Question

If the temperature at which a certain compound melts is a random variable with mean value 120 ???? ???? and standard deviation 2 ???? ???? , what are the mean temperature and standard deviation measured in �

Answer 1

The standard error of the sample mean is approximately 0.0671 degrees Fahrenheit when rounded to two decimal places. The distribution of the sample mean is a t-distribution due to the use of the sample standard deviation as an estimate.

Step-by-step explanation:

The question involves calculating the standard error of the sample mean for a set of body temperature measurements. To find the standard error, we use the formula: standard error = sample standard deviation / sqrt(sample size). With a sample standard deviation of 0.3 degrees Fahrenheit and a sample size of 20, the standard error is calculated as:

standard error = 0.3 / sqrt(20)

standard error = 0.3 / 4.472

standard error ≈ 0.0671 (rounded to two decimal places)

The distribution of the sample mean is a t-distribution because we are using the sample standard deviation as an estimate of the population standard deviation, which is unknown.

Answer 2

Answer:
Temperature is measured in units of temperature.
In SI units, it is K (degrees Kelvin).
In CGS units, it is °C (degrees Celsius)
In English units, it is °F (degrees Fahrenheit)

Therefore the mean and standard deviation will be measured in the selected units for temperature.