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deaerionharper
31.08.2020 •
Mathematics
Square root 50 as a decimal
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Ответ:
Ответ:
a.) $50188 to $57812
Step-by-step explanation: Confidence Interval (CI) is an interval of values in which we are confident the true mean is in.
The interval is calculated as
x ±![z\frac{s}{\sqrt{n} }](/tpl/images/0966/4453/70c54.png)
a. For a 95% CI, z-value is 1.96.
Solving:
54,000 ±![1.96.\frac{6000}{\sqrt{12} }](/tpl/images/0966/4453/cf55a.png)
54,000 ±![1.96\frac{6000}{3.464}](/tpl/images/0966/4453/f60b3.png)
54,000 ± 1.96*1732.102
54,000 ± 3395
This means the interval is
50605 < μ < 57395
With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or from 50188 to 57812$.
b. The mean starting salary for college students in 2017 is $50,516, which is in the confidence interval. Therefore, since we 95% sure the real mean is between 50188 and 57812, there was no significant change since 2017.