Question

An alcohol distillation column historically produces yields that are normally distributed and are known to have...

An alcohol distillation column historically produces yields that are normally distributed and are known to have a standard deviation of 3.05 volume percent.
Find the minimum sample size required to estimate the true mean yield to within ± 1.75 volume percent using a 99% confidence interval.

zα 1.282 1.645 1.960 2.326 2.576 3.090
α(tail area) 0.1 0.05 0.025 0.01 0.005 0.001
%ile 90 95 97.5 99 99.5 99.9
Sample size is =
0 0
Add a comment Improve this question Transcribed image text
Answer #1

Answer:

Given that:

Add a comment
Know the answer?
Add Answer to:
An alcohol distillation column historically produces yields that are normally distributed and are known to have...
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
  • The target diameter of bolts from a production line is 8mm. Historically the bolt diameters are...

    The target diameter of bolts from a production line is 8mm. Historically the bolt diameters are normally distributed with a standard deviation of 0.05mm. To monitor this process periodically an engineer takes a random sample of 4 measurements. Let µ be the true average bolt diameter. The rejection region is:    Find the minimum value of c that yields a test with significance 0.05? zα 1.282 1.645 1.960 2.326 2.576 3.090 α(tail area) 0.1 0.05 0.025 0.01 0.005 0.001 %ile...

  • The target diameter of bolts from a production line is 12mm. Historically the bolt diameters are...

    The target diameter of bolts from a production line is 12mm. Historically the bolt diameters are normally distributed with a standard deviation of 0.1mm. To monitor this process periodically an engineer takes a random sample of 5 measurements. Let µ be the true average bolt diameter. The rejection region is: Find the minimum value of c that yields a test with significance 0.01? zα 1.282 1.645 1.960 2.326 2.576 3.090 α(tail area) 0.1 0.05 0.025 0.01 0.005 0.001 %ile 90...

  • The ambulance service wants to determine the proportion of call-outs that are life-threatening emergencies. A random...

    The ambulance service wants to determine the proportion of call-outs that are life-threatening emergencies. A random sample was taken from its files, and it was found that only 73 of 170 calls were life-threatening emergencies. Construct a 95% confidence interval for the true proportion of call-outs that are life-threatening emergencies, using the large sample confidence interval formula. zα 1.282 1.645 1.960 2.326 2.576 3.090 α(tail area) 0.1 0.05 0.025 0.01 0.005 0.001 %ile 90 95 97.5 99 99.5 99.9 Your...

  • The target diameter of bolts from a production line is 10mm. Historically the bolt diameters are...

    The target diameter of bolts from a production line is 10mm. Historically the bolt diameters are normally distributed with a standard deviation of 0.15mm. To monitor this process periodically an engineer takes a random sample of 6 measurements. Let µ be the true average bolt diameter. The rejection region is:    Find the minimum value of c that yields a test with significance 0.01? zα 1.282 1.645 1.960 2.326 2.576 3.090 α(tail area) 0.1 0.05 0.025 0.01 0.005 0.001 %ile...

  • A stock's returns are normally distributed with a mean of 8% pa and a standard deviation...

    A stock's returns are normally distributed with a mean of 8% pa and a standard deviation of 15 percentage points pa. What is the 99% confidence interval of returns over the next year? Note that the Z-statistic corresponding to a one-tail: • 90% normal probability density function is 1.282. • 95% normal probability density function is 1.645. • 97.5% normal probability density function is 1.960. • 99% normal probability density function is 2.326. • 99.5% normal probability density function is...

  • Suppose scores of a standardized test are normally distributed and have a known population standard deviation...

    Suppose scores of a standardized test are normally distributed and have a known population standard deviation of 8 points and an unknown population mean. A random sample of 25 scores is taken and gives a sample mean of 93 points. Find the margin of error for a confidence interval for the population mean with a 98% confidence level. z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576 You may use a calculator or the common z values above. Round...

  • Suppose the speeds of vehicles traveling on a highway are normally distributed and have a known...

    Suppose the speeds of vehicles traveling on a highway are normally distributed and have a known population standard deviation of 7 miles per hour and an unknown population mean. A random sample of 32 vehicles is taken and gives a sample mean of 64 miles per hour Find the margin of error for the confidence interval for the population mean with a 98% confidence level Z005 Z0.025 Z0.0 Z0.005 0.10 1.282 1.645 1.960 2.326 2.576 You may use a calculator...

  • T Distribution Table The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A...

    T Distribution Table The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 25 people reveals the mean yearly consumption to be 82 gallons with a standard deviation of 24 gallons. Assume that the population distribution is normal. (Use Distribution Table.) a-1. What is the value of the population mean? 82 24 Unknown a-2. What is the best estimate of this value? Estimate population mean c. For a 90% confidence interval, what is the value...

  • 9.2.17 Question Help A simple random sample of size nis drawn from a population that is...

    9.2.17 Question Help A simple random sample of size nis drawn from a population that is normally distributed. The sample mean, X, is found to be 106, and the sample standard deviations, is found to be 10. (a) Construct a 96% confidence interval about if the sample size, n, is 17 (b) Construct a 96% confidence interval about if the sample size, n, is 22 (c) Construct a 98% confidence interval about if the sample size, n, is 17 id...

  • S-adenosyl methionine (SAM-e) is a naturally occurring compound in human cells that is thought to have...

    S-adenosyl methionine (SAM-e) is a naturally occurring compound in human cells that is thought to have an effect on depression symptoms. Suppose that a researcher is interested in testing SAM-e on patients who are struggling with HIV. He obtains a sample of n = 20 patients and asks each person to take the suggested dosage each day for 4 weeks. At the end of the 4-week period, each individual takes the Beck Depression Inventory (BDI), which is a 21-item, multiple-choice...

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
ADVERTISEMENT