MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Concept explainers

Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known …
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosi…
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the prob…
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The average salary for American college graduates is $44,800. You suspect that the average is less for graduates from your college. The 50 randomly selected graduates from your college had an average salary of 544,467 and a standard deviation of $5,500. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use t-test for a population mean b. The null and altemative hypotheses would be: Họ: Pv H1: c. The test statistic t v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer g. Thus, the final conclusion is that .. the null hypothesis. The data suggest that the sample mean is not significantly less than 44,800 at a = 0.01, so there is statistically insignificant evidence to conclude that the sample mean salary for graduates from your college is less than 44,467. O The data suggest that the population mean is not significantly less than 44,800 at a = 0.01, so there is statistically insignificant evidence to conclude that the population mean salary for graduates from your college is less than 44,800. O The data suggest that the populaton mean is significantly less than 44,800 at a = 0.01, so there is statistically significant evidence to conclude that the population mean salary for graduates from your college is less than 44,800. h. Interpret the p-value in the context of the study. O f the population mean salary for graduates from your college is $44,800 and if another 50 graduates from your college are surveyed then there would be a 33.50800579% chance that the population mean salary for graduates from your college would be less than $44,800. O There is a 33.50800579% chance that the population mean salary for graduates from your college is less than $44,800. O There is a 33.50800579% chance of a Type I error. Olf the population mean salary for graduates from your college is $44,800 and if another 50 graduates from your college are surveyed then there would be a 33.50800579% chance that the sample mean for these 50 graduates from your college would be less than $44,467.
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Transcribed Image Text:The average salary for American college graduates is $44,800. You suspect that the average is less for graduates from your college. The 50 randomly selected graduates from your college had an average salary of 544,467 and a standard deviation of $5,500. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use t-test for a population mean b. The null and altemative hypotheses would be: Họ: Pv H1: c. The test statistic t v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer g. Thus, the final conclusion is that .. the null hypothesis. The data suggest that the sample mean is not significantly less than 44,800 at a = 0.01, so there is statistically insignificant evidence to conclude that the sample mean salary for graduates from your college is less than 44,467. O The data suggest that the population mean is not significantly less than 44,800 at a = 0.01, so there is statistically insignificant evidence to conclude that the population mean salary for graduates from your college is less than 44,800. O The data suggest that the populaton mean is significantly less than 44,800 at a = 0.01, so there is statistically significant evidence to conclude that the population mean salary for graduates from your college is less than 44,800. h. Interpret the p-value in the context of the study. O f the population mean salary for graduates from your college is $44,800 and if another 50 graduates from your college are surveyed then there would be a 33.50800579% chance that the population mean salary for graduates from your college would be less than $44,800. O There is a 33.50800579% chance that the population mean salary for graduates from your college is less than $44,800. O There is a 33.50800579% chance of a Type I error. Olf the population mean salary for graduates from your college is $44,800 and if another 50 graduates from your college are surveyed then there would be a 33.50800579% chance that the sample mean for these 50 graduates from your college would be less than $44,467.
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