HYPOTHESIS TESTING QUIZ

PROBLEM 1: It is assumed that the mean IQ is 100. In a study conducted by a researcher, a sample of 19 people had an average IQ of 110 with a standard deviation of 15. Is the group significantly different from the regular population? Use α = 0.10

STATE THE HYPOTHESIS TO BE TESTED.

• H₀: μ = 100

  H_a: μ ≠ 100

• H₀ : μ > 100

  H_a : μ < 100

• H₀ : μ ≤ 100

  H_a : μ < 100

• H₀ : μ ≥ 100

  H_a : μ < 100

PROBLEM 1: It is assumed that the mean IQ is 100. In a study conducted by a researcher, a sample of 19 people had an average IQ of 110 with a standard deviation of 15. Is the group significantly different from the regular population? Use 0.10 level of significance.

WHAT IS THE VALUE OF YOUR ALPHA LEVEL?

• α = 0.01

• α = 0.05

• α = 0.10

• α = 0.15

PROBLEM 1: It is assumed that the mean IQ is 100. In a study conducted by a researcher, a sample of 19 people had an average IQ of 110 with a standard deviation of 15. Is the group significantly different from the regular population? Use α = 0.10

WHAT TYPE OF TEST WILL BE USE IN THIS PROBLEM?

• DIRECTIONAL TEST

• RIGHT TAILED TEST

• LEFT TAILED TEST

• NON - DIRECTIONAL TEST

PROBLEM 1: It is assumed that the mean IQ is 100. In a study conducted by a researcher, a sample of 19 people had an average IQ of 110 with a standard deviation of 15. Is the group significantly different from the regular population? Use α = 0.10

WHAT TEST STATISTICS WILL BE USE IN THIS PROBLEM?

• A - TEST

• C - TEST

• T - TEST

• Z -TEST

PROBLEM 1: It is assumed that the mean IQ is 100. In a study conducted by a researcher, a sample of 19 people had an average IQ of 110 with a standard deviation of 15. Is the group significantly different from the regular population? Use α = 0.10

WHAT IS THE SAMPLE SIZE?

• 15

• 19

• 100

• 110

If the degree of freedom is 18 and the α = 0.10. What is the critical value?

(REFER TO THE GIVEN TABLE)

• 1.330

• 1.734

• 2.101

• 2.552

If μ = 100 , 𝑥 = 110, n = 19 and s = 15. What will be the value of t ?

• • - 1.91

• • - 2.91

• 1.91

• 2.91

"If the critical value is 1.330 and the test value is 2.91, using a two-tailed test, what decision should we make?"

• Accept the Null Hypothesis

• Reject the Null Hypothesis

• Accept the Alter Hypothesis

• Reject the Alternative Hypothesis