Let X₁, X2,..., X and Y₁, Y2,..., Yn be independent random samples fromtwo normal distributions N(1,02) and N(μ2,02), respectively, where o² is thecommon but unknown variance.Find the likelihood ratio A for testing Ho: 1 = 2 = 0 against all alterna-tives.

Answered: pectively (²1,0 but unknown variance. d…

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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(CO 3) Consider the following table: Defects in batch 0 1 2 3 4 5 Find the variance of this variable. 1.40 1.49 1.88 1.97 Probability 0.21 0.19 0.30 0.15 0.11 0.04
[STATISTICS] MULTIPLE CHOICE: Which option is correct? I will upvote the solution. Thanks!
Test whether the correlation from question 1 is statistically significant (i.e., significantly different from 0). Report the df and p-value of the test. ID Alcohol (x) Tobacco (y) xy x^2 y^2 1 6.47 4.03 26.0741 41.8609 16.2409 2 6.13 3.76 23.0488 37.5769 14.1376 3 6.19 3.77 23.3363 38.3161 14.2129 4 4.89 3.34 16.3326 23.9121 11.1556 5 5.63 3.47 19.5361 31.6969 12.0409 6 4.52 2.92 13.1984 20.4304 8.5264 7 5.89 3.2 18.848 34.6921 10.24 8 4.79 2.71 12.9809 22.9441 7.3441 9 5.27 3.53 18.6031 27.7729 12.4609 10 6.08 4.51 27.4208 36.9664 20.3401 11 4.02 4.56 18.3312 16.1604 20.7936 Total 59.88 39.8 217.7103 332.3292 147.493
#2
An online math tutor service would like to claim that the average time spent taking a standardized test after students go through tutoring is less than the average time spent before going through tutoring. A simple random sample of students takes a pre-test, then goes through tutoring and takes a post-test. Results of the sample are shown below. Mean Variance Observations Pearson Correlation Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Confidence Level Before After 82.333 74.944 110.118 199.820 18 0.727 18 0 17 -3.227 0.002 -1.740 0.005 -2.110 99% What are the population parameters? Pick Is the two-sample hypothesis test a paired t-test or an unpaired t-test? Pick What is the level of significance? Ex: 0.12 What is the null hypothesis? Ho: Mafter Pick Mbefore What is the alternative hypothesis? Ha : Pafter Pick Should Ho be rejected or does Ho fail to be rejected? Pick What conclusion can be drawn from the data? Pick…
Can you please help me with parts C, E, and F?
X Y 7 3 3 1 6 5 4 4 5 2 Compute the Pearson correlation What is your conclusion? Be sure to state your rejection and interpretation. Also, give the statistics in APA style. Use a two-tailed test and alpha of .05
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.6 parts/million (ppm). A researcher believes that the current ozone level is at an excess level. The mean of 14 samples is 4.9 ppm with a variance of 1.2 Does the data support the claim at the 0.01 level? Assume the population distribution is approximately normal. Step 2 of 5 : Find the value of the test statistic. Round your answer to three decimal places.
Part A of question one asks for the variance (sigma squared), not the equation of regression line. Is the variance 2.79 as I listed on my answer sheet? Maybe my image didn't go through, but I already had the answer to subparts B and C to the question, which you list as #2 and #3. But I need help with parts D, E, and F. I have the following answers for D. d. Y hat (fitted value = 426.46), with residual of -1.62. e. r squared value = 1.00 g. 99% confidence interval = (-11.63, -1.05) Thanks thanks
1.Find the expected value E(X) 2.find the variance 3.find standard deviation 4.find the value of P(X<8) round all answers to one decimal

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pectively (²1,0 but unknown variance. d the likelihood ratio A for testing Ho: 1 = 2 = 0 aga -S.