Question

A restaurant decides to test their oven's thermostat to see if it is working properly, that is, if the actual temperature inside the oven is the same as the temperature to which the thermostat was set. Twenty times, the oven was set at 350 degrees and then the temperature was measured with a thermometer. What is the parameter? Group of answer choices mu = the sample mean temperature of the oven xbar = the sample mean temperature of the oven mu = the true mean temperature of the oven xbar = the true mean temperature of the oven

Answer 1

Answer:

For this case we have information from a sample of n =20 times of temperatures of the oven

The parameter of interest is $\mu$ population temperature mean of the oven

And the statistic is calculated with this formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

With n = 20 and represent the mean temperature of the oven  

The correct option for this case is:

mu = the true mean temperature of the oven xbar = the true mean temperature of the oven

Step-by-step explanation:

Previous concepts

Parameter represent a property of a population and is calculated with the information of all the populatio. Some examples are the population mean and deviation $\mu,\sigma$

Statistic represent a propoerty of a sample and are used used in order to describe the population parameters, since represent estimators of the real parameters.

Solution to the problem

For this case we have information from a sample of n =20 times of temperatures of the oven

The parameter of interest is $\mu$ population temperature mean of the oven

And the statistic is calculated with this formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

With n = 20 and represent the mean temperature of the oven  

The correct option for this case is:

mu = the true mean temperature of the oven xbar = the true mean temperature of the oven

Answer 2

mu=the true mean value of the oven