Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.6 years with a standard deviation of 0.9 years. If a sampling distribution is created using samples of the ages at which 49 children begin reading. What would be the mean of the sampling distribution?

Respuesta :

Answer:

The value is [tex]\mu_{x} = 5.6 \ years[/tex]

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu = 5.6 \ years[/tex]

    The standard deviation is  [tex]\sigma = 0.9 \ years[/tex]

    The sample size is  n  =  49  

Generally given that the sample size is large enough, the  sampling distribution created using the samples of the ages at which 49 children begin reading is equal to the population mean

i.e

     [tex]\mu_{x} = \mu[/tex]

=>  [tex]\mu_{x} = 5.6 \ years[/tex]