Question

In: Statistics and Probability

Statistics Let us compare the failure times of certain type of light bulb produced by two...

Statistics

Let us compare the failure times of certain type of light bulb produced by two different manufacturers, X and Y, by testing 10 bulbs selected at random from each of the outputs. The data, in hundreds of hours used before failure, are

x: 5, 64, 66, 84, 96, 15, 34, 55, 85, 44, 7
y: 7, 28, 15, 17, 36, 97, 85, 96, 76, 57, 1

a. Use the Wilccoxon signed rank statistic to test the equality of medians of the failure times at an approximate 0.05 level of significance?
b. What is the p-value of your test?

Solutions

Expert Solution

PL??


Related Solutions

A light bulb manufacturer guarantees that the mean life of a certain type of light bulb...
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 720 hours. A random sample of 51 light bulbs as a mean of 701.6 hours with a population standard deviation of 62 hours. At an α=0.05, can you support the company’s claim using the test statistic? claim is the alternative, reject the null and support claim as test statistic (-2.12) is not in the rejection region defined by the critical value...
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb...
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 757 hours. A random sample of 22 light bulbs has a mean life of 729 hours. Assume the population is normally distributed and the population standard deviation is 65 hours. At a=0.02​, do you have enough evidence to reject the​ manufacturer's claim. 1. identify null and alternative hypothesis 2.identify region rejections on graph 3.identify standarized test statstics 4. interpret decision
A light bulb manufacturer guaran tees that the mean life of a certain type of light...
A light bulb manufacturer guaran tees that the mean life of a certain type of light bulb is at least 750 hours. A random sample of 250 light bulbs has a mean life of 745 hours. The population standard deviation standard deviation is 60 hours. Test the manufacturer's claim is at  . a) Write the null and alternative hypotheses and tell which is the claim. b) Write the P-value and how you calculated it. (what you typed into the calculator) c)...
Generate sample data for time to light bulb failure that will be used for a weibull...
Generate sample data for time to light bulb failure that will be used for a weibull distribution.   use anywhere from 50 - 100 data points.
Generate sample data for time to light bulb failure that will be used for a weibull...
Generate sample data for time to light bulb failure that will be used for a weibull distribution.   use anywhere from 50 - 100 data points.
The lifetime of a certain brand of electric light bulb is known to have a standard...
The lifetime of a certain brand of electric light bulb is known to have a standard deviation of 46 hours. Suppose that a random sample of 80 bulbs of this brand has a mean lifetime of 480 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. (If necessary, consult...
The lifetime of a certain brand of electric light bulb is known to have a standard...
The lifetime of a certain brand of electric light bulb is known to have a standard deviation of 51 hours. Suppose that a random sample of 70 bulbs of this brand has a mean lifetime of 493 hours. Find a 95% 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. (If necessary, consult...
A certain brand of light bulb is advertised to last 1600 hours. Suppose that the lifetimes...
A certain brand of light bulb is advertised to last 1600 hours. Suppose that the lifetimes of the light bulbs are normally distributed with a mean lifetime of 1650 hours and a standard deviation of 60 hours. (a) Sketch the normal distribution, go out 3 standard deviations. (b) What proportion of the light bulbs last at least the advertised time of 1600 hours? P(x ≥ 1600) = (Use the normalcdf on your graphing calculator.) (c) What proportion of light bulbs...
Problem Page The lifetime of a certain brand of electric light bulb is known to have...
Problem Page 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 50 bulbs of this brand has a mean lifetime of 480 hours. Find a 99% 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.
Suppose that a certain brand of light bulb has a mean life of 450 hours and...
Suppose that a certain brand of light bulb has a mean life of 450 hours and a standard deviation of 73 hours. Assuming the data are bell-shaped: (Show work to get full credit) a. Would it be unusual for a light bulb to have a life span of 320 hours? 615 hours? Justify each response. b. According to the Empirical Rule, 99.7% of the light bulbs have a lifetime between what two values? c. Determine the percentage of light bulbs...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT