a) the appropriate test statistic b) observed valuec) p value and what it suggests about the strength of the evidence Suppose we observe two independent random samples X1,..., Xn, with each X; ~ N(µ1,0²) and Y1,..., Y, with each Y; ~ N(µ2, 0²).We will assume that u1, l2 and o are unknown.We are given a = 10.1, j = 7.1, s = 5.5 and s = 6.4, with n1 = 13 and n2 = 19.We would like to test the hypothesis Ho : µi = µ2 versus H1 : µ1 7 µ2.What test statistic should you use? You may assume the samples come from populations with equal variances.Select one:O a. T=Sal/T2n t12, where d is the mean and S is the sample variance of paired differences d; = Xị – Yi, i = 1,..., 13.O b. Z =X-ÝN(0,1), where o² = 6.04.o? V1/n+1/n,О с. Т%-X-Yv trtn-2, where S is the pooled estimate of variance.S,/1/n+1/nz The p-value suggests that there is strong evidence against the null hypothesis.Select one:O TrueFalse

a) Denote μ1, μ2 are the population means for 1st and 2nd populations, respectively.

Answered: Suppose we observe two independent…

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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Explain what this chart is showing.
estioh 20 For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 27 students, and the distribution of total study hours per week is bell-shaped with a mean of 14 hours and a standard deviation of 2.6 hours. Use the Empirical Rule to answer the following questions. a) 68% of the students spend between hours and hours on Statistics each week. b) 95% of the students spend between hours and hours on Statistics each week. c) 99.7% of the students spend between hours and hours on Statistics each week. Question Help: Written Example > Next Question DD 888 F9 80 FB F7 F6 F5 F4 F3 F2 F1 & 23 2$ 8. 9. 7 1 2 3 T Q W K H S F 8: < CO
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Part 1: Hypothesis Test for the Mean- Manual Tasks• Define your concern of interest drawing upon your variables in your dataset.• Conceptualize your null and alternate hypotheses based on your testing concept.a. Apply 1 one-sided test (upper-tail or lower-tail) and 1 two-sided test concepts for the mean with unknown population standard deviation (�) at 1%, 5%, or 10% levels of significance (choose one of them for each test) by stating the appropriate decision rule. b. Calculate p-value for each of your tests and perform testing for your same hypotheses with p-value solution. Comment on how p-value changes for 1%, 5%, and 10% significance levels (for all three).**Here in order to apply normal distribution approximation, it would be better if you choose your sample size greater than 100 (n>100).c. Make a confidence interval estimation for the population mean with unknown variancebased on 90%, 95% and 99% confidence levels and make interpretations for all three. Data is: Name…
Traditional Students (G1) Online Students (G2) mean 2.97 2.95 standard deviation 0.34 0.35 sample size 33 22 significance level: 0.05 degree of freedom: 53 a) what is the t-statistic? Show calculations b) what is the p-value? Show calculations
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