Hillary babysits for $6 per hour. She also works as a math tutor for $8 per hour. Her parents only allow her to work 14 hours pe
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Answer:
We conclude that the residents of Wilmington, Delaware, have higher income than the national average
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $44,500
Sample mean, = $52,500
Sample size, n = 16
Alpha, α = 0.05
Sample standard deviation, s = $9,500
a) First, we design the null and the alternate hypothesis
We use one-tailed(right) t test to perform this hypothesis.
c) Formula:
Putting all the values, we have
b) Rejection rule
If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.
Now,
Since,
We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income than the national average
There are two methods that can be used to write 0.368 in expanded form.
Method-1:
Take the first number after the decimal point and divide it by 10. Take the second number after the decimal point and divide it by 100. Take the third number after the decimal point and divide it by 1000. Lastly, add all of them.
Method-2:
Multiply first number after decimal point with 0.1; multiply second number after decimal point with 0.01; multiply third number after decimal point with 0.001, and add them all.
(3 * 0.1) + (6 * 0.01) + (8 * 0.001) = 0.368
Method-1:
Take the first number after the decimal point and divide it by 10. Take the second number after the decimal point and divide it by 100. Take the third number after the decimal point and divide it by 1000. Lastly, add all of them.
Method-2:
Multiply first number after decimal point with 0.1; multiply second number after decimal point with 0.01; multiply third number after decimal point with 0.001, and add them all.
(3 * 0.1) + (6 * 0.01) + (8 * 0.001) = 0.368