Answer:
<u>Step 1: Determine why circle 1 is similar to circle 2</u>
The reason why circle 1 is similar to circle 2 is that they both expand at the same rate. While x grows larger, both circle 1 and circle 2 grow at a proportional rate. Circle 2 grows is 5 times bigger than circle 1 given any value 5.
<u>When x = 3:</u> circle 1 = 6 and circle 2 = 30
<u>When x = 10:</u> circle 1 = 20 and circle 2 = 100
Answer:
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As the level of significance here is 0.05 because we are comparing the p-value with 0.05. Therefore the critical region boundaries here would be given as:
For 5 degrees of freedom, we get: ( from the t-distribution tables )
P(t_5 < 2.571) = 0.975
Therefore due to symmetry, we get:
P(-2.571 < t_5 < 2.571) = 0.95
Therefore the critical region here would be given as: +2.571 and -2.571