Given a random sample size of 10 from a normal distribution, find k such that: P(k < T < 4.781) = 0.002
a.3.690
b.8.610
c.3.497
d.3.581
Given a random sample size of 10 from a normal distribution, find k such that: P(k...
you are given For a random sample of size 13 from a normal distribution with mean the following regarding the observations: 3 (xi – ī)2 = 77.8 The width of the 100k% confidence interval for u is 2.7005. Let to be the critical value of a t random variable with v degrees of freedom. The following table lists values of ta, for specific combinations of a and v: v = 12 v = 13 a=0.1 1.356 1.350 a= 0.07 1...
Let Xi,, Xn be a random sample of size n from the normal distribution with mean parameter 0 and variance σ2-3. (a) Justify thatX X, has a normal distribution with mean parameter 0 and variance 3 /n, this is, X~N(0,3/m) (you can do it formally using m.g.f. or use results from normal distribution to justify (b) Find the 0.975 quantile of a standard normal distribution (you can use a table, software or internet to find the quantile). (c) Find the...
11. For a random sample of size 13 from a normal distribution with mean u, you are given the following regarding the observations: (ti – 1)2 = 77.8 The width of the 100% confidence interval for u is 2.7005. Let tay be the critical value of a t random variable with v degrees of freedom. The following table lists values of tay for specific combinations of a and v: v = 12 v=13 a=0.1 1.356 1.350 a= 0.07 1.580 1.572...
A random sample of size 16 from a normal distribution with mu=3 produced a sample mean of 4.5. a. Is the x distrobution normal? explain b. compute the sample test statistic z under the null hypothesis Ho: mu =6.3 c. For H1: mu <6.3, estimate the P-value of the test statistic d. For a level of significance of 0.01 and the hypothesis of parts (b) and (c), do you reject or fail to reject the null hypothesis? explain.
1. Let Xi l be a random sample from a normal distribution with mean μ 50 and variance σ2 16. Find P (49 < Xs <51) and P (49< X <51) 2. Let Y = X1 + X2 + 15 be the sun! of a random sample of size 15 from the population whose + probability density function is given by 0 otherwise 1. Let Xi l be a random sample from a normal distribution with mean μ 50 and...
A) B) Given a random sample size n=1600 from a binomial probability distribution with P=0.40 do the following... Find the probability that the percentage of successes is between 0.37 and 0.44. The probability is O A. 0.0095 O B. 0.9701 O C. 0.9021 O D. None of these answers are correct. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: You are the webmaster for your firm's website. From your records, you know that the probability that a visitor will...
Given a standard normal distribution, find the value of k such that (a) P(Z > k) = 0.3050; (b) P(Z <k) = 0.0367 (c) P(-0.96 <Z <k) = 0.7221 Click here to view page 1 of the standard normal distribution table Click here to view page 2 of the standard normal distribution table (a) k= (Round to two decimal places as needed.) (b) k = (Round to two decimal places as needed.) (c) k= (Round to two decimal places as...
10. Based on a random sample of size 7 from a normal distribution with mean y, a confidence interval is constructed for y. The sample standard deviation is calculated as 5.4763. Let to be the critical value of a t random variable with v degrees of freedom. The following table lists values of ta for specific combinations of a and v: v=6 v = 7 a=0.1 a = 0.05 a= 0.025 1.440 1.943 2 .447 1.4151.8952.365 If we want to...
10. Based on a random sample of size 7 from a normal distribution with mean u, a confidence interval is constructed for y. The sample standard deviation is calculated as 5.4763. Let tay be the critical value of a t random variable with v degrees of freedom. The following table lists values of ta, for specific combinations of a and v: a=0.1 1.440 1.415 a= 0.05 1.943 v=6 v=7 a= 0.025 2 .447 2.365 1.895 If we want to be...
Given a normal distribution with μ = 27 and σ = 25. If a random sample of size n = 72 is drawn, find P(27 ≤ x ≤ 29). Round to three decimal places.