P - value is less than significance level of 0.05 so we Reject Ho.
Option B is correct.
You are conducting a two independent samples t-test of the population means with a two-sided Hawith...
From two normal population assumed to have the same variance, independent random samples of sizes 15 and 19 were drawn. The first sample (n1=15) yielded mean and standard deviation 111.6 and 9.5 respectively, while the second sample (n2=19) gave mean and standard deviation 100.9 and 11.5 respectively. Suppose Ho: mu1 = mu2 Ha: mu1 > mu2 (alpha level = 0.05) (i) Write the rule for rejecting Ho in terms of T-scores. (ii) Compute the T statistic, a p-value for the...
From two normal population assumed to have the same variance, independent random samples of sizes 15 and 19 were drawn. The first sample (n1=15) yielded mean and standard deviation 111.6 and 9.5 respectively, while the second sample (n2=19) gave mean and standard deviation 100.9 and 11.5 respectively. Suppose Ho: mu1 = mu2 Ha: mu1 > mu2 (alpha level = 0.05) (i) Write the rule for rejecting Ho in terms of T-scores. (ii) Compute the T statistic, a p-value for the...
Summary statistics are given for independent simple random samples from two populations. Use the pooled t-tes conduct the required hypothesis test. 8) x1 = 13, 51 =5, n1 = 10, x2 = 21, 52 = 4, n2 = 14 Perform a left-tailed hypothesis test using a significance level of a = 0.05. A) Test statistic t = -1.526526 B) Test statistic t -4.355 Critical value-1.717 Critical value=-2.074 0.05 <P<0.10 P<0.005 Do not reject Ho Reject Ho C) Test statistic t...
QUESTION 11 You run an independent samples t-test between two groups, and find a t-statistic of t=1.67. Is this sufficient to reject the null hypothesis? Assume α=0.05 and a one-sided test. Yes, > 1.67 is sufficient to reject the null. No, > 1.67 is not sufficient to reject the null. Not enough information. 2 points QUESTION 12 In a dependent samples t-test, the sample sizes must be equal. True False 2 points QUESTION 13 In an independent samples...
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 = 0.05, when should you reject H0? n1 = 35 n2 = 42 x̅1 = 29.05 x̅2 = 31.6 s1 = 2.9 s2 = 2.8 Suppose you want to test the claim that u1<p2. Two samples are randomly selected from each population. The sample statistics are given...
- Homework Consider the following hypothesis test. 。1 The following results are for two independent samples taken from the two populations. Sample 1 Sample2 n1=30 n2=60 a. What is the value of the test statistic (round to 2 decimals)? b. What is the p-value (round to 4 decimals)? Use z-value rounded to 2 decimal places. 0.05, what is your hypothesis testing conclusion? c. with a Select your answer - greater than or equal to 0.05, reject greater than 0.05, do...
1) Consider two independent random samples of sizes n1 = 14 and n2 = 14, taken from two normally distributed populations. The sample standard deviations are calculated to be s1= 1.98 and s2 = 5.71, and the sample means are x¯1=-10.2and x¯2=-2.34, respectively. Using this information, test the null hypothesis H0:μ1=μ2against the one-sided alternative HA:μ1<μ2, using Welch's 2-sample t Procedure for independent samples. a) Calculate the value for the t test statistic. Round your response to at least 2 decimal...
If the test statistic is 2.29 for a two-sided t-test for the difference in two means for which n1 = 13, n2 = 17, s1 = 7, and s2 = 5, what's the p-value?
Given two independent random samples with the following results: Given two independent random samples with the following results: ni = 586 n2 = 404 x = 161 X2 = 68 Can it be concluded that there is a difference between the two population proportions? Use a significance level of a= 0.05 for the test. Copy Data Step 1 of 6: State the null and alternative hypotheses for the test. Answer 2 Points Keypad Ho: P1 HAPI P2 - P2 Step...
12 marks Let independent random samples of sizes n and n2 be taken respectively from two normal distributions with unknown means 1 and 2 and unknown variances oand o. Denote the two samples by . . ,Jn, and y,... , yn2: Which have means T and T, and sample variances s and s2, respectively (a) 4 marks Show that when of = o2, the likelihood ratio test statistic for testing Ho 12 against H 2 can be written as T2...