Question

URGENT!!!
Can you please solve this example in 50 minutes.

Some researchers were interested in whether people of different professions differ in cognitive abilities. Therefore, they applied a test of special abilities on a random sample of 50 graduate engineers of architecture and a random sample of 50 BHS language professors, where the following descriptive indicators were determined: in the sample of architectural engineers average 120 with standard deviation 10 and in the sample of Croatian language teachers average 109 with standard deviation 12. What is conclusion? First type error is 5%.

a)    Hypotheses for this statistical tests are:

a.     H₀: µ = µ₀ / H₁: µ ≠ µ₀

b.    H₀: µ₁ = µ₂ / H₁: µ₁ ≠ µ₂

c.     H₀: P = P ₀ / H₁: P ≠ P ₀

d.    H₀: P₁ = P ₂ / H₁: P₁ ≠ P ₂

b)    Standard error (or estimation for standard error) for this statistical test is ________.

c)    Theoretical value according to appropriate theoretical probability distribution has absolute value_______.

d)    Empirical value according to results from sample has absolute value _______.

e)    Conclusion is:

a.     empirical value < theoretical value -> reject null and accept alternative hypotheses, people of different professions differ in cognitive abilities

b.    empirical value ownstheoretical value-> there is no evidence to reject hull hypotheses, people of different professions do not differ in cognitive abilities

c.     empirical value  > theoretical value -> non reject null hypotheses, people of different professions do not differ in cognitive abilities

d.    empirical valuenotintheoretical value -> reject null and accept alternative hypotheses, people of different professions differ in cognitive abilities

Answer 1