Find the standardized test statistic to test the claim that μ1 ≠ μ2. Assume the two samples are random and independent. Population statistics: σ1 = 0.76 and σ2 = 0.51 Sample statistics: x1 = 3.6, n1 = 51 and x2 = 4, n2 = 38
Solution:
The standardized test statistic is
z =
= (3.6 - 4)/[(0.76
2/51) + (0.512/38)]
= -2.9674
Answer :
The standardized test statistic is = -2.9674 = -2.967 = -2.97
Find the standardized test statistic to test the claim that μ1 ≠ μ2. Assume the two...
Find the standardized test statistic to test the claim that μ1 ≠ μ2. Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that σ 2 /1 ≠ σ 2 /2 . n1 = 11 n2 = 18 x1 = 6.9 x2 = 7.3 s1 = 0.76 s2 = 0.51
Find the standardized test statistic to test the claim that μ1 < μ2. Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that σ 2 /1 = σ 2 /2 . n1 = 15 n2 = 13 x1 = 27.88 x2 = 30.43 s1 = 2.9 s2 = 2.8
Find the standardized test statistic, t, to test the claim that μ1 < μ2. Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that two populations' variance is the same (σ21= σ22). n1 = 15 n2 = 15 x1 = 25.76 x2 = 28.31 s1 = 2.9 s2 = 2.8
Suppose you want to test the claim that μ1 ≠ μ2. Assume the two samples are random and independent. At a level of significance of α = 0.05, when should you reject H0? Population statistics: σ1 = 1.5 and σ2 = 1.9 Sample statistics: x1 = 30, n1 = 50 and x2 = 28, n2 = 60 A. Reject H0 if the standardized test statistic is less than -1.645 or greater than 1.645. B. Reject H0 if the standardized test...
Two samples are random and independent. Find the P-value used to test the claim that μ1 = μ2. Use α = 0.05. Population statistics: σ1 = 2.5 and σ2 = 2.8 Sample statistics: x1 = 12, n1 = 40 and x2 = 13, n2 = 35 A. 0.0526 B. 0.1052 C. 0.1138 D. 0.4020
Find the critical value to test the claim that μ1 < μ2. Two samples are random, independent, and come from populations that are normal. The sample statistics are given below. Assume that σ 2/1= σ2/2. Use α = 0.05. n1 = 15 n2 = 15 x1 = 25.74 x2 = 28.29 s1 = 2.9 s2 = 2.8
Find the critical values, t0, to test the claim that μ1 = μ2. Two samples are random, independent, and come from populations that are normal. The sample statistics are given below. Assume that σ 2 1 ≠ σ 2 2 . Use α = 0.05. n1 = 32 n2 = 30 x1 = 16 x2 = 14 s1 = 1.5 s2 = 1.9
22) Suppose you want to test the claim that μ1 > μ2. Two samples are randomly selected from each population. The sample statistics are given below. At a level of significance of α = 0.10, find the test statistic and determine whether or not to reject H0. (8.1) n1 = 35 n2 = 42 x1 = 33 x2 = 31 s1 = 2.9 s2 = 2.8 A) z = 3.06; Reject H0 and support the claim that μ1 > μ2...
Consider the following hypothesis test. H0: μ1 − μ2 = 0 Ha: μ1 − μ2 ≠ 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 80 n2 = 70 x1 = 104 x2 = 106 σ1 = 8.4 σ2 = 7.2 (a) What is the value of the test statistic? (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.)...
Use the given information to answer parts (a) through (d). H 0 : μ1=μ2, alpha 0.05 Sample statistics: x1= 34.4, s1=3.5, n1=13 x2=36.2, s2=2.8, n2=11 Assume σ2/1= σ2/2 t0= -2.074, t0=2.074 test statistic =−1.8 (b) Find the standardized test statistic? (c) Decide whether the standardized test statistic is in the rejection region