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?
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'.
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 researcher wants to estimate the average height of students in a school. She selects a random sample of 50 students. Is this an example of statistical inference? Yes or No.
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 no effect or difference (2) A statement that there is an effect or difference (3) A statement about the sample only (4) A statement about the data collection method
Which of the following increases the width of a confidence interval? (1) Increasing the sample size (2) Decreasing the sample size (3) Decreasing the confidence level (4) Increasing the population mean
Which of the following is a correct interpretation of a 90% confidence interval? (1) There is a 90% chance that the population parameter is in the interval (2) 90% of all possible samples will produce intervals that contain the parameter (3) The sample mean is in the interval with 90% probability (4) The population mean is always in the interval
Which of the following is a point estimate for the population mean? (1) Sample mean (2) Population mean (3) Sample variance (4) Population variance
Fill in the blank: The ________ hypothesis is the hypothesis that is tested in a statistical test.
Fill in the blank: The ________ is the probability of failing to reject the null hypothesis when it is false.
Fill in the blank: The ________ is the set of all possible values of a statistic from all possible samples of a given size.
Fill in the blank: The probability of making a Type II error is denoted by ________.
A researcher wants to estimate the average height of students in a school. She selects a random sample of 50 students. Is this an example of statistical inference? Yes or No.
True or False: A larger sample size reduces the standard error of the mean.
True or False: A parameter is a numerical summary of a sample.
True or False: Increasing the sample size generally leads to a more precise estimate of the population parameter.
