2. The lifetimes of two types of LEDs were compared, two samples were collected and the following are the results (in 1000 hours) n mean Type I st.dev. 25 56.8 4.3 Type II 18 54.6 3.6 Find a 95% confidence interval for the difference of the two means. Using the CI, test the hypothesis that the means are equal.
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- HelpThe type of alloy used in manufacturing electric wire is important in reducing resistance. It has been suggested that the use of one type of alloy can reduce the wire resistance by more than 0.05 ohm. An experiment was conducted two types of wire, one with the alloy added and a second without the allow added. The mean resistances of 32 samples of each type of wire resulted in a mean resistance of the wire with alloy added being 0.136 ohm and the resistance of the wire without the allow added was 0.083 ohm. The standard deviation associated with this type of experiment is known to be 0.0045 ohm. a) Test the claim that resistance of electric wire can be reduced by more than 0.05 ohm by adding an alloy to the wire. Use a significance value of 0.05. b) Verify the conclusion in part a) with the p-value c) Verify the conclusion in part a) with the appropriate confidence interval Note that in this problem, populations variances are KNOWN. Samples are large enough (greater than 30) that no…A2.2
- A medical researcher wishes to see whether the pulse rates of smokers are higher than the pulse rates of nonsmokers. Samples of 100 smokers and 100 nonsmokers are selected. The results are shown below. Smokers Nonsmokers X = 90 S1 = 5 nj = 100 X2 = 88 %3D S2 = 6 n2 = 100 a) Find a 99% confidence interval for the true mean difference in smokers pulse rates and nonsmokers pulse rates. b) At a = 0.05, can we conclude that the pulse rates of smokers is higher than the pulse rates on nonsmokers?A study was performed to determine whether men and women differ in repeatability in assembling components on a specific engine part. Random samples of 28 men and 25 women were selected, and each subject assembled the units. The two sample standard deviations of assembly time were S??? = 1.98 minutes and S????? = 2.31 minutes. Do we accept the claim that men and women differ in repeatability for this assembly task? Use α = 0.02. (Treat S??? ?? S1,??? S????? ?? S2) Find the: Parameter of interest: ? Null hypothesis: ? Alternative hypothesis: ? Test statistic: ? Reject H0 if: ? Computations: ? Conclusion: ?Vn 17:11. A stenographer claims that she can take dictation at the rate of 120 words Can we reject her claim on the basis of 100 trials in which she demonstrates a mean of 116 words with a standard deviation of 15 words ? Use 5 per cent level of significance.[Delhi Univ. B.A. (Econ. Hons.), 1990] per minute. wiz to Isvol 2 10 000
- Newspaper headlines recently announced a decline in science scores among high school seniors. In 2015, 15,109 seniors tested by The National Assessment in Education Program (NAEP scored a mean of 147 points. In 2000, 7537 seniors had averaged 150 points. The standard error of the difference in the mean scores for the two groups was 1.22. a) State the null and alternative hypotheses in terms of the appropriate parameter. Ho: p1 - µ2 HA: H1 - µ2 b) The point estimate is c) The test statistic is ? v . (If necessary, round your answer to the nearest hundredth.) d) The p-value is e) The correct decision is to Select an answer | the null hypothesis. f) There is Select an answer evidence that scores have decreased between 2000 and 2015. g) We are 95% confident that the mean score has decreased by between and points between 2000 and 2015. (If necessary, round your answers to the nearest hundredth.)Find the value of tal2 and n = 25 for the %3D 90% confidence interval for the mean if the population standard deviation, ơ, is not known.A forestry researcher is conducting a study of trees in the upper midwest. He selects a random sample of 125 red maple trees and measures the trunk diameter of each. The mean of the sample is 25 inches with a standard deviation of 5.2 inches, use this to find a 95% confidence interval for the mean trunk diameter of all red maple trees.
- Construct a 95% confidence interval for the mean difference in their total ventilation when the subjectsare at rest and when performing imaginary muscular work if hypnosis is induced between the twophases.Do not use R.A researcher comparing the means of dependent samples consisting of 30 matched pairs and obtained a mean difference of 5 and a standard error of the mean difference of 2. The confidence interval for the mean difference was (1.6, 8.4). What confidence level was used in constructing the interval?The mean change in muscle thickness observed after a 4-week training regimen was 4 mm, and the 95% confidence interval (CI) for mean change was (-0.5, 8.5). Which is the best scientific conclusion for the effectiveness of this regimen ?