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patriot [66]
3 years ago
13

How far is the cruise ship????PLEASE HELP!!!!

Mathematics
1 answer:
Westkost [7]3 years ago
8 0
X^2 = 300^2 + 175^2 - 2 (300)(175) cos 150
x^2 = 90000 + 30625 + 90932
x^2 = 211557
x = 459.95 miles
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Step-by-step explanation:

The 95% confidence interval is given by the interval

\large [\bar x-t^*\frac{s}{\sqrt n}, \bar x+t^*\frac{s}{\sqrt n}]

where

\large \bar x <em>is the sample mean  </em>

<em>s is the sample standard deviation  </em>

<em>n is the sample size (n = 7)  </em>

\large t^* is the 0.05 (5%) upper critical value for the Student's t-distribution with 6 degrees of freedom (sample size -1), which is <em>an approximation to the Normal distribution for small samples (n<30).</em>

Either by using a table or the computer, we find  

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\large [315-2.447*\frac{16}{\sqrt{7}}, 315+2.447*\frac{16}{\sqrt{7}}]=\boxed{[300.202,329.798]}

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