The geowall team measured the strength of paper strips by applying a force until they broke. They tested 5 strips and found an average strength of 12.9 pounds with a standard deviation of 1 pound. Because of the small sample size, we cannot assume a normal distribution. What is the probability that a strip breaks with only 11 pounds of applied force? (a) 0.065 (b) 0.029 (c) 1.07 × 10?5 (d) 0.058 (e) none of the above

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Answer:

Step-by-step explanation:

Given

mean [tex]\mu =12.9 Pounds[/tex]

Standard deviation [tex]\sigma =1\ Pound[/tex]

[tex]P(x<11)=P\left ( \frac{x-\mu }{\sigma }< \frac{11-12.9}{1}\right )[/tex]

[tex]P(x<11)=P\left ( z< -1.9\right )[/tex]

From z table

[tex]P(x<11)=0.0289\approx 0.029[/tex]