temperatures average \(36^\circ F\) with a standard deviation of \(10^\circ\), while in July the mean high temperature is \(74^\circ\) and the standard deviation is \(8^\circ\). In which month is it more unusual to have a day with a high temperature of \(55^\circ\)? Explain.
Questions & Answers
QUESTION:
A town’s January high temperatures average \(36^\circ F\) with a standard deviation of \(10^\circ\), while in July the mean high temperature is \(74^\circ\) and the standard deviation is \(8^\circ\). In which month is it more unusual to have a day with a high temperature of \(55^\circ\)? Explain.
ANSWER:Step 1 of 3
JANUARY
\(\begin{aligned} \mu & =36 \mu=36 \\ \sigma & =10 \sigma=10 \\ x & =55 x=55 \end{aligned}\)
The standardized score is the value x decreased by the mean and then divided by the standard deviation.
\(z=\frac{x-\mu}{\sigma}=\frac{55-36}{10} \approx 1.90\)