Statistics and Probability Quiz #4

1. 1. What are the two common parameters of normal distribution?

• 𝜇 and 𝜎

• 𝜎 and 𝑝

• 𝑝 and 𝜇

• 𝑝 hat and 𝑝

2. 2. If the computed z-value is – 1.290 and the critical value is – 2.571, which of the following statements could be true?

• It lies in the rejection region, 𝐻𝑜 must be rejected.

• It lies in the rejection region, we failed to reject 𝐻𝑜.

• It lies in the non-rejection region, 𝐻𝑜 must be rejected.

• It lies in the non-rejection region, we failed to reject 𝐻o

3. 3. A researcher thinks that if expectant mothers use vitamins, the birth weight of the babies will increase. The average birth weight of the population is 3.9 kgs. What is the alternative hypothesis?

• 𝐻𝑎: 𝜇 > 3.9

• 𝐻𝑎: 𝜇 < 3.9

• 𝐻𝑎: 𝜇 = 3.9

• 𝐻𝑎: 𝜇 ≠ 3.9

4. 4. A teacher in Math announced that the mean score of Grade 9 students in the first quarterly assessment in Mathematics was 89 and the standard deviation was 6. One student, who believed that the mean score was less than this, randomly selected 30 students and computed the mean score. What kind of test of hypothesis can describe this?

• left-tailed

• two-tailed

• right-tailed

• multiple-tailed

5. 5. If in a sample n=16 selected from a normal population, 𝑥̅= 56 and 𝑠 = 12, what

   statistical test is applicable to be used?

• f-test

• z-test

• t-test

• Central Limit Theorem

6. 6. What is the correct alternative hypothesis in sentence form of the statement:  Ha: p ≠ 0.21?

• The proportion of male in a certain barangay is 21%.

• The proportion of male in a certain barangay is fewer by 21%.

• The proportion of male in a certain barangay is different from 21%.

• The proportion of male in a certain barangay has increased by 21%.