You wish to test the following claim (Ha) at a significance level of a =0.10.H.:µ = 75.2Ha:µ > 75.2You believe the population is normally distributed, but you do not know the standard deviation. Youobtain a sample of size n = 10 with mean a = 79.9 and a standard deviation of s = 16.5.a. What is the test statistic for this sample?test statistic =0.9008 v Round to 3 decimal placesb. What is the p-value for this sample?p-value =Round to 4 decimal places.

The random variable X follows normal distribution. We have to test whether the population mean is…

Answered: You wish to test the following claim…

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=0.02. H0: u=83.9 Ha:u<83.9 You believe the population is normally distributed but you do not know the standard deviation. You obtain a sample of size n=119 with the meanM=79.4 and a standard deviation of SD=12.9. What is the test statistic foe this sample? What is the P value for this sample? The p value is less than or greater than a? This test statistic leads to a decision to: reject the null, accept the null, or fail to reject the null?
You wish to test the following claim (H.) at a significance level of a = 0.02. H,:µ = 62.5 Ha:µ > 62.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 67.6 80.2 74.4 66.3 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... O less than (or equal to) a O greater than a
You wish to test the following claim (Ha) at a significance level of a = 0.02. H.:µ = 78.8 Ha:u # 78.8 You believe the population is normally distributed, but you do not know the standard deviation. Yo- the following sample of data: data 89.8 93.6 83.4 91.5 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 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 e to 78.8. O There is not sufficient evidence to warrant rejection of the claim that the population mean is n equal to 78.8. O The sample data support the claim that the population mean is not equal to 78.8. O There is not…
You wish to test the following claim (Ha) at a significance level of a = 0.005. H.: µ = 60.8 H.:u > 60.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 92.4 61.2 97.2 82.3 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 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... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 60.8. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 60.8. The sample data support the claim that the population mean is greater than 60.8. There is…
In a test, the average score is 100. You believe that the average score for your class is higher. You took a sample of 30 students. The average score for this group is 140 with a standard deviation of 15. Test the hypothesis that the average score is greater. Use a = .05. The alternative hypothesis is.. O Ha: µ + 100 Ha: µ 100 O Ha: µ = 100
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 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: p= 84.3 Ha : μ > 84.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 118 with mean M = 86.2 and a standard deviation of SD = 9.6. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = 2.15 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 F As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 84.3. O There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 84.3. O The sample data support the claim that the population…
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.
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

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