Question

53. Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.2. a. If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 9 pins is at least 51? Answer市 b. Without assuming population normality, what is the (approximate) probability that the sample mean hardness for a random sample of 40 pins is at least 51? Answer


Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.2. 

a. If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 9 pins is at least 51? 

b. Without assuming population normality, what is the (approximate) probability that the sample mean hardness for a random sample of 40 pins is at least 51?

1 2
Add a comment Improve this question Transcribed image text
Answer #1

ニ 1一軍(25) = 1-0-934 ー ·066

Add a comment
Answer #2
[REMOVED]
Add a comment
Answer #3
[REMOVED]
Add a comment
Answer #4
[REMOVED]
Add a comment
Know the answer?
Add Answer to:
Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.2
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Rockwell hardness of pins of a certain type is known to have a mean value of...

    Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.2. (Round your answers to four decimal places.) (a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 11 pins is at least 51? (b) What is the (approximate) probability that the sample mean hardness for a random sample of 43 pins is at least 51?

  • Rockwell hardness of pins of a certain type is known to have a mean value of...

    Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.6. (Round your answers to four decimal places.) (a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51? (b) What is the (approximate) probability that the sample mean hardness for a random sample of 37 pins is at least 517

  • 3. -/33.34 points DevoreStat9 5.E.053. My Notes Ask Your Rockwell hardness of pins of a certain...

    3. -/33.34 points DevoreStat9 5.E.053. My Notes Ask Your Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.8. (Round your answers to four decimal places.) (a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 13 pins is at least 51? 0.0212 (b) What is the approximate) probability that the sample mean hardness for a random...

  • 5. -12 points DevoreStat9 5.E.053. My Notes Ask Your Teacher Rockwell hardness of pins of a...

    5. -12 points DevoreStat9 5.E.053. My Notes Ask Your Teacher Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.5. (Round your answers to four decimal places.) (a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 9 pins is at least 51? (b) What is the (approximate) probability that the sample mean hardness for a random...

  • A random sample of 12 shearing pins is taken in a study of the Rockwell hardness...

    A random sample of 12 shearing pins is taken in a study of the Rockwell hardness of the head on the pin. Measurements on the Rockwell hardness were made for each of the 12, yielding an average value of 48.5. Assuming the population standard deviation is 1.5, construct a 90% confidence interval for the mean Rockwell hardness. Test the hypothesis that the average Rockwell hardness is 48 at a 0.01 level of significance.

  • 5· The hardness of a certain alloy (measured on the Rockwell scale) is a random variable...

    5· The hardness of a certain alloy (measured on the Rockwell scale) is a random variable X. Assume that this hardness is normally distributed with true standard deviation ơ-0.75. A sample of 20 alloys was taken and the average hardness was found to be 4.85 Compute a 95% confidence interval for the true hardness of this certain alloy. What sample size is necessary to estimate true average hardness within 0.2 with 90% confidence? b.

  • A population has a normal distribution with a mean of 50 and a standard deviation of...

    A population has a normal distribution with a mean of 50 and a standard deviation of 10. If a random sample of size 9 is taken from the population, then what is the probability that this sample mean will be between 48 and 54?

  • Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 71 and standard deviation 3.

    The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 71 and standard deviation 3. (a) If a specimen is acceptable only if its hardness is between 70 and 74, what is the probability that a randomly chosen specimen has an acceptable hardness? (Round your answer to four decimal...

  • Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 69 and standard deviation 3.

    The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 69 and standard deviation 3. (a) If a specimen is acceptable only if its hardness is between 68 and 73, what is the probability that a randomly chosen specimen has an acceptable hardness? (Round your answer to four decimal...

  • A population with a mean of 1,250 and a standard deviation of 400 is known to...

    A population with a mean of 1,250 and a standard deviation of 400 is known to be highly skewed to the right. If a random sample of 64 items is selected from the population, what is the probability that the sample mean will be more than 1,325?

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT