b) What is the observed value of the test statistic for the appropriate hypothesis test of ?0 : ?1 =?2. versus ?1 : ?1 ≠ ?2 n₁Suppose we observe two independent random samples X₁, ..., Xn with each X₁Y₁ N(μ₂,0²). We will assume that µ₁, µ₂ and ² are unknown.We are given x =10.1, y = 7.1, s² = 5.5 and sWe would like to test the hypothesis Ho: M₁ = µ₂ versus H₁ μ₁ ‡ M₂.What test statistic should you use? You may assume the samples come from populations with equal variances.Select one:a. T= =b. TC.=Z =dSal√12X-YSp√/1/n₁+1/m₂N(μ₁,0²) and Y₁, ..., Yn with each=X-Y0²√1/m₁+1/m₂t12, where d is the mean and S2 is the sample variance of paired differences d; = = x¡ — Y¡, i = 1, ...,..., 13.tn +m₂-2, where S is the pooled estimate of variance.N(0, 1), where o² = 6.04.6.4, with n₁ = 13 and n₂ = 19.

Given n1=13, n2=19, s2x=5.5, s2y=6.4

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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In general terms, what is a hypothesis test? Are hypothesis tests based on descriptive statistics or inferential statistics? Is a t test an inferential statistic? a. Enter your response here.
In conducting a significance test, is it easier or harder to reject the null hypothesis when it's a two-tailed test instead of a one-tailed test? A: easier B: harder
What’s P value???
According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%? Test at the 5% level. (i) Which of the following statements correctly defines the null hypothesis HO? A. μ = 321 B. p < 0.23 C. p = 0.23 D. μ < 321 Enter letter corresponding to correct answer (ii) Which of the following statements correctly defines the alternative hypothesis HA? A. μ = 321 B. p < 0.23 C. p = 0.23 D. μ < 321 Enter letter corresponding to correct answer (iii) Enter the level of significance α used for this test: Enter in decimal form. Examples of correctly entered answers: 0.01 0.02 0.05 0.10 (iv) Determine pˆiv Determine p^ Enter…
3. School administrators are interested to see if computer science majors and engineering majors study the same amount of hours per week, on average. A random sample of 125 computer science majors returns a sample average of 25 hours per week and a sample standard deviation of 2 hours. Next, a random sample of 144 engineering majors returns a sample average of 22 hours with a sample standard deviation of 3 hours.
a. set up appropriate null and alternative hypotheses of the test b. choose an appropriate test statistic and use the data to find the p-value
A null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Ho Ś 4.8 Ha > 4.8 What type of test is being conducted in this problem? O A. Two-tailed test O B. Right-tailed test O C. Left-tailed test
This question: 5 point(s) possible In a study of 823 randomly selected medical malpractice lawsuits, it was found that 477 of them were dropped or dismissed. Use a 0.01 significance level to test the claim that most medical malpractice lawsuits are dropped Which of the following is the hypothesis test to be conducted? OA. Ho: p=0.5 H₁: p>0.5 OC. Ho: p=0.5 H₁: p 0.5 H₁: p=0.5 OF. Ho: p0.5 H₁: p=0.5 WA (C) dismissed.
A null and alternative hypothesis are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Ho: Ha: p = 0.7 p = 0.7 What type of test is being conducted in this problem? A. Right-tailed test B. Two-tailed test C. Left-tailed test 20
B. What is the test statistic? z=___ C. What is the P-value? P-value=___ D. What is the null hypothesis, and what do you conclude about it? H0: p≠0.09or H0: p<0.09 or H0: p=0.09 or H0: p >0.09 E. Reject the null hypothesis or Fail to reject the null hypothesis? Why? F. What is the final conclusion?
a. If a null hypothesis is rejected with a significance level of 0.05, is it also rejected with a significance level of 0.01? Why or why not? Suppose the level of significance for carrying out the test is lowered from 5% to 1%. As a result, has the likelihood of rejecting the null hypothesis when it is true increased or decreased? Explain

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