3. The Wonderlic Personnel Test tests general mental ability. The national average for the Wonderlic Personnel Test is 33 with a standard deviation of 6. Dr. Cravin, a physics professor,
is confident that his PHYS 320 class would score higher than the national average on the
Wonderlic Personnel Test. Dr. Cravin randomly sampled 10 students from his class and had
them take the test (scores reported below). Does Dr. Cravin's class score higher than the national
average on the Wonderlic Personnel Test? Set alpha equal to 0.05.
29, 34, 36, 32, 34, 33, 42, 40, 30, 32
(2 points)
3a. Write the null and alternative hypotheses in symbols.
Hoi u=33
Hi: M 33
3b. Set up the decision criteria. That is, find the critical value(s).
(1 point)
3c. Compute the appropriate test statistics. Show your work.
(3 points)
3d. Based on your results, evaluate the null hypothesis. (circle one)
(1 point)
Reject
Fail to reject
3e. State your conclusion in words.
(1 point)

lo98765432wqasdfghjkloi87654567890

step-by-step explanation:

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9

answer is 1

step-by-step explanation: