thanks for helping me i don't understand the material

briefly explain what a sampling distribution is.

What happens to the shape, center, and spread of a sampling distribution as sample size increases?

Shape:

Center:

Spread:

For questions 3-6, use the following scenario:

Gwinnett County Police believe that 68% of drivers speed on Lawrenceville-Suwanee Road. Using a radar trap, they check the speeds of 120 randomly selected cars.

Can this sampling distribution be approximated using the normal curve? Explain.

What is the mean and standard deviation of this sampling distribution of sample proportions?

What is the probability that less than 60% of sampled cars are speeding?

What is the probability that between 65% and 75% of sampled cars are speeding?

For questions 7-10, use the following scenario:

Suppose you take a random sample of 45 potatoes from your local grocery store and record the weight of each potato. You know that the true mean weight of this type of potato is 210 grams with a standard deviation of 35 grams.

Can this sampling distribution of sample means be approximated using a normal distribution? Explain.

What is the mean and standard deviation of the sampling distribution of sample means?

What is the probability that the mean weight of your 45 potatoes is greater than 215 grams?

You find that the mean weight of your sample is 196 grams. What is the probability of getting a sample mean of 196 or less? Does this suggest that the true mean weight of potatoes in this store might not be 210 grams?