Question

1. The amount of tea leaves in a can from a particular production line is normally distributed with μ = 110 grams and σ = 25 grams.

  
a. what proportion of cans will be heavier than 100 grams?

b. A sample of 25 cans is to be selected. What is the probability that the sample mean will be greater than 100 grams? (in decimal format, round to 4 decimal digits, i.e. 5%=.0500)

c. A sample of 25 cans is to be selected. So, 95% of all sample means will be greater than how many grams? (round to the nearest 2 decimal digits)

d. A sample of 25 cans is to be selected. So, the middle 68% of all sample means will fall between what two values (symmetrically distributed around the mean)?

Multiple choice below

		107 grams and 113 grams
		105 grams and 115 grams
		97 grams and 123 grams
		84 grams and 136 grams

Answer 1