Question 5 Consider two normal populations N(H) and N(u2, 1). Let X, and 12 be the sample means of random samples from these two populations, respectively 1) (1 point) Find a pivotal quantity for Δ-μ...
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?
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 selected from two normal populations produced the sample means and standard dev atons shown to the right. a. Assuming equal variances, conduct the test Ho: (μι-μ2)-U against Ha: μι-μ2) #0 using α .10. b. Find and interpret the 90% confidence interval for(μ1-μ2) Sample 1 Sample 2 x1 59 x2-7.9 13 2-4.8 a. Find the trst statistic. The test statistic is Round to two decimal places as needed.) ind the p vaue. The p-value is Round to three...
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 (H1-H2) = 0 against Hy: (H1-H2) #0 using a = 0.10. b. Find and interpret the 90% confidence interval for (H1-H2) Sample 1 Sample 2 ny - 18 ng - 11 X2 7.8 X = 5.6 Sy = 3.1 82 4.7 a. Find the test statistic, The test statistic is (Round to two...
Consider the following results for two independent random samples taken from two populations. Sample 1 Sample 2 n 1 = 40 n 2 = 35 x 1 = 13.8 x 2 = 11.3 σ 1 = 2.5 σ 2 = 3 What is the point estimate of the difference between the two population means? (to 1 decimal) Provide a 90% confidence interval for the difference between the two population means (to 2 decimals). Use z-table. ( , ) Provide a...
Consider the following data for two independent random samples taken from two normal populations with equal variances. Find the 80% confidence interval for u1 and u2. Sample 1: 7, 4, 10, 10, 6, 11 Sample 2: 13, 16, 10, 9, 13, 14 What is the left endpoint and right endpoint? Please explain in detail.
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.)
In order to compare the means of two populations, independent random samples of 395 observations are selected from each population, with the results found in the table to the right. Complete parts a through e below. Sample 2 x2 = 5,250 2-210 Sample 1 X,5,279 1-140 a. Use a 95% confidence interval to estimate the difference between the population means (μ1-μ2) . Interpret the confidence The confidence interval is Round to one decimal place as needed.) Interpret the confidence interval....
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...
Consider the following results for independent random samples taken from two populations. Sample 1 Sample 2 n 1 20 n 2 40 x2 20.4 1= 22.5 S 2 4.6 s1 2.1 a. What is the point estimate of the difference between the two population means (to 1 decimal)? b. What is the degrees of freedom for the t distribution (round down your answer nearest whole number)? c. At 95% confidence, what the margin of error (to 1 decimal)? d. What...