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Random samples of sizes n1 = 32 and n2 = 40 are to be drawn from two independent populations. μ1 = 12.3 μ2 = 9.8 σ1 = 2.9 σ2 = 2.4 P(Xbar1 - Xbar 2 < 2) P(S12/ S22 > 2)
Please answer all parts, and show complete work.
6. (a) A finite population with N = 450 has a mean u = 112.5 and standard deviation o = 17.3. For samples of size n = 41, answer the following. The variance is for the sampling distribution of the sample mean X. (b) Random samples of sizes n1 = 32 and n2 = 40 are to be drawn from two independent populations. = 12.3 M1 01 = 2.9 M2 = 9.8...
Suppose we have taken independent, random samples of sizes n1 = 7 and n2 = 7 from two normally distributed populations having means μ1 and μ2, and suppose we obtain x1=240, x2=210, s1=5, and s2 = 6 Use critical values and p-values to test the null hypothesis H0: μ1 − μ2 ≤ 20 versus the alternative hypothesis Ha: μ1 − μ2 > 20 by setting α equal to .10. How much evidence is there that the difference between μ1 and...
Independent random samples of n1 = 900 and n2 = 780 observations were selected from binomial populations 1 and 2, and x1 = 336 and x2 = 378 successes were observed. (a) Find a 90% confidence interval for the difference (p1 − p2) in the two population proportions. (Round your answers to three decimal places.) What assumptions must you make for the confidence interval to be valid? (Select all that apply.) 1. independent samples 2. random samples 3. n1 +...
The numbers of successes and the sample sizes are given for independent simple random samples from two populations. Use the two-proportions z-test to conduct the required hypothesis test. Use the critical-value approach. x1 = 24, n1 = 60, x2 = 12, n2 = 40, two-tailed test, α = 0.05
The numbers of successes and the sample sizes are given for independent simple random samples from two populations. Use the two-proportions z-test to conduct the required hypothesis test. Use the critical-value approach. x1 = 24, n1 = 60, x2 = 28, n2 = 40, left-tailed test, α = 0.05
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 =
Suppose two independent random samples of sizes n1 = 9 and n2 = 7 that have been taken from two normally distributed populations having variances σ21σ12 and σ22σ22 give sample variances of s12 = 100 and s22 = 20. (a) Test H0: σ21σ12 = σ22σ22 versus Ha: σ21σ12 ≠≠ σ22σ22 with αα = .05. What do you conclude? (Round your answers to F to the nearest whole number and F.025 to 2 decimal places.) F = F.025 = (Click to select)RejectDo...
If random samples of the given sizes are drawn from populations with the given proportions, find the mean and standard error of the distribution of differences in sample proportions, fi - P2. ni = 210 from P1 = 0.7 and n2 = 240 from p2 = 0.8 Round your answers to three decimal places, if necessary. mean = standard error = i Use the normal distribution to find a confidence interval for a difference in proportions P, – pa given...
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.