The following 6 questions are based on this information. According to a journalist of BBC News from April 2016, the average price of milk at all U.S. supermarkets was $3.00 (). The population standard deviation () of milk prices is $1.75.Let X be a random variable denoting milk price at super market.We plan to take a random sample of 36 supermarkets.

1)What is the sampling distribution of X when sample of size 36 is used?

2) Suppose that we reduce the sample size from 36 to 16. The sampling distribution of X will be normal only if

3)What is the probability that a random sample of 36 supermarkets will provide an average milk price (X) that is more than $3.50?

4)What is the probability that a random sample of 36 supermarkets will provide an average milk price hat is within $0.50 of the population mean ()?

5)The probability in the PREVIOUS question would _________if we were to increase the sample size to 72.

please show step by step, equations . dumbproof it to the best of your ability

please dont type like this P[ |X(bar)-| <25] =P[ |(X(bar)-)/(/sqrt(n))| <25>