Ans | Excel Formula |
0.4013 | =1-NORM.DIST(156.5,75+80,SQRT((288/16)+(162/9)),TRUE) |
15. Multiple Choice Question Consider two independent normal populations. A random sample of size n =...
3. Multiple Choice Question Consider two independent normal populations. A random sample of size ni = 16 is selected from the first normal population with mean 75 and variance 288. A second random sample of size 12 = 9 is selected from the second normal population with mean 80 and variance 162. Assume that the random samples are independent. Let X1 and X2 be the respective sample means. Find the probability that X1 + X2 is larger than 156.5. A....
A random sample of size n1 = 16 is selected from a normal population with a mean of 75 and variance of 288. A second random sample of size n2 = 9 is taken independently from another normal population with mean 80 and variance of 162. Let X^1 and X^2 be the two-sample means. Find the probability that X^1 + X^2 is less than 158. Select one: a. 0.7385 b. 0.3085 c. 0.6915 d. 0.4235
Consider this experiment: A random sample of size n1 = 16 is selected from a normal population with a mean of 75 and a standard deviation of 8. A second random sample of size n2 = 9 is taken from another normal population with an unknown mean and a standard deviation of 12. Assume the two samples are independent. Let x̄1 and x̄2 be the sample means. In each run of the experiment, you compare the two sample means by taking...
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 _____________
If independent random samples of size n1 = n2 = 8 come from normal populations having the same variance, what is the probability that either sample variance will be at least 7 times as large as the other?
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
Two independent random samples are taken from a normal population with mean 40 and variance 16. The sample sizes are 5 and 20, and the corresponding sample means are denoted X1 and X2. Determine 1. EX1 - X2) 2. Var (X1 - X2)
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.
you select two independent random samples from populations with means u1 and u2. suppose the sample mean for population 1 is 25 and σ1=3 and the sample mean for population is 20 and σ2=4. the 95% confidence interval for u1-u2 is (4.02,5.98). what common sample size, n, was used to obtain this interval?
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 =