PROBLEM 3: According to Dietary Goals for the United States (1977), high sodium intake may be related to ulcers, stomach cancer, and migraine headaches. The human requirement for salt is only 220 mg per day, which is surpassed in most single servings of ready to eat cereals. If a random sample of 20 similar servings of Special K has a mean sodium content of 244 mg of sodium and standard deviation of 24.5 mg, does this suggest at the 0.05 level of significance that the average sodium content for single servings of Special K is greater than 220 mg? Assume the distribution of sodium contents be normal.PROBLEM 1: The average height of females in the freshman class of a certain college has been 152.5 centimeters with a standard deviation of 6.9 centimeters. Is there a reason to believe that there has been a change in the average height if a random sample of 50 females in the present freshman class has an average height of 165.2 centimeters? Use a 0.02 level of significance. PROBLEM 2: According to Dietary Goals for the United States (1977), high sodium intake may be related to ulcers, stomach cancer, and migraine headaches. The human requirement for salt is only 220 mg per day, which is surpassed in most single servings of ready to eat cereals. If a random sample of 20 similar servings of Special K has a mean sodium content of 244 mg of sodium and standard deviation of 24.5 mg, does this suggest at the 0.05 level of significance that the average sodium content for single servings of Special K is greater than 220 mg? Assume the distribution of sodium contents be normal