Suppose independent random samples drawn from two normal populations, assumed to have equal variance, result in...
Provided below are summary statistics for independent simple random samples from two populations. Use the pooled t-test and the pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. x1= 13, s1= 2.3, n1= 19, x2= 16, s2= 2.4, n2=19 a. What are the correct hypotheses for a left-tailed test? b. Compute the test statistic. c. Determine the P-value. d. The 95% confidence interval is from _____ to _______ ?
Provided below are summary statistics for independent simple random samples from two populations. Use the pooled t-test and the pooled t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval. x1=22, s1=44, n1=20, x2=24, s2=55, n2=16 a. What are the correct hypotheses for a left-tailed test? b. Compute the test statistic. c. Determine the P-value. d. The 90% confidence interval is from _____ to _____ ?
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...
Two random samples are selected from two independent populations. A summary of the samples sizes, sample means, and sample standard deviations is given below: n1= 37 n2=44 x-bar1= 58.6 x-bar2= 73.8 s1=5.4 s2=10.6 Find a 97% confidence interval for the difference μ1−μ2μ1−μ2 of the means, assuming equal population variances.
Two random samples are selected from two independent populations. A summary of the samples sizes, sample means, and sample standard deviations is given below: n1=51, n2=46, x¯1=57.8, x¯2=75.3, s1=5.2 s2=11 Find a 94.5% confidence interval for the difference μ1−μ2μ1−μ2 of the means, assuming equal population variances. Confidence Interval =
Independent random samples selected from two normal populations produced the sample means and standard deviations shown below: Sample 1 Sample 2 x̅1 = 5.4 x̅2 = 8.2 s1 = 5.6 s2 = 8.2 n1 = 20 n2 = 18 Conduct the test H0 : μ1 - μ2 = 0 against H1 : μ1 - μ2 ≠ 0 ,then the test statistic is __________.
Independent random samples were selected from two quantitative populations, with sample sizes, means, and standard deviations given below. n1= 55, n2= 65, xbar1= 35.5, xbar2= 31.4, s1= 5.7, s2= 3.3 1.) Construct a 95% confidence interval for the difference in the population means (mu1- mu2). (Round your answers to two decimal places) 2.) Find a point estimate for the fifference in the population means. 3.) Calculate a margin of error. (Round your answer to two decimal places)
Independent random samples selected from two normal populations produced the sample means and standard deviations shown to the right. a) Assuming equal variances, conduct the test Ho: (u1-u2)=0 against Ha: (u1-u2)=/=0 using a=0.05 b) Find and interpret the 95% confidence interval for (u1-u2) Sample1: n1=17, x1=5.9, s1=3.8 Sample2: n2=10, x1=7.3, s2=4.8
Independent random samples were selected from two quantitative populations, with sample sizes, means, and standard deviations given below. n1 = n2 = 60 x1 = 125.3 x2 = 123.4 s1 = 5.7 s2 = 6.1 a) Construct a 95% confidence interval for the difference in the population means (μ1 − μ2). (Round your answers to two decimal places.) to b) Find a point estimate for the difference in the population means. c) Calculate the margin of error. (Round your answer...