## Independent Samples t-Test### Problem StatementYou wish to test the following claim ( \(H_a\) ) at a significance level of \( \alpha = 0.002 \).\[\begin{aligned}H_0: \mu &= 84.8 \\H_a: \mu &> 84.8 \\\end{aligned}\]### Given Data- Population standard deviation, \(\sigma = 15.7\)- Sample mean, \(M = 88.9\)- Sample size, \(n = 42\)### Hypothesis TestYou believe the population is normally distributed and you know the standard deviation. The goal is to determine the critical value and test statistic for this sample.### Calculations**Finding the Critical Value:**- Significance level (\( \alpha \) ) = 0.002- Critical value (accurate to three decimal places): \[\text{critical value} = 3.050 \quad (\text{incorrect})\]**Finding the Test Statistic:**- Given the sample mean (\( M \) ), population mean (\( \mu \) ), population standard deviation (\( \sigma \) ), and sample size (\( n \) ):- Test statistic (accurate to three decimal places): \[\text{test statistic} = 1.692 \quad (\text{correct})\]

Name: ## Independent Samples t-Test### Problem StatementYou wish to test th
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: ## Independent Samples t-Test### Problem StatementYou wish to test the following claim ( \(H_a\) ) at a significance level of \( \alpha = 0.002 \).\[\begin{aligned}H_0: \mu &= 84.8 \\H_a: \mu &> 84.8 \\\end{aligned}\]### Given Data- Population stand

Answered: Image /qna-images/answer/8a922c27-3f34-4773-bb7d-74d50e34fa6e.jpg

Math

Statistics

You wish to test the following claim (Ha) at a significance level of a = 0.002. H.:µ = 84.8 На: и> 84.8 You believe the population is normally distributed and you 15.7. You obtain a know the standard deviation is o = sample mean of M 88.9 for a sample of size n = 42. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value =|3.050 X %3D What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =| 1.692 v o

You wish to test the following claim (Ha) at a significance level of a = 0.002. H.:µ = 84.8 На: и> 84.8 You believe the population is normally distributed and you 15.7. You obtain a know the standard deviation is o = sample mean of M 88.9 for a sample of size n = 42. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value =|3.050 X %3D What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =| 1.692 v o

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

You wish to test the following claim (H) at a significance level of a = 0.001. H.:µ = 63.5 Ha:µ < 63.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 54 with mean M = 61 and a standard deviation of SD = 18.3. 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) a greater than a This test statistic leads to a decision to... O 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 the claim that the population mean is less than 63.5. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 63.5. The sample data support the claim that the population mean is less than 63.5. O…
You wish to test the following claim (Ha) at a significance level of a = 0.05. Ho: μ = 76.3 Ha: μ#76.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 29 with mean M = 78.7 and a standard deviation of SD = 7.2. 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 =
You wish to test the following claim at a significance level of 0.002. Ho:µ = 84.7 H1: µ + 84.7 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size 51 with a mean of 87.7 and a standard deviation of 6.8. What is the critical value for this test? (Report answer accurate to 3 decimal places.) 士 What is the test statistic for this sample? (Report answer accurate to 3 decimal places.) 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 conclude that the population mean is equal to 84.7. there is not sufficient evidence to conclude that the population mean is equal to 84.7. there is sufficient evidence to conclude that the population mean is not equal to 84.7. there is not sufficient evidence to conclude that the population mean is not equal to 84.7.
You wish to test the following claim (Ha) at a significance level of a = 0.005. = На: и 84.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of sizen = 8 with mean M 94.2 and a standard deviation of SD 18.6. What is the p-value for this sample? (Report answer accurate to four decimal places.)
You wish to test the following claim (Ha) at a significance level of a = 0.05. Ho:μ = 79.2 79.2 Ha: You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 25 with mean M = 75.4 and a standard deviation of SD = 8.7. 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... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 79.2. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 79.2. O The sample data support the claim that the population mean is…
You wish to test the following claim (H) at a significance level of a = 0.01. Ho:μ = 87.4 Ha:μ< 87.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 19 with mean M = 85.3 and a standard deviation of SD = 15.6. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a Ogreater than a This p-value leads to a decision to... O reject the null accept the null O fail to reject the null
You wish to test the following claim (H) at a significance level of a = 0.001. Ho:μ = 59.6 Ha: μ < 59.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 723 with mean M 59.2 and a standard deviation of SD = 5.2. 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... o less than (or equal to) a Ogreater than a This test statistic leads to a decision to... o reject the null o accept the null o fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is less than 59.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 59.6. The sample data support the claim that the population mean is less than…
You wish to test the following claim (Ha) at a significance level of a = 0.005. Ho: μ = 74.6 Ha: μ < 74.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 34 with mean M 72.9 and a standard deviation of SD = 13.9. 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... o less than (or equal to) a Ogreater than a This test statistic leads to a decision to... Oreject the null o accept the null o fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is less than 74.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 74.6. The sample data support the claim that the population mean is less than…
You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ = 70.7 Ha:H # 70.7 You believe the population is normally distributed and you know the standard deviation is o = 7.1. You obtain a sample mean of M = 74.7 for a sample of size n = 35. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = %3D What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = %3D
You wish to test the following claim (H,) at a significance level of a = 0.05. H.:µ = 54.4 Ha:µ < 54.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 89 with mean M = 47.6 and a standard deviation of SD = 18.2. 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 =
You wish to test the following claim (H.) at a significance level of a = 0.02. H.:µ = 71.8 Ha:u > 71.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 19 with mean I = 89.2 and a standard deviation of s = 17.6. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This p-value leads to a decision to... O reject the null O accept the null O do not reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 71.8. O There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 71.8. O The sample data support the claim that the population mean is greater than 71.8. O There is not sufficient sample evidence to súpport the claim that the population mean is greater…
"A fitness coach woud like to determine whether her aerobic fitness intervention leads to a significant increase or decrease in the one rep max (i.e., heaviest possible weight that can be lifted once) for deadlifts in her group of athletes (n = 13). She finds that the mean difference = 3 lbs, with a sum of squared deviation (SS) = 84. Calculate the t-statistic the fitness coach would observe given this data. (Be sure to round your answer to the second decimal place)."