Question

In: Statistics and Probability

A manufacturer of light bulbs claims that its light bulbs have a mean life of 1520...

  1. A manufacturer of light bulbs claims that its light bulbs have a mean life of 1520 hours. If a random sample of 40 bulbs is tested and has an average life of 1500 hours and the standard deviation is 80 hours, is there sufficient evidence to claim that the mean life is different than the manufacturer's claim? Use alpha = 0.01.
  2. Calculate the test statistic.
  3. Calculate a confidence interval for the true mean light bulb life. Use the level of confidence that matches the hypothesis test you conducted above at the alpha = 0.01 significance level. Do NOT interpret.

Solutions

Expert Solution


Related Solutions

GE, a company that makes light bulbs claims that its bulbs have a mean life of...
GE, a company that makes light bulbs claims that its bulbs have a mean life of 800 hours with a standard deviation of 32 hours. Show all work a)If you buy a four-pack of bulbs, what is the probability that the mean life will be 775 to 850 hours for that four-pack ? b)If you buy a case of 40 bulbs, what is the probability that the mean lifewill be 775 to 850 hours for the entire case? answers accurate...
A manufacturer claims that the mean lifetime,U , of its light bulbs is 54 months. The...
A manufacturer claims that the mean lifetime,U , of its light bulbs is 54 months. The standard deviation of these lifetimes is 8 months. One hundred fifty bulbs are selected at random, and their mean lifetime is found to be 53 months. Can we conclude, at the 0.05 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 54 months? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations...
A manufacturer claims that the mean lifetime, u, of its light bulbs is 50 months. The...
A manufacturer claims that the mean lifetime, u, of its light bulbs is 50 months. The standard deviation of these lifetimes is 8 months. Fifty bulbs are selected at random, and their mean lifetime is found to be 49 months. Can we conclude, at the 0.1 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 50 months?
A manufacturer of light bulbs claims that the average lifetime of one of their bulbs is...
A manufacturer of light bulbs claims that the average lifetime of one of their bulbs is more than 900 hours. A consumer advocacy group wants to test this claim. They obtained a simple random sample of 61 bulbs and timed how long they took to burn out. They obtained a sample mean of 907.5 hours with a standard deviation of 16.5 hours. It’s your job to test the claim at the 5% significance level and determine if the manufacturer is...
A light-bulb manufacturer advertises that the average life for its light bulbs is 900 hours. A...
A light-bulb manufacturer advertises that the average life for its light bulbs is 900 hours. A random sample of 15 of its light bulbs resulted in the following lives in hours.                          995 590 510 539 739 917 571 555                          916   728   664   693   708   887   849 At the 10% significance level, test the claim that the sample is from a population with a mean life of 900 hours. Use the P-value method of testing hypotheses. Identify the null and alternative hypotheses,...
A manufacturer of light bulbs finds that one light bulb model has a mean life span...
A manufacturer of light bulbs finds that one light bulb model has a mean life span of 1025 h with a standard deviation of 80 h. What percent of these light bulbs will last as follows? (Round your answers to one decimal place.) (a) at least 970 h % (b) between 810 and 880 h %
A company that manufactures light bulbs claims that its light bulbs last an average of 1500...
A company that manufactures light bulbs claims that its light bulbs last an average of 1500 hours. A consumer research group wants to test the hypothesis that the mean life of light bulbs manufactured by this company is less than 1500 hours. A sample of 35 light bulbs manufactured by this company gave a mean life of 1450 hours with a standard deviation of 100 hours. The significance level of the hypothesis test is 5% and the distribution for the...
A company manufactures light bulbs. These light bulbs have a length of life that is normally...
A company manufactures light bulbs. These light bulbs have a length of life that is normally distributed with a known standard deviation of 40 hours. If a sample of 36 light bulbs has an average life of 780 hours, find the 95 percent confidence interval for the population mean of all light bulbs manufactured by this company.
A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1300 hours. A homeowner...
A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1300 hours. A homeowner selects 25 bulbs and finds the mean lifetime to be 1270 hours with a standard deviation of 80 hours. Test the manufacturer's claim. Use α = 0.05.
A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1000 hours. The lifetimes...
A manufacturer claims that the mean lifetime of its fluorescent bulbs is 1000 hours. The lifetimes are normally distributed with a standard deviation of σ = 80 hours. A homeowner decides to test the manufacturer's claim; in a random sample of 40 bulbs, the mean lifetime is 980 hours. At a significance level of α = 0.05, does this data provide evidence to reject the manufacturer's claim? Show all 7 steps for p-value method.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT