A random sample of Brand A light bulbs and a random sample of Brand B light bulbs were the mean lifetime of all Brand B light bulbs. The confidence interval was (-29.74, 56.85). Is selected. The lifetime (in hours) of each light bulb was determined, and the results were used to construct a 95% confidence interval for the mean lifetime of all Brand A light bulbs minus 819 there convincing evidence that the mean lifetimes of Brand A and Brand B light bulbs are different? Explain your answer.
given confidence interval is (-29.74, 56.85 )
'0 ' is including in this interval . therefore, there is no sufficient evidence to conclude that the mean life times of Brand A and Brand B light bulbs are different
A random sample of Brand A light bulbs and a random sample of Brand B light...
A light bulb manufacturer wants to compare the mean lifetimes of two of its light bulbs, model A and model B. Independent random samples of the two models were taken. Analysis of 11 bulbs of model A showed a mean lifetime of 1345 hours and a standard deviation of 102 hours. Analysis of 15 bulbs of model B showed a mean lifetime of 1389 hours and a standard deviation of 82 hours. Assume that the populations of lifetimes for each...
The lifetime of a certain brand of electric light bulb is known to have a standard deviation of 47 hours. Suppose that a random sample of 150 bulbs of this brand has a mean lifetime of 478 hours. Find a 90% confidence interval for the true mean lifetime of all light bulbs of this brand. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. What is the...
The lifetime of a certain brand of electric light bulb is known to have a standard deviation of 49 hours. Suppose that a random sample of 90 bulbs of this brand has a mean lifetime of 500 hours. Find a 90% confidence interval for the true mean lifetime of all light bulbs of this brand. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. What is the...
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A light bulb manufacturer wants to compare the mean lifetimes of two of its light bulbs, model A and model B. Independent random samples of the two models were taken. Analysis of 15 bulbs of model A showed a mean lifetime of 1350 hours and a standard deviation of 102 hours. Analysis of 14 bulbs of model B showed a mean lifetime of 1384 hours and a standard deviation of 91 hours. Assume that the...
The lifetime of a certain brand of electric light bulb is known to have a standard deviation of 48 hours. Suppose that a random sample of 100 bulbs of this brand has a mean lifetime of 500 hours. Find a 95% confidence interval for the true mean lifetime of all light bulbs of this brand. What is the lower limit of the 95% confidence interval?What is the upper limit of the 95% confidence interval?
9. The lifetime of a certain brand of light bulbs are assumed to be normally distributed. A researcher took a random sample of these light bulbs and observed the following failure times: 17 17 24 24 | 25 34 40 Let xay be the critical value of a t random variable with v degrees of freedom. The following table lists values of X., for specific combinations of a and v: v=6 v=7 a = 0.975 1.237 1.690 a=0.95a 1.635 1.2.167...
A light bulb manufacturer claims that the mean life of a certain type of light bulb is 750 hours. If a random sample of 36 light bulbs has a mean life of 725 hours with a standard deviation of 60 hours. Use a=0.05a. State the null and alternative hypotheses.b. State the Type I and Type II errors.c. Find the critical value. Do you have enough evidence to reject the manufacturer’s claim?d. Find the p-value.e. Construct a 95% confidence interval for...
Question 4 (2 points) The lifetimes of a certain brand of light bulbs are known to be normally distributed with a mean of 1,500 hours and a standard deviation of 400 hours. A random sample of 64 of these light bulbs is taken. The probability is 0.15 that the sample mean lifetime is more than how many hours? 1) 1670 2) 1548 3) 1552 4) 1652
1. A random sample of 56 fluorescent light bulbs has a mean life of 645 hours. As- sume the population standard deviation is 31 hours. a) Construct a 95% confidence interval for the population mean. b) If one of the light bulbs only lasted 620 hours, would that be unusual? c) If the population mean of the all of the light bulbs turned out to be 620 hours, would you be surprised?
O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Confidence interval for the difference of population means: Use ... A light bulb manufacturer wants to compare the mean lifetimes of two of its light bulbs, model A and model B. Independent random samples of the two models were taken. Analysis of 10 bulbs of model A showed a mean lifetime of 1240 hours and a standard deviation of 89 hours. Analysis of 14 bulbs of model B showed a mean lifetime of 1253...