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SCI1020 - Introduction to Statistical Reasoning - S2 2026
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The time to complete a standardized exam is approximately Normal with a mean of 70 minutes and a standard deviation of 10 minutes.
Using the 68–95–99.7 rule, if students are given 90 minutes to complete the exam, calculate what percent of students will NOT finish.
Enter your answer (number only) below:
As part of a database on new births at a hospital some variables recorded are the age of the mother, time of birth of the baby, weight of the baby, length of the baby and gender of the baby.
Classify these variables as either Qualitative or Quantitative variables.
The five-number summary of the ages of 18 teachers in a university maths department was found to be
(32, 39, 47.5, 58, 68)
If the eldest teacher retires and is replaced by a 26-year-old, the median age will
The level of various substances in the blood is known to influence our health. Below are measurements of the level of phosphate in the blood of a patient, in milligrams of phosphate per deciliter of blood, made on nine consecutive visits to a clinic.
5.6 | 5.2 | 4.6 | 4.9 | 5.7 | 6.4 | 5.9 | 6.7 | 4.2 |
Using the by-HAND manual ordering (not Excel), calculate the interquartile range (IQR) for this set of data in mg per dL. Enter only the number value below.
Remember that if the median is a data value we are taking the approach that it should NOT be included in each half for the quartiles.
The level of various substances in the blood is known to influence our health. Below are measurements of the level of phosphate in the blood of a patient, in milligrams of phosphate per deciliter of blood, made on nine consecutive visits to a clinic.
5.6 | 5.2 | 4.6 | 4.9 | 5.7 | 6.4 | 5.9 | 6.7 | 4.2 |
Calculate the standard deviation for this set of data in mg per dL.
Enter your answer, corrected to 2 decimal places, below:
A researcher used a new drug to treat 100 subjects with high cholesterol. For the patients in the study, after two months of treatment the average decrease in cholesterol level was 80 milligrams per decilitre (mg/dl). Assume that the decrease in cholesterol after two months of taking the drug follows a Normal distribution, with unknown mean μ and standard deviation σ = 20 mg/dl. The researcher will construct a 90% confidence interval to estimate μ.
The margin of error associated with a 90% confidence interval for the researcher's 90% confidence interval for μ is
When should you reject the null hypothesis?
A very small p-value indicates:
A researcher studies the effect of a new training program on test scores. The change in test score is defined as
Change=Score after training−Score before training.
A 95% confidence interval for the mean change in test scores is (−4,−2.5). Which of the following is the best interpretation of this confidence interval?