The tensile strength of paper used to make grocery bags is an important quality characteristic. It is known that the strength is normally distributed with mean 40 lb/in2 and standard deviation 2 lb/in2. The purchaser of the bags requires them to have a strength of at least 35 lb/in2.
a) Calculate the probability that bags produced from this paper will meet or exceed the specification. Hint: Use Normal_probabilities Excel template.
Answer
0062
Enter your answer to 4 decimal places.
b) Choose the correct notation for the probability being asked in a).
Answer
P(X≥35)
c) What is the tensile strength value that only 1 in 100 bags would exceed?
Answer
Enter your answer to 2 decimal places.
d) Use the dropdown menus below to describe the probability distribution of the average strength of paper from a sample of 25 of these bags.
Probability distribution of the average strength is Answer
Student’s T
, with parameters:Answer
n
= Answer
(enter your answer to 2 decimal places) and Answer
df
= Answer
(enter your answer to 2 decimal places).
e) What is the probability that this average is less than 39.5?
Answer
Enter your answer to 4 decimal places.
1 answer