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Step 1 of 4: A glass tube maker claims that his tubes have lengths that are...

Step 1 of 4:

A glass tube maker claims that his tubes have lengths that are normally distributed with a mean of 9.00 cm and a variance of 0.25 cm.

What is the probability that a quality control regulator will pull a tube off the assembly line that has a length greater than 9 cm? Round your answer to one decimal place.

Step 2 of 4:

A glass tube maker claims that his tubes have lengths that are normally distributed with a mean of 9.00 cm and a variance of 0.25 cm.

What is the probability that a quality control regulator will pull a tube off the assembly line that has a length between 8.6 and 9 cm? Round your answer to four decimal places.

Step 3 of 4:

A glass tube maker claims that his tubes have lengths that are normally distributed with a mean of 9.00 cm and a variance of 0.25 cm.

What is the probability that a random sample of 40 tubes will have a mean of less than 8.8 am? Round your answer to four decimal places.

Step 4 of 4:

A glass tube maker claims that his tubes have lengths that are normally distributed with a mean of 9.00 cm and a variance of 0.25 cm.
What is the probability that a random sample of 75 tubes will have a mean that differs from the population mean by more than 0.1 cm?  Round your answer to four decimal places.

Math   Statistics-And-Probability   
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