The average salary for American college graduates is $41,600. You suspect that the average is more for graduates from your college. The 42 randomly selected graduates from your college had an average salary of $46,441 and a standard deviation of $12,330. What can be concluded at the αα = 0.10 level of significance? For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is αα Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest that the population mean is not significantly greater than 41,600 at αα = 0.10, so there is statistically insignificant evidence to conclude that the population mean salary for graduates from your college is greater than 41,600. The data suggest that the sample mean is not significantly greater than 41,600 at αα = 0.10, so there is statistically insignificant evidence to conclude that the sample mean salary for graduates from your college is greater than 46,441. The data suggest that the populaton mean is significantly greater than 41,600 at αα = 0.10, so there is statistically significant evidence to conclude that the population mean salary for graduates from your college is greater than 41,600. Interpret the p-value in the context of the study. There is a 0.74052846% chance that the population mean salary for graduates from your college is greater than $41,600 . There is a 0.74052846% chance of a Type I error. If the population mean salary for graduates from your college is $41,600 and if another 42 graduates from your college are surveyed then there would be a 0.74052846% chance that the sample mean for these 42 graduates from your college surveyed would be greater than $46,441. If the population mean salary for graduates from your college is $41,600 and if another 42 graduates from your college are surveyed then there would be a 0.74052846% chance that the population mean salary for graduates from your college would be greater than $41,600. Interpret the level of significance in the context of the study. There is a 10% chance that the population mean salary for graduates from your college is greater than $41,600. If the population mean salary for graduates from your college is $41,600 and if another 42 graduates from your college are surveyed then there would be a 10% chance that we would end up falsely concluding that the population mean salary for graduates from your college is greater than $41,600. If the population population mean salary for graduates from your college is greater than $41,600 and if another 42 graduates from your college are surveyed then there would be a 10% chance that we would end up falsely concluding that the population mean salary for graduates from your college is equal to $41,600. There is a 10% chance that your won't graduate, so what's the point?
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 as the expectation, is denoted by: E(X).
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 choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
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 probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
The average salary for American college graduates is $41,600. You suspect that the average is more for graduates from your college. The 42 randomly selected graduates from your college had an average salary of $46,441 and a standard deviation of $12,330. What can be concluded at the αα = 0.10 level of significance?
- For this study, we should use
- The null and alternative hypotheses would be:
H0:H0:
H1:H1:
- The test statistic = (please show your answer to 3 decimal places.)
- The p-value = (Please show your answer to 4 decimal places.)
- The p-value is αα
- Based on this, we should the null hypothesis.
- Thus, the final conclusion is that ...
- The data suggest that the population
mean is not significantly greater than 41,600 at αα = 0.10, so there is statistically insignificant evidence to conclude that the population mean salary for graduates from your college is greater than 41,600. - The data suggest that the sample mean is not significantly greater than 41,600 at αα = 0.10, so there is statistically insignificant evidence to conclude that the sample mean salary for graduates from your college is greater than 46,441.
- The data suggest that the populaton mean is significantly greater than 41,600 at αα = 0.10, so there is statistically significant evidence to conclude that the population mean salary for graduates from your college is greater than 41,600.
- The data suggest that the population
- Interpret the p-value in the context of the study.
- There is a 0.74052846% chance that the population mean salary for graduates from your college is greater than $41,600 .
- There is a 0.74052846% chance of a Type I error.
- If the population mean salary for graduates from your college is $41,600 and if another 42 graduates from your college are surveyed then there would be a 0.74052846% chance that the sample mean for these 42 graduates from your college surveyed would be greater than $46,441.
- If the population mean salary for graduates from your college is $41,600 and if another 42 graduates from your college are surveyed then there would be a 0.74052846% chance that the population mean salary for graduates from your college would be greater than $41,600.
- Interpret the level of significance in the context of the study.
- There is a 10% chance that the population mean salary for graduates from your college is greater than $41,600.
- If the population mean salary for graduates from your college is $41,600 and if another 42 graduates from your college are surveyed then there would be a 10% chance that we would end up falsely concluding that the population mean salary for graduates from your college is greater than $41,600.
- If the population population mean salary for graduates from your college is greater than $41,600 and if another 42 graduates from your college are surveyed then there would be a 10% chance that we would end up falsely concluding that the population mean salary for graduates from your college is equal to $41,600.
- There is a 10% chance that your won't graduate, so what's the point?
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