Suppose that we are testing H 0 : μ 1 = μ 2 versus H 0...
Suppose that we are testing H 0 : μ 1 = μ 2 versus H 0 : μ 1 > μ 2 where the two sample sizes are n 1 = n 2 = 10 . Both sample variances are unknown but assumed equal. Find bounds on the P-value for the following observed values of the test statistic.
- t0=2.31
- t0=3.60
- t0=1.95
- t0=2.19
Please do it by hand and show tables if they are used. Be detailed
Homework Answers
Please solve 2.7, 2.8 and 2.9 problems. 2.7. Suppose that we are testing Ho : μ1...
Please solve 2.7, 2.8 and 2.9 problems.
2.7. Suppose that we are testing Ho : μ1 Ha versus Ho: > μ2 where the two sample sizes are ni n, 10. Both sample variances are unknown but assumed equal. Find bounds on the P-value for the following observed values of the test statistic. (a) to= 2.31 (b) toー3.60 (c) to-1.95 (d) 0-219 2.8. Consider the following sample data: 9.37, 13.04, 11.69, 8.21, 11.18, 10.41, 13.15, 11.51, 13.21, and 7.75. Is it...
2.11. Suppose that we are testing Ho: μ-μ0 versus H: >o with a sample size of...
2.11. Suppose that we are testing Ho: μ-μ0 versus H: >o with a sample size of n 15. Calculate bounds on the P-value for the following observed values of the test statistic: (a) to 2.35 (b)o 3.55 (c) 2.00 (d) to 1.55
1. Suppose that we are testing Hor = po versus H : > Ho with a...
1. Suppose that we are testing Hor = po versus H : > Ho with a sample size of n = 15. Calculate bounds on the P-value for the following observed values of the test statistic: (a) to = 2.35 (b) to = 3.55 (c) to = 1.55
Suppose that we are testing the null hypothesis that μ = 68 versus the alternative that...
Suppose that we are testing the null hypothesis that μ = 68 versus the alternative that μ < 68. We take a sample of size 36 and find a sample average of = 63.4 and a sample standard deviation of s = 12.6. Determine the value of the test statistic for the hypothesis test of one population mean. t = -2.19 t = -0.37 t = 0.37 t = 2.19
Testing: H 0 : μ = 52 H 1 : μ ≠ 52 Your sample consists...
Testing: H 0 : μ = 52 H 1 : μ ≠ 52 Your sample consists of 45 subjects, with a mean of 53.8 and standard deviation of 17.3. Calculate the test statistic, rounded to 2 decimal places.
Testing: H 0 : μ = 16.9 H 1 : μ < 16.9 Your sample consists...
Testing: H 0 : μ = 16.9 H 1 : μ < 16.9 Your sample consists of 48 subjects, with a mean of 16.3 and standard deviation of 2.22. Calculate the test statistic, rounded to 2 decimal places.
1) The one-sample t-statistic for testing H0: μ = 0 Ha: μ > 0 from a...
1) The one-sample t-statistic for testing H0: μ = 0 Ha: μ > 0 from a sample of n=20 is t=1.84 a. What are the degrees of freedom for this statistic? b. What are the two critical values of t* that bracket t= 1.84 from the t-table? c. Is the value t=1.84 significant at both the 5% and 1% level?
A test is made of Ho: μ-20 versus H 1 : μ * 20. A sample...
A test is made of Ho: μ-20 versus H 1 : μ * 20. A sample of size n-58 is drawn, and x-1 The population standard deviation isa . Part 4 out of 4 Sub Determine whether to reject Ho. Since the test statistic (select) in the critical region, we (select) α-0.05 level. Tim - Ho at the Since the test statistic (select) in the critical region, we (select) α 0.01 level. -Ho at the
Question 21 In testing Ho: p1" p,-0 versus Ha: p1" p. 0, the computed value of...
Question 21 In testing Ho: p1" p,-0 versus Ha: p1" p. 0, the computed value of the test statistic is z = 2 25 The P value for this two-tailed test is then Not yet answered Points out of 6.00 Flag question Question 22 Not yet answered Points out of 4.00 The two-sample t test is applicable in situations in which population distributions are both normal when population variances have unknown values, and at least one of the two sample...
Suppose that X1, X2, . . . , Xn is an iid sample of N (0, σ2 ) observations, where σ 2 > 0 is unknown. Consider testing H0 : σ 2 = σ 2 0 versus H1 : σ 2 6= σ 2 0
Suppose that X1, X2, . . . , Xn is an iid sample of N (0, σ2
) observations, where σ
2 > 0 is
unknown. Consider testing
H0 : σ
2 = σ
2
0 versus H1 : σ
2
6= σ
2
0
;
where σ
2
0
is known.
(a) Derive a size α likelihood ratio test of H0 versus H1. Your rejection region should
be written in terms of a sufficient statistic.
(b) When the null...
Please solve 2.7, 2.8 and 2.9 problems.
2.7. Suppose that we are testing Ho : μ1 Ha versus Ho: > μ2 where the two sample sizes are ni n, 10. Both sample variances are unknown but assumed equal. Find bounds on the P-value for the following observed values of the test statistic. (a) to= 2.31 (b) toー3.60 (c) to-1.95 (d) 0-219 2.8. Consider the following sample data: 9.37, 13.04, 11.69, 8.21, 11.18, 10.41, 13.15, 11.51, 13.21, and 7.75. Is it...
2.11. Suppose that we are testing Ho: μ-μ0 versus H: >o with a sample size of n 15. Calculate bounds on the P-value for the following observed values of the test statistic: (a) to 2.35 (b)o 3.55 (c) 2.00 (d) to 1.55
1. Suppose that we are testing Hor = po versus H : > Ho with a sample size of n = 15. Calculate bounds on the P-value for the following observed values of the test statistic: (a) to = 2.35 (b) to = 3.55 (c) to = 1.55
A test is made of Ho: μ-20 versus H 1 : μ * 20. A sample of size n-58 is drawn, and x-1 The population standard deviation isa . Part 4 out of 4 Sub Determine whether to reject Ho. Since the test statistic (select) in the critical region, we (select) α-0.05 level. Tim - Ho at the Since the test statistic (select) in the critical region, we (select) α 0.01 level. -Ho at the
Question 21 In testing Ho: p1" p,-0 versus Ha: p1" p. 0, the computed value of the test statistic is z = 2 25 The P value for this two-tailed test is then Not yet answered Points out of 6.00 Flag question Question 22 Not yet answered Points out of 4.00 The two-sample t test is applicable in situations in which population distributions are both normal when population variances have unknown values, and at least one of the two sample...
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