Final Examination in Statistics and Probability

The null and alternative hypothesis are statements about the significant difference between

• parameter and statistic

• parameter and sample size

• population size and statistic

• mean and standard deviation

Which of the following does not describe an alternative hypothesis?

• It is a hypothesis that has a statement of equality.

• It is a hypothesis that has a statement of inequality.

• It states a specific difference between a parameter and a statistic.

• It states that there is a difference between a parameter and a statistic.

Which of the following does not describe a null hypothesis?

• It is denoted by Ho.

• It is the hypothesis to be tested.

• It has a statement of equality.

• It states a specific difference between a parameter and a statistic.

What does level of significance mean in a hypothesis testing?

• Probability of calculating the hypothesized mean

• Probability of not rejecting the null hypothesis when it is false

• Probability of not calculating the hypothesized mean

• Probability of rejecting the null hypothesis when it is true

If the alternative hypothesis containes the symbol ">", where is the rejection region located?

• Center region

• Left end tail region

• Right end tail region

• Both end tail regions

A teacher claims that the mean math svore of all grade 11 students is 90. Where is the rejection region located?

• Center region

• Left end tail region

• Right end tail region

• Each end tail regions

What is the probability of rejecting the null hypothesis of a left-tailed test given the level of significance alpha=0.01?

• 0.01

• 0.05

• 0.001

• 0.005

Mr. Mojica claimed that his operators could finish their work in less than three hours. Which is the correct set of hypotheses to test his belief?

• Ho: u < or = 3; Ha: u > 3

• Ho: u > 3; Ha: u < 3

• Ho: u > or = 3; Ha: u < 3

• Ho: u = 3; Ha: u is not = to 3

A group of researchers wants to test the truth in the company's claim that the travel time from Magallanes to Manila takes an average of two hours. What are the possible Type I and Type II errors?

• Type I error will occur if the actual average travel time is two hours by Ho is rejected. Type II error will occur if the actual average travel time is not two hours but Ho is not rejected.

• Type I error will occur if the actual average travel time is two hours by Ho is not rejected. Type II error will occur if the actual average travel time is not two hours but Ho is not rejected.

• Type I error will occur if the actual average travel time is two hours by Ho is not rejected. Type II error will occur if the actual average travel time is not two hours but Ho is rejected.

• Type I error will occur if the actual average travel time is two hours by Ho is rejected. Type II error will occur if the actual average travel time is not two hours but Ho is rejected.

What corresponding value will be calculated when the t-test statistic is computed?

• Hypothesized population mean

• Hypothesized sample mean

• Standardized t-value

• Standardized z-value