5. Let X1,.., Xn ~ Geo(8).(a) Find a 90% asymptotic confidence interval for 0.(b) Find a 99% asymptotic lower confidence intervals for o = 1/0, the expected number of trialsuntil the first success.

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Answered: 5. Let X1,.., Xn ~ Geo(8). (a) Find a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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3. Time intervals (in minutes) X₁,..., Xn between successive eruptions of a geyser are modeled as X₂ Exponential (A), where A (> 0) is the eruption rate per minute. We want to report a plausible range for the median interval time. (d) 0 Find the MLE of A. (b) (c) Construct an approximate 95% confidence interval for A using the asymptotic distri- bution of AMLE. (Hint: use the approximation method for confidence interval) i.i.d. N = The median of the Exponential(A) distribution, denoted by 8, is a function of A as (log 2)/λ 0.693/A. Calculate an approximate 95% confidence interval for the median interval time using the Delta method. Find the Fisher information of A. -
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6). A random sample of 90 observations produced a mean of x¯=21 from a population with a normal distribution and a standard deviation σ=4.1.
For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (X) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield x=6.2, y = 5.9, r= -0.244, P-value = 0.087, and y =7.68 - 0.285x, Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x= 4. Use a 0.05 significance level. The best predicted value of y when x = 4 is (Round to one decimal place as needed.)
For 50 randomly selected speed dates, attractiveness ratings by males of their female date partnerS (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield *= 6.3, y = 6.1. r= - 0.283, P.value = 0.046, and g = 8.39 - 0.369x. Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x= 4. Use a 0.01 significance level. see score The best predicted value of g when x= 4 is 7. (Round to one decimal place as needed.)
e this K 23-2....xlsx ^ Assume that you have a sample of n₁ = 7, with the sample mean X₁ = 43, and a sample standard deviation of S₁ = 5, and you have an independent sample of n₂ = 16 from another population with a sample mean of X₂ = 31, and the sample standard deviation S₂ = 8. Construct a 90% confidence interval estimate of the population mean difference between ₁ and μ2. Assume that the two population variances are equal. ₁-₂ (Round to two decimal places as needed.) View an example Get more help. data-2_13_2023-2....xlsx ^ ... (0,0) Clear all More- Check answer Show all X ►
For 50 randomly selected speed dates, attractiveness ratings by males of their female date partners (x) are recorded along with the attractiveness ratings by females of their male date partners (y); the ratings range from 1 to 10. The 50 paired ratings yield *= 6.4. y = 6.0, r= - 0.279, P-value = 0.050, and g = 8.27 - 0.357x. Find the best predicted value of y (attractiveness rating by female of male) for a date in which the attractiveness rating by the male of the female is x=7. Use a 0.10 significance level. The best predicted value of y when x = 7 is (Round to one decimal place as needed.)
A random sample of n measurements was selected from a population with standard deviation o = 18 and unknown mean μ. Calculate a 90 % confidence interval for μ for each of the following situations: (a) n = 40, x= 75.7 <με (b) n = 60, x= 75.7 sus (c) n = 75, x = 75.7 OSAS the margin of error (width) of the confidence interval. (Enter: (d) In general, we can say that for the same confidence level, increasing the sample size "DECREASES", "DOES NOT CHANGE" or "INCREASES", without the quotes.)
If a project has an expected time of completion Te of 45 weeks witha standard deviation of 7 weeks, what is the probability of completing it (a) within one year (52 weeks)? (b) within 38 weeks.
1. In the past, a chemical company produced 880 pounds of a certain type of plastic per day. Now, using a newly developed and less expensive process, the mean daily yield of plastic for the first 50 days of production is 871 pounds; the standard deviation is 21 pounds. Do the data provide sufficient evidence to indicate that the mean daily yield for the new process is less than that of the old procedure? (Use α=0.05) (d) Conclusion of the test above is Reject the null hypothesis and the mean daily yield for the new process is less than that of the old procedure. Reject the null hypothesis and the mean daily yield for the new process is not less than that of the old procedure. Do not reject the null hypothesis and the mean daily yield for the new process is less than that of the old procedure. Do not reject the null hypothesis and the mean daily yield for the new process is not less than that of the old procedure.
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5. Let X1,.., Xn ~ Geo(8). (a) Find a 90% asymptotic confidence interval for 0. (b) Find a 99% asymptotic lower confidence intervals for o = 1/0, the expected number of trials until the first success.