Sodium in Frozen Food:The average number of milligrams (mg) of sodium in a certain brand of low-salt microwave frozen dinners is 660 mg and the standard deviation is 35 mg.Assume the variable is normally distributed.

Questions:

a)Compute the z score for 695 mg.Show your work or explain in detail how you obtained your answer. Then interpret the meaning of the z-score in the context of the problem.

b) If a frozen dinner is randomly selected, what is the probability that the sodium content is more than 695 mg?

c) If a sample of 6 dinners are randomly selected, what is the probability that the mean sodium contentwill be larger than 695 mg.Show work or write the calculator function you are using including the mean and SD.

d) If 3% of these frozen dinners have very high sodium content, what is the minimum amount of sodium in this category?Round to 1 decimal place.