Anutrition expert claims that the average american is overweight. to test his claim, a random sample of 27 americans was selected, and the difference between each person's actual weight and idea weight was calculated. for this data, we have x¯=15.6 and s=27.6. is there sufficient evidence to conclude that the expert's claim is true? carry out a hypothesis test at a 2% significance level.

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Ответ:

tylerharmsss

03.01.2020

Mathematics

Given:

$m \angle A B D=96^{\circ}$

$m \angle 2 =m \angle 1+ 26^{\circ}$

To find:

$m \angle 1$

Solution:

$m \angle DBC+ m \angle CBA = m \angle ABD$

$m \angle 1+ m \angle 2 = m \angle ABD$

Substitute $m \angle 2 =m \angle 1+ 26^{\circ}$ .

$m \angle 1+ m \angle 1 + 26^\circ = 96^\circ$

$2m \angle 1+ 26^\circ = 96^\circ$

Subtract 26° from both sides.

$2m \angle 1+ 26^\circ -26^\circ = 96^\circ -26^\circ$

$2m \angle 1 = 70^\circ$

Divide by 2 on both sides, we get

$m \angle 1=35^{\circ}$

Therefore, m∠1 = 35°.

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