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Two independent random samples are taken from a normal population with mean 40 and variance 16....
A random sample of n1=16 is selected from a normal population with a mean of 74 and a standard deviation of 7. A second random sample of size n2=8 is taken from another normal population with mean 69 and standard deviation 14. Let X1 and X2 be the two sample means. Find: (a) the probability that X1-X2 exceeds 4. (b) the probability that 4.0 = X1-X2 = 5.1.
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....
Consider the following results for independent random samples taken from two populations. Sample 1 Sample 2 n1= 20 n2 = 40 x1= 22.1 x2= 20.6 s1= 2.9 s2 = 4.3 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)? c. At 95% confidence, what is the margin of error (to 1 decimal)? d. What is the 95% confidence interval...
The following results are for independent random samples taken from two populations. Sample 1 Sample 2 n1 = 20 n2 = 30 x1 = 22.9 x2 = 20.1 s1 = 2.6 s2 = 4.8 (c) At 95% confidence, what is the margin of error? (Round your answer to one decimal place.) ? (d) What is the 95% confidence interval for the difference between the two population means? (Use x1 − x2. Round your answers to one decimal place.) ? 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...
Check My Work Video Consider the following results for two independent random samples taken from two populations Sample 1 Sample 2 1 40 X1 13. X2 - 11.6 01 = 2.3 a. What is the point estimate of the difference between the two population means? (to 1 decimal) n2=30 02-3.1 1.5 b, provide a 90% confidence interval for the difference between the two population means (to 2 decimals. Use z-table. 89 c, provide a 95% confidence interval for the difference...
The information below is based on independent random samples taken from two normally distributed populations having equal variances. Based on the sample information, determine the 90% confidence interval estimate for the difference between the two population means. n1 = 17 x1 44 n2 13 x2 = 49 The 90% confidence interval is s(uI-12) (Round to two decimal places as needed.) «D
15. Multiple Choice Question Consider two independent normal populations. A random sample of size n = 16 is selected from the first normal population with mean 75 and variance 288. A second random sample of size m - 9 is selected from the second normal population with mean 80 and variance 162. Assume that the random samples are independent. Let X, and X, be the respective sample means. Find the probability that X1 + X, is larger than 156.5. A....
The information below is based on independent random samples taken from two normally distributed populations having equal variances. Based on the sample information, determine the 98% confidence interval estimate for the difference between the two population means. n = 12 X1 = 57 S1 = 9 n2 = 11 X2 = 54 S2 = 8 The 98% confidence interval is $(11-12) (Round to two decimal places as needed.)