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 12
A 95% confidence interval for a mean is (10, 20). What does this mean?
A researcher claims that the average weight of apples is 150g. A sample of 25 apples has a mean of 145g and a standard deviation of 10g. Test the claim at the 0.05 significance level. (Use z = 1.96)
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. What is the 99% confidence interval for the mean? (Use z = 2.576)
A sample of 49 has a mean of 60 and a standard deviation of 14. What is the standard error of the mean?
A test has a significance level of 0.05. What is the probability of making a Type I error?
Calculate the 95% confidence interval for a population mean if the sample mean is 50, the standard deviation is 8, and the sample size is 64. (Use z = 1.96)
Explain the difference between a one-sample and a two-sample hypothesis test.
Explain the difference between a statistic and a parameter.
Explain the meaning of 'statistically significant'.
If the p-value is less than the significance level, what decision should be made regarding the null hypothesis?
What is a confidence interval?
What is meant by the term 'sampling distribution'?
What is the alternative hypothesis?
What is the main difference between a one-tailed and a two-tailed hypothesis test?
What is the main purpose of statistical inference?
What is the meaning of 'power of a test'?
