You wish to test the following claim (Ha) at a significance level of a = 0.02.Ho: μ = 67.8Ha : μ < 67.8You believe the population is normally distributed and you know the standard deviation is a = 12.6. Youobtain a sample mean of M = 66.6 for a sample of size n = 26.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 =

Suppose the population mean is µ.

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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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 (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 = 0.002. 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 =
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 =
A survey of 15 large cities noted the average weekly commute times, in hours, of the residents of each city. The results are recorded in the table below. Weekly Commute Time (h) 5.5 4.0 5.6 5.0 4.6 4.4 6.8 4.9 3.5 6.4 3.7 4.9 5.7 2.7 4.4 Find the mean and sample standard deviation of these data. Round to the nearest hundredth. mean sample standard deviation
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 = 0.002. H.:µ = 79.2 Ha:µ > 79.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 125 with mean M = 83.5 and a standard deviation of SD = 13.4. 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 =
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…
During an economic crisis, the average value of homes in a community of 36 homes lost $9445 with a standard deviation of $1300. The average home value in the region lost $8990. Was this community of 36 homesunusual? Use a t-test to decide if the average loss observed was significantly different from the region value. Use a level of significance α=0.05. Identify the hypotheses for the test. H0: μ ▼ not equals≠ equals= greater than> less than< nothing HA: μ ▼ equals= greater than> not equals≠ less than< nothing The test statistic is nothing. (Round to two decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) What is the conclusion of the test? Was the average loss observed significantly different from the region value? ▼ Reject Fail to reject the null hypothesis because the P-value is ▼ greater less than the given significance level, and conclude that the…
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…

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