subject

Statistical Inference

Math ⇒ Statistics and Probability

Statistical Inference starts at 11 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Statistical Inference. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 11
A hypothesis test results in a p-value of 0.03. If the significance level is 0.05, what should you conclude?
A researcher wants to estimate the average height of students in a school. She measures the heights of 50 randomly selected students. What is the population in this context?
Explain the difference between Type I and Type II errors in hypothesis testing.
If a 95% confidence interval for the mean is (10, 20), what does this mean?
A hypothesis test results in a p-value of 0.03. If the significance level is 0.05, what should you conclude?
A researcher claims that the average time spent on homework is 2 hours per day. A sample of 25 students has a mean of 2.3 hours and a standard deviation of 0.5 hours. Test the claim at the 0.05 significance level. (Use t-distribution)
A researcher wants to estimate the average height of students in a school. She measures the heights of 50 randomly selected students. What is the population in this context?
A sample of 100 students has a mean score of 75 with a standard deviation of 10. Calculate the standard error of the mean.
Which of the following best describes a null hypothesis? (1) A statement that there is an effect (2) A statement that there is no effect (3) A statement about the sample (4) A statement about the data collection method
Which of the following is a point estimate of a population mean? (1) Sample mean (2) Population mean (3) Sample variance (4) Population variance
Which of the following is a two-tailed test? (1) H₀: μ = 50 vs H₁: μ ≠ 50 (2) H₀: μ = 50 vs H₁: μ > 50 (3) H₀: μ = 50 vs H₁: μ < 50 (4) H₀: μ > 50 vs H₁: μ < 50
Which of the following is an example of a parameter? (1) Sample mean (2) Population mean (3) Sample standard deviation (4) Sample proportion
Fill in the blank: If the p-value is less than the significance level, we ________ the null hypothesis.
Fill in the blank: The ________ is the set of all possible values of a statistic calculated from samples of the same size drawn from the same population.
Fill in the blank: The level of significance is usually denoted by ________.
Fill in the blank: The margin of error in a confidence interval depends on the standard error and the ________ value.
True or False: A sample mean is always equal to the population mean.
True or False: A Type II error occurs when we fail to reject a false null hypothesis.
True or False: Increasing the sample size generally decreases the width of a confidence interval.
True or False: The Central Limit Theorem states that the sampling distribution of the sample mean approaches a normal distribution as the sample size increases.