​(a) The shape of the sampling distribution of the sample mean is approximately normal. Is this true or​ false?

Shape of sampling distribution of sample mean being approx normal or not depends upon sample size.

Step-by-step explanation:

'The shape of the sampling distribution of the sample mean is approximately normal' might be true or false, depending on sample size.

If the sample size satisfies the condition of being sufficiently large, the shape of sampling distribution of sample mean becomes more bell shaped normally distributed (even more normally distributed than actual population).

Central Limit theorem also states this - Larger the sample size, shape of sampling distribution of sample mean becomes more normally distributed around population mean.