STATISTICS AND PROBABILITY

1. In formulating the alternative hypothesis, what mathematical symbol is applicable to use in the statement, “The average score of Grade 11 (STEM) in Statistics and Probability is 75.”?

• A <

• B. >

• C. =

• D. ≠

2. Consider this statement: “New cars are expected to last an average of at least three (3) years before needing major service.” Which of the following is the null hypothesis?

• A.𝐻𝑜:μ≤3

• B. 𝐻𝑜:μ<3

• C. 𝐻𝑜:μ>3

• D. 𝐻𝑜:μ ≥3

3. Which is the correct null hypothesis of the claim below? “Students take an average of less than five (5) years to graduate from college.”

• A.𝐻𝑜:μ=5

• B. 𝐻𝑜:μ<5

• C. 𝐻𝑜:μ≠5

• D. 𝐻𝑎:μ<5

4 What notation is used to express the null hypothesis?

• A. 𝐻𝑜

• B. 𝐻𝑎

• C. μ

• D. x

1. The average waiting time of all customers in a restaurant before being served is less than 20 minutes. Determine what was the claim?

• a. 𝐻𝑎: 𝝁 ≠ 𝟐𝟎

• b. 𝑯𝑎 ∶ 𝝁 ≥ 𝟐0

• c. 𝐻𝑎: 𝝁 < 𝟐𝟎

• d 𝐻𝑎: 𝝁 = 𝟐𝟎