Statistical Inference
Math ⇒ Statistics and Probability
Statistical Inference starts at 11 and continues till grade 12.
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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 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.
A sample of 36 has a mean of 80 and a standard deviation of 12. Construct a 95% confidence interval for the mean. (Use z = 1.96)
A sample of 49 has a mean of 100 and a standard deviation of 14. What is the standard error of the mean?
A sample of 64 has a mean of 50 and a standard deviation of 8. What is the 90% confidence interval for the mean? (z = 1.645)
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?
What does a 99% confidence level mean in the context of confidence intervals?
What is a confidence interval?
What is meant by the power of a statistical test?
What is the difference between a parameter and a statistic?
What is the formula for the standard error of the mean?
What is the main difference between a one-tailed and a two-tailed test?
What is the main purpose of statistical inference?
