A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 227.6-cm and a standard deviation of 1.8-cm. For shipment, 20 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is less than 227.9-cm. P(M < 227.9-cm) = 0.7704 Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Added by Rich D.
Close
Step 1
The standard deviation of the mean is the standard deviation of the population divided by the square root of the sample size. In this case, the sample size is 20, so the standard deviation of the mean is \(1.8/\sqrt{20} = 0.402\). Show more…
Show all steps
Your feedback will help us improve your experience
Robin Corrigan and 65 other Elementary Statistics a Step by Step Approach educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 240.8-cm and a standard deviation of 0.8-cm. For shipment, 19 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is between 240.5-cm and 241.1-cm. P(240.5-cm < M < 241.1-cm) = Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Ajiboye T.
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 146.8-cm and a standard deviation of 2.2-cm. For shipment, 13 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is between 145.2-cm and 146.4-cm. P(145.2-cm < M < 146.4-cm) = Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 225.4-cm and a standard deviation of 1.1-cm. For shipment, 8 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is greater than 225.4-cm. P( > 225.4-cm) = Enter your answer as a number accurate to 4 decimal places.
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD