Question

In: Statistics and Probability

Problem 3. Find the following quantities for ?= 0.1, 0.05, 0.01. (a)z?/2 (b)t9,?/2, t15,?/2, t25,?/2 (c)?28,?/2,...

Problem 3. Find the following quantities for ?= 0.1, 0.05, 0.01.

(a)z?/2

(b)t9,?/2, t15,?/2, t25,?/2

(c)?28,?/2, ?28,1??/2

Solutions

Expert Solution

The quantities can be found by respective tables or by simple R-commands.

(a) We have the following values as below.

For , we have , founded by command qnorm(0.1/2).

For , we have , founded by command qnorm(0.05/2).

For , we have , founded by command qnorm(0.01/2).

(b) For , we have

  • , founded by command qt(0.1/2,df=9).
  • , founded by command qt(0.1/2,df=15).
  • , founded by command qt(0.1/2,df=25).

For , we have

  • , founded by command qt(0.05/2,df=9).
  • , founded by command qt(0.05/2,df=15).
  • , founded by command qt(0.05/2,df=25).

For , we have

  • , founded by command qt(0.01/2,df=9).
  • , founded by command qt(0.01/2,df=15).
  • , founded by command qt(0.01/2,df=25).

(c) For , we have

  • , founded by command qchisq(0.1/2,df=8).
  • , founded by command qchisq(1-(0.1/2),df=8).

For , we have

  • , founded by command qchisq(0.05/2,df=8).
  • , founded by command qchisq(1-(0.05/2),df=8).

For , we have

  • , founded by command qchisq(0.01/2,df=8).
  • , founded by command qchisq(1-(0.01/2),df=8).

Related Solutions

A single-sampling plan has ? = 0.01, ? = 0.01, ?2 = 0.05, and ? =...
A single-sampling plan has ? = 0.01, ? = 0.01, ?2 = 0.05, and ? = 0.02. What should be the sample size ? and acceptance number ??
Write the appropriate symbol for each of the following isotopes: (a) Z=11,A=23. (B) Z=28, A=64. (C)...
Write the appropriate symbol for each of the following isotopes: (a) Z=11,A=23. (B) Z=28, A=64. (C) Z=50, A=115. (D) Z=20, A=42.
(a) Find P [Z > 1.26]. (b) Find P [Z > -1.37}. (c) find P[-1.25 (a)...
(a) Find P [Z > 1.26]. (b) Find P [Z > -1.37}. (c) find P[-1.25 (a) Find P [Z > 1.26]. (b) Find P [Z > -1.37}. (c) find P[-1.25<Z<0.37). (d) find z such that P[Z>z]=0.05. (e) find z such that P[-z<Z<z]=0.99. (f) find the value of k such that P[k<Z<-0.18]=0.4197
Problem 3 Find the solutions to the general cubic a x^3 +b x^2+c x +d=0 and...
Problem 3 Find the solutions to the general cubic a x^3 +b x^2+c x +d=0 and the solutions to the general quartic a x^4+b x^3+c x^2+d x+e=0. Remember to put a space between your letters. The solutions to the general quartic goes on for two pages it is a good idea to maximize your page to see it. It is a theorem in modern abstract algebra that there is no solution to the general quintic in terms of radicals.
Complex Variable Evaluate the following integrals: a) int_c (z^2/((z-3i)^2)) dz; c=lzl=5 b) int_c (1/((z^3)(z-4))) dz ;...
Complex Variable Evaluate the following integrals: a) int_c (z^2/((z-3i)^2)) dz; c=lzl=5 b) int_c (1/((z^3)(z-4))) dz ; c= lzl =1 c) int_c (2(z^2)-z+1)/(((z-1)^2)(z+1)) dz ; c= lzl=3 (Details Please)
For a standard normal distribution, find 1. P(z > c)=0.3796 Find c. 2. P(z < c)=0.0257...
For a standard normal distribution, find 1. P(z > c)=0.3796 Find c. 2. P(z < c)=0.0257 Find c. 3. P(-2.68< z > -0.38) 4. P(z > -1.55) 5. P(z < -0.32)
Find the value of a : b : c : d, if a : b = 2 : 3, b : c = 4 : 5 and c : d = 6 : 7.
Find the value of a : b : c : d, if a : b = 2 : 3, b : c = 4 : 5 and c : d = 6 : 7.
For the following exercises, find the number of subsets in each given set. {a, b, c, … , z}
For the following exercises, find the number of subsets in each given set.{a, b, c, … , z}
4. a. Suppose Z~Normal(0,1). Find P(1<Z<2). (3pts) b. Suppose X~Normal(-2,1). Find P(X>0 or X<-3). (3pts) c....
4. a. Suppose Z~Normal(0,1). Find P(1<Z<2). (3pts) b. Suppose X~Normal(-2,1). Find P(X>0 or X<-3). (3pts) c. Suppose X~Normal(2,4). The middle 88% of the X values are between what two values? (3pts)
6)Consider the following voting problem: there are 3 alternatives A, B, and C. There are 3...
6)Consider the following voting problem: there are 3 alternatives A, B, and C. There are 3 voters whose preferences are as follows: Voter 1: A > B > C Voter 2: B > C > A Voter 3: C > A > B The voting procedure is as follows: first A competes with B and then the winner competes with C. If voters are strategic what is the voting outcome? Who will each voter vote for in the first stage?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT