A company claims that the mean monthly salary for their managers is 11 thousand dollars.A sample of 100 managers has a mean monthly salary of 10.8 thousand dollars with a standard deviationof 1.2 thousand dollars. You want to perform a hypothesis test challenge the validity of the claim madeby the company, at a significance level of a = 0.10.Your hypotheses are:H.: µ = 11, 000Ha:µ < 11, 000(a) Find the test statistic, rounded to 4 decimal places.Test Statistic =(b) Flnd the p-value, rounded to 4 decimal places.p-value =

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Answered: A company claims that the mean monthly…

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 = 0.05. Ho:μ = 79.2 79.2 Ha: You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 25 with mean M = 75.4 and a standard deviation of SD = 8.7. 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 79.2. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 79.2. O The sample data support the claim that the population mean is…
You wish to test the following claim (HaHa) at a significance level of α=0.01. Ho:μ=83.1 Ha:μ≠83.1You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=24 with mean M=67.7and a standard deviation of SD=19.9.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
You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. Ho:μ=85.9Ho:μ=85.9 Ha:μ>85.9Ha:μ>85.9 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=6n=6 with mean M=89.6M=89.6 and a standard deviation of SD=9.1SD=9.1. 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 = 0.10. H.:µ = 73.1 Ha:µ # 73.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 32 with mean M = 78.7 and a standard deviation of SD = 13.2, 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) œ O greater than a https://ohm.lumenlearning.com/actions.php?action=logout P Type here to search HEWLETT KARD 12 esc ? IOI 144 @ #3 $ 4. 3 6. 8. ab W E R Y ock D F G J |米 21
You wish to test the following claim (HaHa) at a significance level of 0.10. Ho:μ=80.1Ho:μ=80.1 Ha:μ<80.1Ha:μ<80.1 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=11n=11 with mean M=70.3M=70.3 and a standard deviation of SD=7.7SD=7.7. The test statistic is -4.221 What is the p-value for this sample?
You wish to test the following claim (Ha) at a significance level of a = 0.001. H.:µ = 70.7 Ha:H # 70.7 You believe the population is normally distributed and you know the standard deviation is o = 7.1. You obtain a sample mean of M = 74.7 for a sample of size n = 35. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = %3D What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = %3D
You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=81.9 Ha:μ≠81.9You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=12n=12 with mean M=72.6M=72.6 and a standard deviation of SD=7.5SD=7.5.What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = ______The p-value is... A.) less than (or equal to) αα B.) greater than α This p-value leads to a decision to... A.) reject the null B.) accept the null C.) fail to reject the null As such, the final conclusion is that... A.) There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 81.9. B.) There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 81.9. C.) The sample data support the claim that the population mean is not equal to 81.9. D.) There is not sufficient sample evidence to…
You wish to test the following claim (Ha) at a significance level of a = 0.05. H.:µ = 51.2 H.:µ + 51.2 You believe the population is normally distributed and you know the standard deviation is o = 19.9. You obtain a sample mean of M = 38.6 for a sample of size n = 24. 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 daily wage of a particular industry is normally distributed with a mean of 150 pesos. In a random sample of 144 workers of a very large company in this industry, the mean daily wage was found to be 148 pesos with a standard deviation of 10 pesos. Can this company be accused of paying inferior wages (less than the usual) at α=5%? Which of the following sets of hypotheses should be used in this study? A. Ho: μ = 150 vs. Ha: μ > 150 B. Ho: μ = 150 vs. Ha: μ < 150 C. Ho: μ = 148 vs. Ha: μ > 148 D. Ho: μ = 148 vs. Ha: μ < 148
Medicare would like to test the hypothesis that the average monthly rate for one-bedroom assisted-living facility is equal to $3,300. A random sample of 12 assisted-living facilities had an average rate of $3,690 per month. The standard deviation for this sample was $530. Medicare would like to set α = 0.02. The critical value for this hypothesis test would be
You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. Ho:μ=84.9Ho:μ=84.9 Ha:μ>84.9Ha:μ>84.9You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=25n=25 with a mean of M=89.9M=89.9 and a standard deviation of SD=10.4SD=10.4.What is the critical value for this test? (Report answer accurate to three decimal places.)critical value = IncorrectWhat is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = IncorrectThe test statistic is... in the critical region not in the critical region Incorrect This test statistic leads to a decision to... reject the null accept the null fail to reject the null Incorrect As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 84.9. There is not sufficient evidence to warrant rejection of the…

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