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30.03.2020 •
Mathematics
The mean income per person in the United States is $50,000, and the distribution of incomes follows a normal distribution. A random sample of 10 residents of Wilmington, Delaware, had a mean of $60,000 with a standard deviation of $10,000. At the 0.05 level of significance, is that enough evidence to conclude that residents of Wilmington, Delaware, have more income than the national average
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Ответ:
Yes. There is sufficient eveidence to support the claim that Wilmington resident's earn more than the national average
Step-by-step explanation:
Given the following;
#We set our hypothesis as:
The rejection region of either hypothesis:
=>We reject for all values greater than 1.833, t>1.833.
#We now determine the value of the test statistic as:
We find that:
Hence, there is sufficient eveidence to support the claim that Wilmington resident's earn more than the national average.
Ответ: