You wish to test the following claim (Ha) 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 =

You wish to test the following claim (Ha) 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 =

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 (Ha) at a significance level of a = 0.01. H.:µ = 73.7 HaiH + 73.7 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n = 54 mean: M = 65.8 standard deviation: SD = 20.1. What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P-value for this sample? (Round the answer accurate to 3 decimal places.) P-value = The P-value is... less than (or equal to) a greater than a This leads to a decision to... reject the null accept the null fail to reject the null So, the final conclusion is that... The data do not support the claim of the alternative hypothesis that the population mean is not equal to 73.7. The sample data support the claim of the alternative hypothesis that the population mean is not equal to 73.7.
You wish to test the following claim (Ha) at a significance level of a = 0.02. || 74.4 Ha:µ + 74.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D Column E 82.1 86.3 73.9 81.8 66.3 56.6 73.4 74.7 78.5 93.6 60 79.8 71.4 76.3 86.8 60 82.1 69.6 87.7 79.5 96.1 88.2 97.9 81.8 66.7 72 86.3 82.1 78.7 57.9 79.3 62.9 85.5 75 75.5 71.1 64 71.7 62.3 86.3 69.2 80.9 85.2 75.8 88.2 83.7 65.9 63.5 86.3 67.1 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 =
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 = 0.002. H.:µ = 76.5 Ha: µ > 76.5 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 = 95.2 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 = 4.1099 V What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
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You wish to test the following claim (H.) at a significance level of a 0.02. H,:p = 79.3 H: u > 79.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 7 with mean M 105.5 and a standard deviation of SD= l6.5. %3D 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 p-value leads to a decision to... reject the null Oaccept the null fail to reject the null As such, the final conclusion is that... 5There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 79.3. | There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 79.3. The sample data support the claim that the population mean is greater than 79.3. There is not sufficient sample evidence to support the claim that the population mean is greater than 79.3.
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 (Ha) at a significance level of a = 0.01. H.:µ = 68.6 Ha:u # 68.6 You believe the population is normally distributed and you know the standard deviation is a= 16.5 .You obtain a sample mean of M = 72.9 for a sample of size n = 25. 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 68.6. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 68.6. O The sample data support the claim that the population mean is not equal to 68.6.…
You wish to test the following claim at a significance level of a=0.10. H0:U=81.8 H1:U<81.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size 90 with mean 77.6 and a standard deviation of 14.8.What is the test statistic for this sample? (Report answer accurate to 3 decimal places.)What is the p-value for this sample? (Report answer accurate to 4 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 81.8. there is not sufficient evidence to conclude that the population mean is equal to 81.8. there is sufficient evidence to conclude that the population mean is less than 81.8. there is not sufficient evidence to conclude that the population mean is less than 81.8.
You wish to test the following claim (H) at a significance level of a = 0.05. Ho: = 59.1 Ha:μ > 59.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 70 with mean M = 62.7 and a standard deviation of SD = 18.8. 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 greater than 59.1. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 59.1. The sample data support the claim that the population mean is greater than…
You wish to test the following claim (Ha) at a significance level of a = 0.05. 79.7 H.:µ < 79.7 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 95.3 59.8 59.3 63.4 42.9 What is the test statistic for this sample? (Report answer accurate to 3 decimal places.) test statistic = What is the P-value for this sample? (Report answer accurate to 3 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 fail to reject the null As such, the final conclusion is that... O The sample data support the claim that the population mean is less than 79.7. O There is not sufficient sample evidence to support the claim that the population mean is less than 79.7.