= 3 versusExample: In a two sample test of Ho: ₁-2H₁₁-23, suppose that the data are normal, m = nand o² = 0 = 84.0. Can we choose m such that the testhas level a = 0.01 and 3 = 0.05 at 1₁ - ₂ : 5.0? Thisquestion concerns experimental design.

Solution: From the given information, Null hypothesis: Alternative hypothesis: The data follows…

Answered: Example: In a two sample test of Ho:…

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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You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1≠μ2Ha:μ1≠μ2You believe both populations are normally distributed, but you do not know the standard deviations for either. We will assume that the population variances are not equal. You obtain a sample of size n1=17 with a mean of M1=64.6 and a standard deviation of SD1=11.7 from the first population. You obtain a sample of size n2=17 with a mean of M2=53.2 and a standard deviation of SD2=8.9 from the second population.What is the test statistic for this sample? (Report answer accurate to three decimal places.)
Suppose there is sufficient evidence to reject Ho: ₁ = ₂ = μ3 using a one-way ANOVA. The mean square error from the ANOVA is determined to be 22.8. The sample means are x₁ = 4.6, x₂ = 10.7, and x3 = 19.6, with n₁ = n₂ = n3 = 7. Use Tukey's test to determine which pairwise means are significantly different using a familywise error rate of α=0.01. Click here to view page 1 of the table of critical values for Tukey's Test for an alpha of 0.05. Click here to view page 2 of the table of critical values for Tukey's Test for an alpha of 0.05. Click here to view page 1 of the table of critical values for Tukey's Test for an alpha of 0.01. Click here to view page 2 of the table of critical values for Tukey's Test for an alpha of 0.01. Calculate the test statistic qo for each pairwise difference. 912 913 923 (Round to three decimal places as needed.) The critical value is. (Round to three decimal places as needed.) Based on this data, the hypothesis Ho: #₁ =1₂₂ the hypothesis Ho: #₂ = 13- the…
Are Republicans less likely than Democrats to display the American flag in front of their residence on the Fourth of July? 425 of the 659 Republicans surveyed display the flag on the Fourth of July and 538 of the 784 Democrats surveyed display the flag on the Fourth of July. What can be concluded at the αα = 0.01 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for the difference between two dependent population means z-test for the difference between two population proportions t-test for a population mean t-test for the difference between two independent population means The null and alternative hypotheses would be: H0:H0: Select an answer p1 μ1 Select an answer > = ≠ < Select an answer p2 μ2 (please enter a decimal) H1:H1: Select an answer p1 μ1 Select an answer > ≠ = < Select an answer μ2 p2 (Please enter a decimal) The test statistic ? z t = (please show your answer to 3 decimal…
You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly different from 0.25. You use a significance level of α=0.01α=0.01. H0:p=0.25H0:p=0.25 H1:p≠0.25H1:p≠0.25You obtain a sample of size n=687n=687 in which there are 143 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =
The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day. An article reports the following summary data on intake for a sample of males age 65-74 years: n = 113, x = 12.4, and s = 6.63. Does this data indicate that average daily zinc intake in the population of all males age 65-74 falls below the recommended allowance? (Use a = 0.05.) State the appropriate null and alternative hypotheses. O Ho: H = 15 H: u > 15 O Ho: H = 15 H: u < 15 Ο H: μ15 H:us 15 Ο Η: μ- 15 H: u = 15 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = p-value = State the conclusion in the problem context. O Reject the null hypothesis. There is sufficient evidence that average daily zinc intake falls below 15 mg/day. O Do not reject the null hypothesis. There is sufficient evidence that average daily zinc intake falls below 15 mg/day. O Do not reject the null hypothesis. There…
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You wish to test the following claim (HaHa) at a significance level of α=0.05 Ho:μ1=μ2 Ha:μ1≠μ2You believe both populations are normally distributed, but you do not know the standard deviations for either. However, assume that the variances of the two populations are equal. You obtain a sample of size n1=23 with a mean of ¯x1=74.5 and a standard deviation of SD1=20.4 from the first population. You obtain a sample of size n2=11with a mean of ¯x2=89.8and a standard deviation of SD2=7.3 from the second population.What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of…
In a random sample of size 36 we observe a sample mean of 25 and a variance of 144. If we test the hypotheses below with a significance level of 0.05. Ho: µ = 20 HẠ :4 > 20 what will be the calculated test statistic?
8.2 Use technology to find the P-value for the hypothesis test described below. The claim is that for a smartphone carrier's data speeds at airports, the mean is μ=17.00 Mbps. The sample size is n=21 and the test statistic is t=−1.798
You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1<μ2Ha:μ1<μ2You believe both populations are normally distributed, but you do not know the standard deviations for either. We will assume that the population variances are not equal. You obtain a sample of size n1=18 with a mean of M1=62.6 and a standard deviation of SD1=13.2 from the first population. You obtain a sample of size n2=17 with a mean of M2=73.1 and a standard deviation of SD2=5.6 from the second population.What is the test statistic for this sample? (Report answer accurate to three decimal places.)
Question 9 Two independent samples are selected from two populations with means µg and u2, respectively. Suppose a 99% confidence interval for u1 - H2 is (-1.65, 21.65), a 95% confidence interval is (0.2, 19.8), and a 90% confidence interval is (1.775, 18.225). In testing Ho : H1 - H2 = 0 versus H1: H1 - H2 0, the p-value is between 0.20 and 1.00 between 0.10 and 0.15 between 0.05 and 0.10 between 0.01 and 0.05. between 0.15 and 0.20
2. Given the NSAT scores of 36 students which follows normal distribution with mean u and variance 800 and suppose we have the following hypothesis of interest Ho: u = 530 vs H1:µ< 530 Use CR = {X | X < 510.77} and $(µ) = P(rej. Ho | p) and determine the significance level and power of a %3D test.

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Example: In a two sample test of Ho: ₁-2 = 3 versus H₁₁-23, suppose that the data are normal, m = n and o=o= 84.0. Can we choose m such that the test = 5.0? This has level a = : 0.01 and 3 = 0.05 at μ₁ −µ₂ question concerns experimental design.