The distribution of actual weights of 8-ounce wedges of cheddar cheese produced at a dairy is Normal with mean 8.1 ounces and standard deviation 0.2 ounces. A sample of 10 of these cheese wedges is selected. The distribution of the sample mean of the weights of cheese wedges is:
approximately Normal, mean 8.1, standard deviation 0.2.
approximately Normal, mean 8.1, standard deviation 0.020.
It is not possible to tell because the sample size is too small.
approximately Normal, mean 8.1, standard deviation 0.063.

15.

The distribution of actual weights of 8-ounce wedges of cheddar cheese produced at a dairy is Normal with mean 8.1 ounces and standard deviation 0.2 ounces. A sample of 10 of these cheese wedges is selected. What is the standard deviation of the sampling distribution of the mean?
0.075 ounces
0.963 ounces
0.315 ounces
0.0633 ounces

16.

The distribution of actual weights of 8-ounce wedges of cheddar cheese produced at a dairy is Normal with mean 8.1 ounces and standard deviation 0.2 ounces. A sample of 10 of these cheese wedges is selected. The company decides instead to sample batches of 20 cheese wedges, and the sampling is repeated every time workers start a new shift at the dairy. How will the distribution of the sample means of the weights of cheese wedges change from the previous batches, which only contained 10 samples?
The distribution will still be Normal, but it will be more peaked around the sample mean and the standard deviation will be larger.
The distribution will still be Normal, but it will be more peaked around the sample mean and the standard deviation will be smaller.
The shape of the distribution may change completely based on the new data.
It is not possible to tell from the information provided.