In: Statistics and Probability
Suppose the mean income of 35-year -olds in the United States is $25,000. A random sample of 150 35-year-olds in California results in a sample mean income of $26,600 and a sample standard deviation of $3800. At the 1% significance level, can we conclude that the true mean income of 35-year-old Californians is greater than that of the nation, in general?
Conclusion
It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that the true mean income of 35-year-old Californians is greater than that of the nation, in general At the 1% significance level .