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 =
Two random samples are selected from two independent populations. A summary of the samples sizes, sample...
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.
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...
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)
Two samples are taken with the following sample means, sizes, and standard deviations ¯x1 = 32 ¯x2 = 35 n1 = 68 n2= 56 s1 = 3 s2= 4 Estimate the difference in population means using a 96% confidence level. Use a calculator, and do NOT pool the sample variances. Round answers to the nearest hundredth. < μ1−μ2 <
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 ??-?2):0 against Ha : (??-?2)#0 using ?:010. b. Find and interpret the 90% confidence interval for ( 1- 2)- Sample 1 Sample 2 n1 18 n2 13 x1-5.2 x27.7 s1 3.7 s2 4.3 a. Find the test statistic. The test statistic is (Round to two decimal places as needed.)
Two samples are taken with the following sample means, sizes, and standard deviations¯x1x¯1 = 33 ¯x2x¯2 = 26n1n1 = 55 n2n2 = 52s1s1 = 3 s2s2 = 4Find a 97% confidence interval, round answers to the nearest hundredth.___ < μ1−μ2μ1-μ2 < ___
Two samples are taken with the following sample means, sizes, and standard deviations ¯ x1 x¯1 = 31 ¯ x2 x¯2 = 28 n1 n1 = 70 n2 n2 = 46 s1 s1 = 4 s2 s2 = 2 We want to estimate the difference in population means using a 89% confidence level. What distribution does this require? t, df = 108 z NOTE: The more accurate df formula, used above, is: df= ( s 2 1 n1 + s...
Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population 1 2 Sample Size 39 44 Sample Mean 9.3 7.3 Sample Variance 8.5 14.82 Construct a 90% confidence interval for the difference in the population means. (Use μ1 − μ2. Round your answers to two decimal places.) __________ to ____________ Construct a 99% confidence interval for the difference in the population means. (Round your answers to two decimal places.) __________ to _____________
The following information was obtained from two indepen- dent samples selected from two normally distributed populations with unknown but equal standard deviations. n1 =21 x ̄=13.97 s1 =3.78 n2 =20 y ̄=15.55 s2 =3.26 Construct a 95% confidence interval for μ1 − μ2.