Soybean Crop. Protein content in a particular farmer's soybean crop is normally distributed, with a mean of 40 grams and a standard deviation of 20 grams. Suppose we take samples of size 100 soy plants. Use this information for Exercises 7 and 8.

Question 7.198

8. Refer to Exercise 7.

  1. Find the sample mean protein content higher than 95% of all such sample means.
  2. Find the sample mean protein content lower than 95% of all such sample means.
  3. Between which two values does the middle 90% of sample mean protein content lie?