### Hypothesis Testing: Significance Level and P-Value Calculation#### Hypothesis StatementYou wish to test the following claim (Ha) at a significance level of α = 0.01.- \( H_0: \mu = 84.5 \)- \( H_a: \mu \neq 84.5 \)#### Given DataYou believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size \( n = 66 \) with mean \( M = 94.1 \) and a standard deviation of \( SD = 19.5 \).#### Calculation of Test StatisticWhat is the test statistic for this sample? (Report answer accurate to three decimal places.)\[ \text{test statistic} = \]#### Calculation of P-ValueWhat is the p-value for this sample? (Report answer accurate to four decimal places.)\[ \text{p-value} = \]#### P-Value ComparisonThe p-value is...- [ ] less than (or equal to) α- [ ] greater than α#### Decision Based on Test StatisticThis test statistic leads to a decision to...- [ ] reject the null- [ ] accept the null- [ ] fail to reject the null#### Final ConclusionAs such, the final conclusion is that...- [ ] There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 84.5.- [ ] There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 84.5.- [ ] The sample data support the claim that the population mean is not equal to 84.5.- [ ] There is not sufficient sample evidence to support the claim that the population mean is not equal to 84.5.This form guides students through the process of hypothesis testing, from stating the hypotheses to calculating the test statistic and p-value, making a decision, and drawing a conclusion based on that decision.

You wish to test the following claim (H.) at a significance level of a = 0.01. H,:µ = 84.5 Ha:µ + 84.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 66 with mean M = 94.1 and a standard deviation of SD = 19.5. 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... 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 not equal to 84.5. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 84.5. The sample data support the claim that the population mean is not equal to 84.5. There is not sufficient sample evidence to support the claim that the population mean is not equal to

You wish to test the following claim (H.) at a significance level of a = 0.01. H,:µ = 84.5 Ha:µ + 84.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 66 with mean M = 94.1 and a standard deviation of SD = 19.5. 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... 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 not equal to 84.5. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 84.5. The sample data support the claim that the population mean is not equal to 84.5. There is not sufficient sample evidence to support the claim that the population mean is not equal to

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 (Ha) at a significance level of α=0.02. Ho:μ=63.3 Ha:μ>63.3You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=62 with mean M=68 and a standard deviation of SD=16.2.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... less than (or equal to) α greater than α 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 the claim that the population mean is greater than 63.3. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 63.3. The sample data support the claim that the population mean is greater…
You wish to test the following claim (H,) at a significance level of a = 0.10. H.:u = 53.6 Ha:u + 53.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 105 with mean M = 55.6 and a standard deviation of SD = 14.4. 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) o 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 53.6. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 53.6. O The sample data support the claim that the population mean…
You wish to test the following claim (HaHa) at a significance level of α=0.05 Ho:μ=59.9 Ha:μ>59.9You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=93n=93 with mean M=62.6M=62.6 and a standard deviation of SD=9.4SD=9.4.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 the claim that the population mean is greater than 59.9. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 59.9. The sample data support the claim that the…
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 = 0.001. H.:µ = 59.3 Ha:µ + 59.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 666 with mean M = 57.9 and a standard deviation of SD = 15.4. 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 Ogreater than a 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 the claim that the population mean is not equal to 59.3. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 59.3. The sample data support the claim that the population mean is not equal…
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 (H) at a significance level of a = 0.10. H.:µ = 66.2 Ha:µ + 66.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 10 with mean M = 43.4 and a standard deviation of SD = 18.5. 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 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 66.2. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 66.2. O The sample data support the claim that the population mean is not…
You wish to test the following claim (H.) at a significance level of a = 0.005. H.:µ = 65.2 Ha:u < 65.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of 44.8 and a standard deviation size n 9 with mean M of SD = 14.2. 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 p-value 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 the claim that the population mean is less than 65.2. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 65.2. The sample data support the claim that the population mean is less than 65.2. There is not sufficient sample evidence to support the claim that the population mean is less than 65.2.
You wish to test the following claim (Ha) at a significance level of a = 0.001. Ho:µ = 60.5 Ha:µ + 60.5 You believe the population is normally distributed and you know the standard deviation is o = 11.1 You obtain a sample mean of M = 56.9 for a sample of size n = 39. 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 60.5. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 60.5. O The sample data support the claim that the population mean is not equal to 60.5. O…
You wish to test the following claim ( Ha) at a significance level of α= 0.10. Ho: μ= 84.8Ha: μ< 84.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:66.582.260.2 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...less than (or equal to) α or greater than α This test statistic leads to a decision to...reject the nullaccept the nullfail 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 84.8.There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 84.8.The sample data support the claim that the population mean is less than 84.8.There is not sufficient sample evidence to…
You wish to test the following daim (H.) at a significance level of a = 0.005. H.:µ = 83.8 Ha:µ < 83.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 16 with mean M = 71.4 and a standard deviation of SD = 17.1. 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 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 condusion is that... O There is sufficient evidence to warrant rejection of the daim that the population mean is less than 83.8. O There is not sufficient evidence to warrant rejection of the daim that the population mean is less than 83.8. O The sample data support the daim that the population mean is less than…
You wish to test the following claim (H.) at a significance level of a = 0.01. H,: µ = 70.8 Ha:p > 70.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 564 with mean M = 71.3 and a standard deviation of SD = 5.6. 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... FEB W www esc F1 F2 F3 F4 F5 F6 00