Statistics and Probability

Which of the following describes the level of significance?

• It is the probability of making the wrong decision when the null hypothesis is true.

• It gives us the confidence level in accepting or rejecting the null hypothesis.

• It is the probability of the given sample size.

• It is the confidence level in accepting

• None of the above

When the given alternative hypothesis is directional, it is?

• One-Tailed

• Two-Tailed

• Either one-tailed or two-tailed

• Neither one-tailed nor two-tailed

• Both one tailed and two tailed

In hypothesis testing, what is the last thing to be done?

• Determine the critical value of the given problem.

• 
  Formulate your null and alternative hypotheses.

• Present your findings/conclusions

• Decide whether to accept or reject the null hypothesis.

It is the type of hypothesis that shows no significant difference between two parameters, and is denoted by Ho.

• Type 1 error

• Type 2 error

• Null hypothesis

• Alternative hypothesis

• Rejection Region

Based on the report of the school nurse, the average weight of Grade 11 students has increased. Two years ago, the average weight of Grade 11 students was 40 kg with a standard deviation of 6kg. She took a random sample of 100 students and derived the average weight is 45kg. What are the appropriate test statistics to be used in this problem?

• Z- test

• T- test

• F- test

• N- test

• W- test

A researcher want sto determine if a new teaching method improves student test scores. A random sample of 25 student is selected, and their test scores after the new teaching method are recorded. The mean test score for this sample is 80 with a standard deviation of 10. What is the appropriate test statistics to be used in the problem?

• Z-test

• T-test

• F-test

• N-test

• W-test

The mean weight of a population of oranges is claimed to be 170 grams and has a standard deviation of 5grams. A sample of 16 oranges is selected, and their mean weight is found to be 135 grams with a standard deviation of 8 grams. What are the appropriate test statistics to be used in this problem?

• Z-test

• T-test

• F-test

• N-test

• W-test

A researcher wants to determine if there is a difference in the variance of test scores between the experimental and control group. She conducted a pretest-posttest of 25 students in each group. What is the appropriate test statistics to be used in this problem?

• T-test

• Z-test

• F-test

• N-test

• W-test

A random sample of 25 pineapples in the Del Monte factory is selected, and their weights is found to be 2.5kg with a sample standard deviation of 1.2 kg. Does the average weight of the pineappple is not equal to 3kg? Test whether the company's claim is true at a significant level of 0.05. What is the null and the alternative hypotheses?

• Ho: μ=3kg and Ha: μ<3kg

• Ho: μ=3kg and Ha: μ>3kg

• Ho: μ=3kg and Ha: μ≠3kg

• Ho: μ=3kg and Ha: μ≤3kg

• H: μ=3kg and Ha: μ≥3kg

What is the critical region?

• |z| > 1.645

• |z| > 1.96

• |z|> 2.575

• |t|>1.711

• |t|> 2.064