Question

In: Statistics and Probability

26. The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether...

26. The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7500 hours. The population standard deviation is 1260 hours. A random sample of 81 light bulbs indicates a sample mean life of 7276 hours.

a. At the 0.05 level of​ significance, is there evidence that the mean life is different from 7500 hours?

b. Compute the​ p-value and interpret its meaning.

c. Construct a 95​% confidence interval estimate of the population mean life of the light bulbs.

d. Compare the results of​ (a) and​ (c). What conclusions do you​ reach?

e. Compare the results of parts​ (a) through​ (d) to those when the standard deviation is 900 hours.

Solutions

Expert Solution


Related Solutions

The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the...
The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,527 hours. The population standard deviation is 840 hours. A random sample of 49 light bulbs indicates a sample mean life of7,347 hours. a. At the 0.05 level of​ significance, is there evidence that the mean life is different from 7,527 hours? b. Compute the​ p-value and interpret its meaning. c. Construct a...
The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the...
The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,531 hours. The population standard deviation is 1,080 hours. A random sample of 8181 light bulbs indicates a sample mean life of 7,231 hours. a. At the 0.05 level of​ significance, is there evidence that the mean life is different from 7,531 hours? b. Compute the​ p-value and interpret its meaning. c. Construct...
The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the...
The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7544 hours. The population standard deviation is 1080 hours A random sample of 81 light bulbs indicates a sample mean life of 7244 hours. a. At the 0.05 level of​ significance, is there evidence that the mean life is different from 7544 hours? b. Compute the​ p-value and interpret its meaning. c. Construct...
The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the...
The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,476 hours. The population standard deviation is1,080 hours. A random sample of 81 light bulbs indicates a sample mean life of 7,176 hours. a. At the0.05 level of​ significance, is there evidence that the mean life is different from 7,476 hours? b. Compute the​ p-value and interpret its meaning. c. Construct a 95​%...
The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the...
The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFL's is equal to 7,500 hours. The population standard deviation is 1,000 hours. A random sample of 64 CFL's indicates a sample mean life of 7,250 hours. Level of significance is 0.05. 1. What is the p-value? Round to 4 decimal places i.e 0.0432 2. What is the critical value? Round answer to 4 decimal places i.e....
The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the...
The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,501 hours. The population standard deviation is 700 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,351 hours. a. At the 0.05 level of​ significance, is there evidence that the mean life is different from 7,501 hours? b. Compute the​ p-value and interpret its meaning. c. Construct...
The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the...
The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,487 hours. The population standard deviation is 1,080 hours. A random sample of 81 light bulbs indicates a sample mean life of 7,187 hours. a. At the 0.05 level of​ significance, is there evidence that the mean life is different from 7,487 hours? b. Compute the​ p-value and interpret its meaning. c. Construct...
The quality control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether...
The quality control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7,500 hours. The population standard deviation is 1,200 hours. A random sample of 64 CFLs indicates a sample mean life of 7,250 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7,500 hours? b. Compute the p-value and interpret its meaning. c. Construct...
The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the...
The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7.505 hours. The population standard deviation is 100 hours. A random sample of 64 light bulbs indicates a sample mean life of 7.480 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7.505 hours? b. Compute the p-value and interpret its meaning. c. Construct...
The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the...
The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7 comma 470 hours. The population standard deviation is 100 hours. A random sample of 64 light bulbs indicates a sample mean life of 7 comma 445 hours. a. At the 0.05 level of​ significance, is there evidence that the mean life is different from 7 comma 470 hours question mark b. Compute...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT