The lifetime of an electronical component is to be determined; it is assumed that it is an ex-ponentially distributed random variable. Randomly, users are asked for feedback for when thecomponent had to be replaced; below you can find a sample of 5 such answers (in months):19,23,21,22,24. Fill in the blanks below.(a) Using the method of maximum likelyhood, the parameter of this distribution is estimated to 2 =WRITE YOUR ANSWER WITH THREEDECIMAL PLACES in the form N.xxx. DO NOT ROUND.(b) Let L be the estimator for the parameter of this distribution obtained by the method of moments (above), and let H be the estimator for the parameter of this distributionobtained by the method of maximum likelyhood. What comparison relation do we have between L and M in this situation? Use one of the symbols <, = or > to fill in the blank.LM

Let us consider X be the lifetime of an electronical component follows Exponential distribution with…

Answered: The lifetime of an electronical…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose you want to determine whether the average values for populations 1 and 2 are different, and you randomly gather the following data. Test your conjecture, using a probability of committing a Type I error of .01. Assume the population variances are the same and x is normally distributed in the populations. Sample 1: 2 10 7 8 2 5 9 1 8 0 2 8 11 2 4 5 3 9 Sample 2: 10 12 8 7 9 11 9 8 9 10 11 10 11 10 7 8 10 10 Find the t-score to make a conclusion. (Round your answer to 2 decimal places, e.g. 1.75. Enter negative amount using a negative sign preceding the number e.g. -1.75.) Observed t = Type your answer here The decision is to Choose your answer here fail to reject the null hypothes is reject the null hypothesis.
A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At a=0.05, is there enough evidence to support the scientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Mouse 1 4 6. Weight (before) Weight (after) 20.8 22.4 21.7 23.6 19.6 19.9 20.8 22.5 21.5 23.7 19.5 19.8 1) Find the standardized t test 2) Find the P-value 3) Decide whether to reject or fail to reject the null hypothesis. 4) Interpret the decision in the context of the original claim. 19,600
Example 8.5: Traveling between two campuses of a university in a city via shuttle bus takes, on average, 28 minutes with a standard deviation of 5 minutes. In a given week, a bus transported passengers 40 times. What is the probability that the average transport time was more than 30 minutes? Assume the mean time is measured to the nearest minute
Listed below, from left to right and then top to bottom, are numbers of law enforcement fatalities for recent and consecutive years. First find the median, identify each value as being above the median or below the median, then test for randomness above and below the median using the runs test with a significance level of α=0.05. Is there a trend? 211 177 147 164 175 143 164 181 149 161 188 161 174 233 163 152 169 176 159 194 The median is enter your response here. (Type an integer or a decimal. Do not round.) Determine the null and alternative hypotheses. Determine the test statistic. enter your response here (Type an integer or decimal rounded to two decimal places as needed.)
Section 9.2 Question #8 Listed below are time intervals (min) between eruptions of a geyser. Assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Does it appear that the mean time interval has changed? Is the conclusion affected by whether the significance level is 0.10 or 0.01? Recent 77 91 90 78 57 100 61 87 69 89 83 83 55 81 73 101 61 Past 90 89 93 94 64 85 85 92 88 91 89 91 Let μ1 be the recent times and let μ2 be the past times. What are the null and alternative hypotheses? A. H0: μ1 = μ2 H1: μ1 ≠ μ2 B. H0: μ1 < μ2 H1: μ1 = μ2 C. H0: μ1 = μ2 H1: μ1 > μ2 D. H0: μ1 ≠ μ2…
The mean height of 15-year-old boys (in em) is 175 and the variance is 64. For girls, the mean is 165 and the variance is 64. Assuming that the two populations are nomally distributed. If eight boys and eight girls were sampled, then the probability that the mean height of the sample of boys would be higher than the mean height of the sample of girls 18: O 0 9878 O 0.0062 O 0.9938 0 9972 Let E[X(Y-1)] 10, E[X(Y#1)] 20, V(X) Then E(Y) 8. V(Y) 12 and V(X+Y) 30. O 14/5 12/5 2
A sociologist is interested in predicting yearly income (Y) based on formal education level (X) with an education level defined as the number of years of formal schooling. The following data were collected from six individuals. Education (X) Income x 1000 (Y) 10 15 14 29 9 14 14 37 12 20 13 23 A. Write the null hypothesis for this correlation. B. Define and provide N for this bivariate distribution.

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