Consider the following hypothesis test.Ho: HosoH3: Hg> 0(a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 - Population 2.)PopulationElement2Difference1212012282533181534201926242(b) Compute d.2(c) Compute the standard deviation s1(d) Conduct a hypothesis test using a = 0.05.Calculate the test statistic. (Round your answer to three decimal places.)2.24Calculate the p-value. (Round your answer to four decimal places.)p-value = -1.24What is your conclusion?O Reject Ho. There is sufficient evidence to conclude that u,> 0.O Do not reject Ho. There is insufficient evidence to conclude that u, > 0.O Reject H,. There is insufficient evidence to conclude that u,> 0.O Do not Reject H. There is sufficient evidence to conclude that u, > 0.

Null Hypothesis: A hypothesis which is tested for plausible rejection is called the Null Hypothesis…

Answered: Consider the following hypothesis test.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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We have provided a sample mean, sample size, and population standard deviation. In each case, use the one-mean z-test to perform the required hypothesis test at the 5% significance level. x = 20, n = 24, σ = 4, H0: μ = 22, Ha: μ ≠ 22
You may need to use the appropriate appendix table or technology to answer this questlon. Consider the following data for two independent random samples taken from two normal populations. Sample 1 11 8. 14 8. 10 6. Sample 2 7. 6. 7. 5. 8. (a) Compute the two sample means. (b) Compute the two sample standard deviations. (c) What is the point estimate of the difference between the two population means? (d) What is the 90% confidence interval estimate of the difference between the two population means? 3.
Given two independent random samples with the following results: ₁ = 16 n₁ = 8 ₁ = 98 ₁ = 70 s₁ = 15 5 = 19 Use this data to find the 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 3 of 3: Construct the 90% confidence interval. Round your answers to the nearest integer. Copy Data
Given two independent random samples with the following results: n₁ = 16 n₂ = 8 x₁ = 94 X2: $₁ = 16 = 124 $2 = 28 Use this data to find the 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 2 of 3: Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.
The following data represents the number of insects counted in two different locations (A and B). Construct a 80% confidence interval for o²/02B. (round to the nearest tenth): DATA: Observation 1 2 3 4 5 6 7 8 9 LOCATION A 45 45 32 46 45 44 43 49 48 LOCATION B 49 41 49 42 48 42 49 47 1. In the answer box enter the upper confidence interval. 2. Evaluate the confidence interval and indicate if the variances are (yes) or are not (no) homogeneous (yes/no; place your answer right beside the upper confidence interval. Do not leave a space between the two answers).
Given two dependent random samples with the following results: Population 1 48 29 32 29 38 31 28 Population 2 45 38 41 16 40 28 38 Use this data to find the 95% confidence interval for the true difference between the population means. Assume that both populations are normally distributed. Copy Data Step 2 of 4 : Calculate the sample standard deviation of the paired differences. Round your answer to six decimal places.
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: ?d ≤ 0 Ha: ?d > 0 (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 − Population 2.) Element Population Difference 1 2 1 21 19 2 28 28 3 18 17 4 20 18 5 26 26 (b) Compute d. (c) Compute the standard deviation sd. (d) Conduct a hypothesis test using ? = 0.05. Calculate the test statistic. (Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? Reject H0. There is insufficient evidence to conclude that ?d > 0. Reject H0. There is sufficient evidence to conclude that ?d > 0. Do not Reject H0. There is sufficient evidence to conclude that ?d > 0. Do not reject H0. There is insufficient evidence to conclude that ?d >…
With the information provided, determine which hypothesis test is required, and per- form it as asked. A frequency table for two categorical variables X and Y, each with two levels, a = 0.05 significance level? given below. Is there evidence of a relationship between them at the X1 X2 Y1 101 81 Y2 35 52 (a) What are Ho and HA? (b) What is the relevant test statistic and its sampling distribution under the null hypothesis? (c) Calculate the test statistic and provide the value. Show working. (d) Using your preferred method (RoR, p-value, CI) make a determination about the hypothesis test.
Given two independent random samples with the following results: n₂ = 8 x₂ = 175 $2 = 11 n₁ = 12 x₁ = = 157 $₁ = 32 Use this data to find the 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.
Given two dependent random samples with the following results: Population 1 43 32 39 39 44 47 37 Population 2 34 19 36 29 46 35 41 Use this data to find the 90% confidence interval for the true difference between the population means. Let d = (Population 1 entry)-(Population 2 entry). Assume that both populations are normally distributed. Copy Data Step 3 of 4: Find the standard deviation of the paired differences to be used in constructing the confidence interval. Round your answer to one decimal place.
Given two dependent random samples with the following results: Population 1 46 37 39 26 31 27 22 Population 2 42 44 37 22 45 25 31 Use this data to find the 95%95% confidence interval for the true difference between the population means. Assume that both populations are normally distributed. Copy Data Step 3 of 4 : Calculate the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.

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