Answer:
The probability that the difference between the sample mean
and the true population mean
is : ![P[|\bar{x}-\mu|\leq0.7]=0.9876](https://tex.z-dn.net/?f=P%5B%7C%5Cbar%7Bx%7D-%5Cmu%7C%5Cleq0.7%5D%3D0.9876)
Step-by-step explanation:
Given :
Population standard deviation
.
Sample size 
The sample mean standard deviation
To find :
The probability that the difference between the sample mean
and the true population mean 

Now, the probability that the difference between the sample mean
and the true population mean
is :
,
is large 



Therefore, the probability ![P[|\bar{x}-\mu|\leq0.7]=0.9876](https://tex.z-dn.net/?f=P%5B%7C%5Cbar%7Bx%7D-%5Cmu%7C%5Cleq0.7%5D%3D0.9876)