Question

The mean January temperature in Fort Collins, CO, is 37.1° F with a standard deviation of 10.3° F. Express these Fahrenheit parameters in degrees Celsius using the transformation C = 5/9F − 17.78. (Round your answers to 2 decimal places.) °F °C μ 37.1 σ 10.3

Answer 1

Answer:

$\mu =2.83^{\circ}C$

$\sigma = -12.05^{\circ}C$

Step-by-step explanation:

The mean January temperature in Fort Collins, CO, is 37.1° F with a standard deviation of 10.3° F

$\mu = 37.1^{\circ} F$

$\sigma =10.3^{\circ} F$

$C =\frac{5}{9}F - 17.78$

Convert mean in Celsius

So, $C=\frac{5}{9}(37.1) - 17.78$

C=2.83

So, $\mu =2.83^{\circ}C$

$C=\frac{5}{9}(10.3) - 17.78$

C= -12.05

So, $\sigma = -12.05^{\circ}C$