You wish to test the following claim (Ha) at a significance level of a = 0.10.Ho:μ = 76.3Ha: μ < 76.3You believe the population is normally distributed, but you do not know the standard deviation. You obtain asample of size n = 72 with a mean of M = 72.5 and a standard deviation of SD = 8.7.What is the critical value for this test? Use the TI-84 or online t or z-score calculator. (Round to three decimalplaces.)Critical value=What is the test statist: for this sample? (Round to three decimal places.)Test statistic =The test statistic is...in the critical regionnot in the critical regionThis test statistic leads to a decision to...reject the nullfail to reject the nullAs such, the final conclusion is that...(Watch the video below for help with the conclusion.)The sample data support the claim that the population mean is less than 76.3.There is not sufficient sample evidence to support the claim that the population mean is less than 76.3.

Given : To test : Ho:μ=76.3 VS Ha:μ<76.3 This is left tailed test Population 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 = 0.002. Ha:µ < 78.6 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 19 with mean = 70.4 and a standard deviation of s = 19.8. What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is. Oless than (or equal to) a Ogreater than a This p-value leads to a decision to. Oreject the null Oaccept the null Ofail to reject the nul As such, the final conclusion is that. OThere is sufficient evidence to warrant rejection of the claim tha: the population mean is less than 78.6. O There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 78.6. OThe sample data support the claim that the population mean is less than 78.6. OThere is not sufficient sample evidence to support the claim that the population mean is less than 78.6.
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 = 0.002. 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 = 0.01. Ho:μ = 87.4 Ha:μ< 87.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 19 with mean M = 85.3 and a standard deviation of SD = 15.6. 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 p-value leads to a decision to... O reject the null accept the null O fail to reject the null
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 = 71.5 Ha: μ > 71.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 529 with a mean of M = 72.9 and a standard deviation of SD = 18.3. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... O in the critical region O not in the critical region 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 greater than 71.5. O There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 71.5. O The sample data…
You wish to test the following claim (H.) at a significance level of a = 0.02. H.:µ = 71.8 Ha:u > 71.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 19 with mean I = 89.2 and a standard deviation of s = 17.6. 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 p-value leads to a decision to... O reject the null O accept the null O do not 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 greater than 71.8. O There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 71.8. O The sample data support the claim that the population mean is greater than 71.8. O There is not sufficient sample evidence to súpport the claim that the population mean is greater…
The time to complete an exam is approximately Normal with a mean μ = 47 minutes and a standard deviation o = 8 minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. 1. Fill in the indicated boxes. μ-3σ μ-2ο μίσ + μ μ+o 47 minutes. 2. Used the Empirical Rule to complete the following statements: 95% of testing times were between and μ = 47 σ = 8 μ+20 μ+30 minutes and 55 minutes. minutes % of the testing times were between 39
You want to obtain a sample to estimate a population mean age. Based on previous evidence, you believe the population standard deviation is approximately o = 2.3 years. You would like to be 95% confident that your estimate is within 0.75 years of the true population mean. What is the smallest sample size you can use? The smallest possible sample has members.
You wish to test the following claim (Ha) at a significance level of a = 0.10. Ho:μ = 76.3 Ha: μ < 76.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 72 with a mean of M = 72.5 and a standard deviation of SD = 8.7. What is the critical value for this test? Use the TI-84 or online t or z-score calculator. (Round to three decimal places.) Critical value= What is the test statist: for this sample? (Round to three decimal places.) Test statistic = The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null fail to reject the null As such, the final conclusion is that... (Watch the video below for help with the conclusion.) The sample data support the claim that the population mean is less than 76.3. There is not sufficient sample evidence to support the claim that the population mean is less than 76.3.
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 = 0.05. H.: H Ha:µ < 57.8 57.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 33.2 51.8 25 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 greater than a

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