2. Comparing two population means (known sigmas) Aa Aa Consider a pool of home mortgages. Prepaym...
They are all about one question, total 11 blanks reminder. 2. Comparing two population means (independent samples, sigmas known) Consider a podl of home mortgages. Prepayments of mortgages in the pool affect the mortgages' cash flow, so mortgage lenders, servicers, and investors all have an interest in predicting mortgage prepayments. Mortgages may be prepaid for a variety of purposes, including selling the home, taking cash out of the property to fund home improvements or other consuner expenditures, or refinancing the...
Here are the choices for all the blanks Sample 1 n1= 115 0.55 130 or not provided/unknown u1= 0.55 8.62 8.09 or not provided/unknown M1= 8.09 0.55 8.62 not provided/unknown θ1= 0.55 8.62 not provided/unknown 0.66 s1= not provided/unknown 8.62 0.55 0.66 Sample 2 n2= 115 8.09 130 or not provided/unknown u2= not provided/unknown 0.66 8.09 or 130 M2= 130 8.09 8.62 not provided/unknown θ2= 8.09 130 0.66 or not provided/unknown s2= 8.09 not provided/unknown 0.55 0.66 Attempts: Keep the...
A random sample of 49 measurements from a population with population standard deviation σ1 = 3 had a sample mean of x1 = 8. An independent random sample of 64 measurements from a second population with population standard deviation σ2 = 4 had a sample mean of x2 = 10. Test the claim that the population means are different. Use level of significance 0.01. 1. Compute x1 − x2 and x1 − x2 = 2. Compute the corresponding sample distribution...
Comparing the means of two independent population when the population variances are known and unknownSuppose you conduct a study and intend to use a hypothesis test to compare the means of two independent populations. Your null hypothesis is that the two means are equal. That is, \(\mathrm{H}_{0}: \mu_{1}=\mu_{2}\), or equivalently, \(\mathrm{H}_{0}: \mu_{1}-\mu_{2}=0\). Following is a table of the information you gather. Assume the populations from which your samples are drawn are both normally distributed.Sample SizeSample MeanSample VarianceSample 1n_(1)=41bar(x)_(1)=14.3s_(1)^(2)=67.24Sample 2n_(2)=21bar(x)_(2)=13.6s_(2)^(2)=46.24
x, and S1 are the sample mean and sample variance from a population with mean μ| and variance ơf. Similarly, X2 and S1 are the sample mean and sample variance from a second population with mean μ and variance σ2. Assume that these two populations are independent, and the sample sizes from each population are n,and n2, respectively. (a) Show that X1-X2 is an unbiased estimator of μ1-μ2. (b) Find the standard error of X, -X. How could you estimate...
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 _____________
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...
2. Consider a large population with mean μ and known standard deviation σ = 5. There are two independent simple random samples of this population, one with n 150, and the other with n2 = 400, Denote the two sample means by , and X2, respectively. Let Cli and C12 be the usual 95% confidence intervals, constructed from each of the two samples. What is the probability that at the same time, X E CI2 and X2 E CI? 2....
2. Testing two population means using Excel Aa Aa Consider two independent random variables x and y. The variable x follows a normal distribution with an unknown population mean ux and a unknown standard deviation of ox. The variable y also follows a normal distribution with an unknown population mean py and a unknown standard deviation of oy. Independent random samples are drawn from each population To answer the questions that follow, download an Excel spreadsheet containing observed values of...
Having the worst time trying to answer these three questions below. Assume that σ21=σ22=σ2. Calculate the pooled estimator of σ2 when the first sample gives s21=128 and the second independent sample gives s22= 128, and n1=n2=36. Give your answer to two decimal places , do not round up or down. And .. Two independent random samples have been slected ; 111 observations from population one and 143 observations from population two. From previous experience it is known that the standard...