7.4.9. Let A1,..., An be lid with where, where 0 > 0. (a) Find the mle 0 of 0. (b) Is a sufficient statistic for 0? Why?
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- A chi-square test of independence is the most appropriate to use when the characteristics were are studying: all of the answers consists of frequencies rather scores is normally distributed in the population is measured at the interval/ratio level1.2 Determine the probability density function, mean, variance, median and quartiles of the extreme value distribution with, P(X ≤x) = 1- exp{-e(x-μ)/"} What kind of distribution is this? 37.16 Using an app or the Web on a smartphone. The Nielsen Company reports that U.S. residents aged 18 to 34 years spend an average of 2.83 hours per day using an app or the Web on a smartphones You wonder if this it true for students at your large university because you rarely see students not using their smartphones. You collect an SRS of n = 75 students and obtain 2 = 3.17 hours with s =1.36 hours. (a) Report the 95% confidence interval for u, the average number of hours per month that students at your university use the Internet on a computer. (b) Use this interval to test whether the average time for students at your university is different from the average, reported by Nielsen. Use the 5% significance level. Summarize your results.
- 1. Below are the results of 30 sixth-grade I.Q. scores. 92 95 97 100 102 106 93 95 98 100 103 108 94 97 99 100 103 108 94 97 100 100 103 108 94 97 100 101 104 109 The histogram for the raw data of 30 sixth-grade I.Q. scores is presented in the graph. 20 18 16 14 12 10 87 94 101 108 115 122 IQ scores Using statistical knowledge, state one valid observation about the distribution of data in context of the scenario. Be sure to write one complete sentence, i.e., use college-level writing, in order to earn full credit. Number of Students5.65. Find the mean µ, variance o², and standard deviation o of each distribution: 2 3 8 (a) (b) X f(x) X f(x) 1/4 -2 1/3 1/2 1/4 -1 7 1/2 1/649 of 2. CO 60 8 7. Fill in the table below: FiLl in the differences of each data value from the mean, then the squared lifferences. 2. I'– 1) 5. 3. -5 9. 14 7. 6. -1 25 8. 1. 49. 3) Calculate the sample standard deviation (s). 12 a) ENG 2/1 dy ins prt sc f12 delete home + backspace unu lock
- 6.3.19 Assume that adults have IQ scores that are normally distributed with a mean of 108 and a standard deviation of 15. Find the third quartile Upper Q 3 , which is the IQ score separating the top 25% from the others.. The third quartile, Upper Q 3 , is nothing . (Round to one decimal place as needed.)Stoaches are fictional creatures, sometimes mistaken for mome raths. Suppose a two-tailed t-test is conducted to test for a difference between the population means of adult female stoach weights and adult male stoach weights. The female sample has 13 weights, and the male sample has 7 weights. The t-statistic for the test is -0.20542. What is the p-value? (Give your answer to 4 decimal places.) p-value:33. If X is a normal variate with mean u and variance X- o? and P - b< .2A study is conducted to determine factors in solving missing persons cases. The outcome is Y; which is equal to 1 if the i-th missing person case is unsolved and 0 if it is solved. Let covariate X1; be an indicator equal to 1 if the i-th case is female and 0 for male. Let X2i be a categorical covariate of age group for the i-th case. Categories are less than 14 years old (base level/group), between 14 and 19 years old, and older than 19 years. Set u = P(Y = 1) and the following model is fit: logit(u) = Bo + BịI(Female) + B2I(14 to 19 yrs old) + B3I(> 19 yrs old) The output from the model is below: Estimate S.E. p-value Bo -4.565 0.128 0.380 0.087 B2 Вз -0.198 0.042 0.163 1.128 0.133 a. Using the logistic regression output, calculate the estimated odds ratio of a case being unsolved (again Y=1 is unsolved and Y=0 is solved) comparing females to males (female is the numerator odds) of the same age. Interpret this odds ratio in context of the problem. iii b. Create a 95% confidence…11.1.13 Construct a confidence interval for p, - P2 at the given level of confidence. X1 = 375, n, = 505, x2 = 436, n2 = 586, 99% confidence The researchers are % confident the difference between the two population proportions, p1 -P2, is between and (Use ascending order. Type an integer or decimal rounded to three decimal places as needed.)6.2.8. Let X be N(0, 0), 0 <0 < x. (a) Find the Fisher information I(0). (b) If X₁, X2,..., Xn is a random sample from this distribution, show that the mle ofis an efficient estimator of 0. (c) What is the asymptotic distribution of √(-0)?SEE MORE QUESTIONS