Question

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a stan

0 0
Add a comment Improve this question Transcribed image text
Answer #1

z value for 99% CI is 2.576 as P(-2.576<z<2.576)=0.99

Margin of Error is E=4

Standard deviation is \sigma=25

Hence we will find n using formula of E

E=z*\frac{\sigma }{\sqrt{n}}

So n=(\frac{z*\sigma}{E})^2=(\frac{2.576*25}{4})^2=259.21=260

Add a comment
Know the answer?
Add Answer to:
An electrical firm manufactures light bulbs that have a length of life that is approximately normally...
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
  • An electrical firm manufactures light bulbs that have a length of life that is approximately normally...

    An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 40 hours. If a sample of 30 bulbs has an average life of 780 hours, find a 96% confidence interval for the population mean of all bulbs produced by this firm. How large a sample is needed if we wish to be 96% confident that our sample mean will be within 10 hours of the true mean?

  • An electrical firm manufactures light bulbs that have a length of life that is approximately normally...

    An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 20 hours.  If a sample of 30 bulbs has an average life of 780 hours, how large a sample is needed if we wish to be 95% confident that our sample mean will be within 4 hours of the true mean. a. 62 b. 68 c. 100 d. 97

  • An electrical firm manufactures light bulbs that have a length of life that is approximately norm...

    An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 20 hours.  If a sample of 30 bulbs has an average life of 780 hours, how large a sample is needed if we wish to be 95% confident that our sample mean will be within 4 hours of the true mean. a. 62 b. 68 c. 100 d. 97

  • 9.2 An electrical firm manufactures light bulbs that have a length of life that is approximately...

    9.2 An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standard deviation of 40 hours. If a sample of 30 bulbs has an average life of 780 hours, find a 96% confidence interval for the population mean of all bulbs produced by this firm. Many cardiac patients wear an implanted pace- maker to control their heartbeat. A plastic connec- tor module mounts on the top of the pacemaker. As- suming...

  • A n electrical firm manufactures light bulbs that have a length of life that is approximately...

    A n electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a sample standard deviation of 40 hours.  If a sample of 16 bulbs has an average life of 770 hours, find a 95% two-sided confidence interval for the population mean of all bulbs produced by this firm. a. 750.40 < µ < 789.60 b. 752.47 < µ < 787.53 c. 761.47 < µ < 796.53 d. 748.69 < µ < 791.31

  • An electrical firm manufactures light bulbs that have a length life with normal distribution, and a...

    An electrical firm manufactures light bulbs that have a length life with normal distribution, and a standard deviation of o = 40 hours. A sample of size n = 100 bulbs has an average life of 650 hours. Find the lower 99% confidence bound for the population mean of all bulbs produced by this firm. (use interval notation). What z value (s) did you use to calculate the confidence interval above? Explain why briefly.

  • An electrical firm manufactures light bulbs that have a length life with normal distribution, and a...

    An electrical firm manufactures light bulbs that have a length life with normal distribution, and a standard deviation of o = 10 hours. A sample of size n = 100 is obtained, and its sample mean is calculated to be I = 320 hours. Find the 95% confidence interval for the average length life p. Find the upper 95% bound for the average length life u. Find the lower 95% bound for the average length life u. Give your answer...

  • An electrical firm manufactures light bulbs that have a length life with normal distribution, and a...

    An electrical firm manufactures light bulbs that have a length life with normal distribution, and a standard deviation of o = 40 hours. A sample of size n = 100 bulbs has an average life of 740 hours. Find the 95% confidence interval for the population mean of all bulbs produced by this firm. (use interval notation). What z value(s) did you use to calculate the confidence interval above? Explain why briefly.

  • An electrical firm which manufactures a certain type of bulb wants to estimate its mean life....

    An electrical firm which manufactures a certain type of bulb wants to estimate its mean life. The life of the light bulb is normally distributed with a standard deviation of 40 hours. A random sample of 36 bulbs resulted in a mean of 200 hours. a) (3 points) Construct a 92% confidence interval for the mean life of all light bulbs the firm manufactures. b) (4 points) How many bulbs should be tested so that we can be 92% confident...

  • An electrical firm which manufactures a certain type of bulb wants to estimate its mean life....

    An electrical firm which manufactures a certain type of bulb wants to estimate its mean life. The life of the light bulb is normally distributed with a standard deviation of 40 hours. A random sample of 36 bulbs resulted in a mean of 200 hours. a) (3 points) Construct a 92% confidence interval for the mean life of all light bulbs the firm manufactures. b) (4 points) How many bulbs should be tested so that we can be 92% confident...

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