Question

Please explain if any of my answers are wrong. Thank you.

Suppose a statistician wishes to test whether a large number of observations Xi follows an exponential distribution with parameter A = 1. He wishes to test this hypothesis exactly, and intends that if the observations follow an exponential distribution with a different parameter the test should reject the null hypothesis given sufficiently many observations. In addition, he wants to have a numeric statistic that he could report and does not want the procedure to involve rounding off observation numbers into bins. Which of the following goodness-of-fit tests would be the most appropriate for this purpose? Chi-squared Test Kolmogorov-Smirnov Test C Kolmogorov-Liliefors Test C Quantile-quantile plots Another statistician intends to assign an undergraduate to perform the chi-squared test and plot QQ-plots to test the hypothesis Ho : A = 1 Suppose that he does not get to see the actual data; he has only the test result as well as the plot. He thinks that the data may actually be generated froma geometric distribution with between the distributions Exp (1) and Gea aetep=1-e, and is worried that the tests he had in mind cannot distinguish (1 - e-1). Which of the followng is true if he uses the chi-squared test in this situation? (Choose all that apply.) f he uses the chi-squared test with bins [0, 1), [1, 2), ..., [N - 1, N), [N, 00) for some N, then the two distri butions are indistinguishable. f he uses the chi-squared test with bins that all contain at least one positive integer, then the two distributions are indistinguishable. Which of the followng is true if he uses the QQ-plot in this situation? t will not be possible to tell the distributions apart using a QQ-plot given a sufficiently large number of samples t will be possible to tell the distributions apart using a QQ-plot given a sufficiently large number of samples.

Answer 1

Answer:-

1)

Any measurable speculation test where the inspecting appropriation of the test measurement is a chi square dissemination when the invalid theory is valid

The chi square test is utilized to decide if there is a critical contrast between the normal frequencies and the watched frequencies in at least one classifications

Chi-squared test is correct answer.

2)

(a)

At the point when analyst use chi-squared test then for certain estimations of N,the two dispersions are unclear.

(0,1),(1,2),.........(N-1,N)(N,infinity)

1st option is correct.

(b)

In the event that he utilizes the QQ-plot in this circumstances

It will be conceivable to differentiate the dispersions utilizing a QQ plot given an adequately enormous number of tests.

2nd option is correct.