Question

In April​, ​Seattle's daily high temperature has a mean of 59degreesF and a standard deviation of 7degreesF. The formula to convert degrees Fahrenheit degreesF to degrees Celsius degreesC ​is: Superscript o Baseline Upper C equals five ninths (Superscript o Baseline Upper F minus 32 )Use this information to answer the following questions. Compute the mean of​ Seattle's daily high temperature in degrees Celsius degreesC. The mean of the daily high temperature in degrees Celcius​ = nothingdegreesC ​(Round your response to three decimal place.​)

Answer 1

Answer:

$T = 15 \pm 3.89 ^oC$

Explanation:

As we know that the equation to convert Fahrenheit to Celcius we have

$C = \frac{5}{9}(F - 32)$

so we have

$T = 59 ^o F$

so we have

$T = \frac{5}{9}(59 - 32)$

$T = 15^o C$

now the uncertainty in temperature is given as

$\Delta C = \frac{5}{9}(\Delta F)$

so we have

$\Delta T = \frac{5}{9}(7)$

$\Delta T = 3.89 ^o C$

so the temperature is given as

$T = 15 \pm 3.89 ^oC$