Let the quantity of the production of a new machine and of the old machine are twopopulation and normally distributed with the variances 1 and 1.4 respectively. Find theconfidence interval estimation of the differences between the means of the two populations.1.X1X242.142.74143.641.343.841.843.342.442.542.843.543.243.142.341.741.84442.744.1Where X1: New machine and X2: Old machine.2. The performance of two populations (Boys and Girls) is normally distributed with knownvariances 5 and 4 respectively. Find the confidence interval estimation of the differences betweenthe means of the two populations.Вoys: 39, 38, 27, 36, 40, 27, 43, 36, 34, 33Girls: 41, 41, 33, 42, 47, 38, 41, 36, 36, 32, 46Assume the variances of above examples are unknown. Find the confidence intervalestimation of the differences between the means of the above populations.3.Remark: Assume the level of significance is 0.5.

Name: Let the quantity of the production of a new machine and of the old ma
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Let the quantity of the production of a new machine and of the old machine are twopopulation and normally distributed with the variances 1 and 1.4 respectively. Find theconfidence interval estimation of the differences between the means of the two p

Since you have asked multiple questions, we will solve the first question for you. If you want any…

Math

Statistics

Let the quantity of the production of a new machine and of the old machine are two population and normally distributed with the variances 1 and 1.4 respectively. Find the confidence interval estimation of the differences between the means of the two populations. 1. X1 X2 42.1 42.7 41 43.6 41.3 43.8 41.8 43.3 42.4 42.5 42.8 43.5 43.2 43.1 42.3 41.7 41.8 44 42.7 44.1

Let the quantity of the production of a new machine and of the old machine are two population and normally distributed with the variances 1 and 1.4 respectively. Find the confidence interval estimation of the differences between the means of the two populations. 1. X1 X2 42.1 42.7 41 43.6 41.3 43.8 41.8 43.3 42.4 42.5 42.8 43.5 43.2 43.1 42.3 41.7 41.8 44 42.7 44.1

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population Sample Size Sample Mean Sample Variance 1 49 10.3 9.64 2 58 8.5 15.42 A 90% confidence interval for ₁-₂ is 0.68 to 2.92 and a 99% confidence interval for ₁-₂ is 0.05 to 3.55. Use these confidence intervals to answer the questions. Can you conclude with 99% confidence that there is a difference in the means for the two populations? Ⓒ Yes. The value #₁ - ₂2=0 is not in the interval which suggests that there is likely a difference between ₁ and 1₂. ₂ = 0 is not in the interval which does not suggest that there is a difference between and H1 #₂. O No. The value μ₁ - O No. The value μ₁ - ₂ = 0 is in the interval which does not suggest that there is a difference between and M₂ 1₂" and H₂ H₂² Yes. The value and H₂ H₂" = 0 is in the interval which suggests that there is likely a difference between M₁ - H₂ Can you conclude with 99% confidence that there is…
Please show complete solution. The correct answer is below
A researcher takes sample temperatures in Fahrenheit of 16 days from San Francisco (Group 1) and 22 days from Atlanta (Group 2). Test the claim that the mean temperature in San Francisco is less than the mean temperature in Atlanta. Use a significance level of a = 0.10. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. Round answers to 4 decimal places. San Francisco 77.4 94.8 77 80.9 84 Ho: M₁ 73.4 84.9 92 60.6 83.6 92.5 76.3 93.4 87.2 81.5 70.4 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols for each of the 6 spaces. Atlanta 85.4 92.8 80.2 87.9 80.6 77.9 72.9 75.9 72.1 76.7 80.4 92.5 75.9 72.1 97.7 89.2 88.1 80 92.2 86 96.2 91.9 p-value H₁: M₁ Based on the hypotheses, find the following: Test Statistic = -0.635 X = 0.2494 × OH₂ The p-value is greater than alpha OF H₂ to alpha. The correct decision is to fail to reject the null hypothesis or The…
Write complete and legibly.
A researcher takes sample temperatures in Fahrenheit of 16 days from Miami and 14 days from Atlanta. Use the sample data shown in the table. Test the claim that the mean temperature in Miami greater than the mean temperature in Atlanta. Use a significance level of α=0.10α=0.10.Assume the populations are approximately normally distributed with unequal variances.Note that list 1 is longer than list 2, so these are 2 independent samples, not matched pairs. Miami Atlanta 68.3 73.6 83.1 69.3 79.1 54.9 72 81.1 72.8 78.6 83.3 54 82.7 36.1 80.7 44.3 87 58.4 83.1 50.8 77.4 60.5 86.1 61.2 76.3 46.8 74.5 54.4 83.3 78.5 The Null Hypotheses is: H0: μ1 - μ2 = 0 What is the alterative hypothesis? Select the correct symbols for each space. (Note this may view better in full screen mode.)HA: μ1 - μ2 Based on these hypotheses, find the following. Round answers to 4 decimal places. Test Statistic = p-value = The p-value is The correct…
A researcher takes sample temperatures in Fahrenheit of 17 days from New York City and 18 days from Phoenix. Test the claim that the mean temperature in New York City is different from the mean temperature in Phoenix. Use a significance level of α=0.05. Assume the populations are approximately normally distributed with unequal variances. You obtain the following two samples of data. New York City Phoenix 99 94.2 95.5 72 93.2 86.8 102 122.1 85.4 114.4 80 94.7 86.4 89.7 75.4 104.7 79.5 77.6 83.4 106.8 64.3 98.6 65.5 91.5 87.7 82 104 97.7 74.3 64.9 59.5 82 82.8 72 116.2 The Hypotheses for this problem are: H0: μ1 = μ2 H1: μ1μ2 Find the p-value. Round answer to 4 decimal places. Make sure you put the 0 in front of the decimal. p-value =
The data in the table are from two normal distributions with the same mean and unequal variances. Treatment 1 21.9 20.2 19.4 20.3 19.6 20.4 18.4 20.1 22.0 18.9 Treatment 2 20.2 13.8 21.8 19.2 19.6 25.5 17.0 17.6 19.5 22.2 Test for differences between the two treatments using the Kolmogorov-Smirnoff test.
Also included in question find estimated variance of errors, estimated variance of slope, and 90% and 95% confidence intervals for slope. Thank you so much
The average score on a statistics test was 2.21 with a standard deviation of 0.88. The teacher suspects that the exam was very difficult; Based on the above, you want to adjust the scores so that the mean is 3.37 and the standard deviation is 0.25. Compute the values a and b such that the fit of type aX+b gives the desired mean and variance? Calculate: a= Answer b= Answer TIP: Use expected value and variance properties.
Independent random samples were selected from each of two normally distributed populations, n1 = 16 from population 1 and n2 = 25 from population 2. The means and variances for the two samples are shown in the following table. Test the null hypothesis that the variances for the two populations are equal. Use a=0.1. Samples Sample Size Mean Standard Deviation Sample 1 16 22.5 2.87 Sample 2 25 28.2 9.85 (1) Critical Values (Round off to 3 decimal places): (2) Test Statistic (Round off to 2 decimal places): 3) Conclusion: (Type 'Reject HO' or 'Fail to Reject HO')
Q1. The following data are from a completely randomized design. Treatment A B C 155 148 128 147 152 126 165 124 138 145 140 140 150 152 140 Sample mean 152.4 143.2 134.4 Sample variance 63.8 139.2 46.8 (A). What is the F test statistics value? (B). Compute the mean squares due to error. (C). At the α = 0.01, test whether the means for the three treatments are equal. Using F table, what is the most possible range of values of the p-value? [Multiple choice with single answer] (a) 0.025<p-value<0.1 (b) 0.01<p-value<0.05 (c) 0.01<p-value<0.025 (d) 0.025<p-value<0.05 (e) 0.05<p-value<0.1 (f) None of the above
A random sample of 16 statistics examinations from a large population was taken. The average score in the sample was 78.6 with a sample variance of 64. We are interested in determining whether the average grade of the population is significantly more than 75. Assume the distribution of the population of grades is normal. The value of the test statistic is 1.80 O b. 3.6 С. 0.45 2.