Given the following null and alternative hypotheses: H0 : µ1 - µ2 = 0 HA : µ1 - µ2 ≠ 0 Two independent simple random samples were selected from the two normally distributed populations yielded the following information: Sample 1 Sample 2 n1 = 30 n2 = 40 x1 = 150 x2 = 145 Assume that the population standard deviations are known to be σ1 = 10 and σ2 = 15 and α = 0.01. a. Using the test statistic approach, what conclusion should be reached about the null hypothesis? b- b. Using the p-value approach, what decision should be reached about the null hypothesis?

Given the following null and alternative hypotheses: H0 : µ1 - µ2 = 0 HA : µ1 - µ2 ≠ 0 Two independent simple random samples were selected from the two normally distributed populations yielded the following information: Sample 1 Sample 2 n1 = 30 n2 = 40 x1 = 150 x2 = 145 Assume that the population standard deviations are known to be σ1 = 10 and σ2 = 15 and α = 0.01. a. Using the test statistic approach, what conclusion should be reached about the null hypothesis? b- b. Using the p-value approach, what decision should be reached about the null hypothesis?

Name: 1-Given the following null and alternative hypotheses:H0 : µ1 - µ2 = 0
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: 1-Given the following null and alternative hypotheses:H0 : µ1 - µ2 = 0HA : µ1 - µ2 ≠ 0Two independent simple random samples were selected from the two normally distributedpopulations yielded the following information:Sample 1 Sample 2n1 = 30 n2 = 40x

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

See similar textbooks

Similar questions

1: Two random samples taken from two normal populations yielded the following information: Sample size n1 = 9 n2 = 31 Sample variance s} = 45 s = 30 Sample 1 %3D i. Find the test statistic F Find the degrees of freedom dfl and df2. Perform the test the hypotheses Ho: of = ož vs. H1: o} # ož at the 5% level of significance. ii. iii.
Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or ttable) HO: μ1 HA: M1 μ₂ = 0 M2 < 0 X1 = 242 S1 = 25 n1 = 8 X2 = 269 S2 19 n2 = 8 Test statistic = a-1. Calculate the value of the test statistic under the assumption that the population variances are equal. (Negative value should be indicated by a minus sign. Round final answer to 3 decimal places.)
1: Two random samples taken from two normal populations yielded the following information: Sample size nį = 9 Sample variance s? = 45 s를 %3D 30 Sample 1 n2 = 31 Perform the test the hypotheses Ho: of = ož vs. Hz: o} + ož at the 5% level of significance.
Given two independent random samples with the following results: n1=10x‾1=89s1=19�1=10�‾1=89�1=19 n2=17x‾2=128s2=28�2=17�‾2=128�2=28 Use this data to find the 90%90% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed. Copy Data Step 1 of 3 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Two random samples taken from two normal populations yielded the following information: Sample Sample size Sample variance si = 15 s = 42 1 n1 = 8 n2 = 20 i. Find the test statistic F ii. Find the degrees of freedom dfl and df2. Perform the test the hypotheses H,: of = ož vs. H,: of # ož at the 5% level of significance. iii.
1: Two random samples taken from two normal populations yielded the following information: Sample Sample size Sample variance 1 n, = 9 si = 45 s을 3D 30 n2 = 31 i. Find the test statistic F ii. Find the degrees of freedom dfl and df2. Perform the test the hypotheses Ho:o = 03 vs. H,: of # 03 at the 5% level of significance. iii.
Given two independent random samples with the following results: n1=13x‾1=149s1=27n1=13x‾1=149s1=27 n2=13x‾2=167s2=15n2=13x‾2=167s2=15 Use this data to find the 90%90% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed. Step 1 of 3 : Find the point estimate that should be used in constructing the confidence interval.
A sample of 40 observations is selected from one population with a population standard deviation of 5. The sample mean is 102. A sample of 50 observations is selected from a second population with a population standard deviation of 6. The sample mean is 99. Conduct the following test of hypothesis using the 0.04 significance level. H0 : μ1 = μ2 H1 : μ1 ≠ μ2 Is this a one-tailed or a two-tailed test? multiple choice 1 One-tailed test Two-tailed test Correct State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)(on what interval)
Consider the following competing hypotheses and accompanying sample data drawn independently from normally distributed populations. (You may find it useful to reference the appropriate table: z table or ttable) Ho: H1 H2 = 0 НА: М1 - М2 ≠ 0 X1 = 65 01 = 14.10 n1 = 19 x2 = 74 02 = 1.57 n2 = 19 a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to 2 decimal places.) Test statistic
Given two independent random samples with the following results: n1=12x‾1=108s1=20n1=12x‾1=108s1=20 n2=6x‾2=131s2=26n2=6x‾2=131s2=26 Use this data to find the 95%95% confidence interval for the true difference between the population means. Assume that the population variances are not equal and that the two populations are normally distributed. Copy Data Step 1 of 3: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places. Step 2 of 3: Find the standard error of the sampling distribution to be used in constructing the confidence interval. Round your answer to the nearest whole number. Step 3 of 3: Construct the 95%95% confidence interval. Round your answers to the nearest whole number.
The null and alternate hypotheses are: H0: μ1 = μ2 H1: μ1 ≠ μ2 A random sample of 10 observations from one population revealed a sample mean of 23 and a sample standard deviation of 4. A random sample of 8 observations from another population revealed a sample mean of 26 and a sample standard deviation of 5. At the .05 significance level, is there a difference between the population means? (a) state the decision rule, (b) compute the pooled estimate of the population variance, (c) compute the test statistic, (d) state your decision about the null hypothesis, and (e) estimate the p-value.
Five samples of a ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were applied, with the accompanying results. Assuming that the populations are normal, test at the 0.05 level of significance whether the two methods of analysis give, on the average, the same result. Determine the test statistic t=?