Say for a particular population body temperature measured in Celsius has a mean of 37 and the standard deviation is equal to 0.5. What is the mean and standard deviation of the population when temperature is measured in Fahrenheit units?

Respuesta :

Answer

given,

Mean of temperature in Celsius = 37    Standard deviation in Celsius = 0.5

relation between Fahrenheit and Celsius

[tex]F = \dfrac{9}{5}C + 32[/tex]

Mean of temperature in Fahrenheit

[tex]Mean_F =\dfrac{9}{5}\times Mean_C + 32[/tex]

[tex]Mean_F =\dfrac{9}{5}\times 37 + 32[/tex]

[tex]Mean_F = 98.6\ F[/tex]

Standard deviation of Fahrenheit.

[tex]SD_F = \dfrac{9}{5}\times SD_C [/tex]

addition of 32 will not change the Standard deviation.

[tex]SD_F = \dfrac{9}{5}\times 0.5[/tex]

[tex]SD_F = 0.9[/tex]