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MATLAB: An Introduction with Applications

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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Question

You wish to test the following claim (H) at a significance level of a = 0.005.
Ho: p= 73.2
Ha : μ # 73.2
You believe the population is normally distributed and you know the standard deviation is o = 17.2. You
obtain a sample mean of M = 80.6 for a sample of size n = 56.
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.)
D-value

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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 = 0.01. H.: µ = 62.4 Ha:H > 62.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 31 with mean M 63.6 and a standard deviation of SD = 10.9. 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 =
You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ = 74.9 H.:p 74.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 84 with mean M = 74 and a standard deviation of SD = 6.4. 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) 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
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The data table contains waiting times of customers at a bank, where customers enter a single waiting line that feeds three teller windows. Test the claim that the standard deviation of waiting times is less than 1.3 minutes, which is the standard deviation of waiting times at the same bank when separate waiting lines are used at each teller window. Use a significance level of 0.05. Complete parts (a) through (d) below. A Click on the icon to view the data. a. Identify the null and alternative hypotheses. Choose the correct answer b i Customer Waiting Times O A Ho: o=1.3 minutes HA:o#1.3 minutes Customer Waiting Times (in minutes) 6.1 C. Ho: 0=1.3 minutes HA:o<1.3 minutes 8.7 6.1 6.8 7.2 6.2 6.9 6.8 6.8 7.5 7.8 7.6 6.7 7.4 b. Compute the test statistic. 6.6 10.3 6.5 7.8 6.4 7.7 4.4 7.2 7.3 7.7 6.4 (Round to two decimal places as needed.) 6.6 7.1 6.2 6.2 7.6 6.5 6.7 7.3 6.9 8.1 5.5 6.3 6.2 7.4 7.1 7.2 6.9 6.4 6.1 6.9 6.1 6.3 7.9 6.4 7.9 6.7 14.2 6.2 8.1 7.8 7.3 7.5 6.9 7.7 7.5 Print…
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 (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 (Ha) at a significance level of a = 0.002. Ho: μ = 55.6 H@μ < 55.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 38.7 63.5 49.1 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... less than (or equal to) a greater than a This test statistic leads to a decision to... Oreject 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 55.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 55.6. The sample data support the claim that the population mean is less than 55.6. There is not sufficient sample…
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 (H.) at a significance level of a = 0.01. H.:µ = 75.8 Ha:µ > 75.8 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n = 73 mean: M = 77.2 standard deviation: SD = 8.5. 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... O less than (or equal to) a O greater than a This leads to a decision to... O reject the null O accept the null O fail to reject the null So, the final conclusion is that... O The data do not support the claim of the alternative hypothesis that the population mean is greater than 75.8. O The sample data support the claim of the alternative hypothesis that the population mean is greater than 75.8.
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