Finаl Exаm Questiоns A reseаrcher wants tо study whether the number оf hours students work per week is related to their exam performance. Identify the variables involved and classify each as categorical or quantitative. Describe one appropriate graphical display for this data. A dataset has a mean of 60, a median of 65, and several low outliers. Describe the likely shape of the distribution. Which measure of center is more representative? Explain why. A basketball player makes 75% of their free throws. Would a binomial model be appropriate for modeling the number of free throws made in 12 attempts? State one assumption required for this model. A probability calculation results in a value of 0.04. Explain what this probability represents in words. Give one real-world situation where a probability like this might occur. Heights of adult men are approximately normally distributed with a mean of 70 inches and a standard deviation of 3 inches. Calculate the z-score for a man who is 76 inches tall. Interpret this z-score in context. Explain why a normal model would not be appropriate for a strongly right-skewed distribution. Describe one possible consequence of using a normal model anyway. A random sample of 49 observations has a mean of 84 and a standard deviation of 14. Construct a 95% confidence interval for the population mean. Interpret the interval in context. A hypothesis test produces a p-value of 0.01. State an appropriate conclusion at the 5% significance level. Explain what this p-value tells us about the evidence against the null hypothesis. A study finds a statistically significant increase of 1 point on a 100-point exam. Explain why this result may or may not be practically important. Consider a research question of your choice from the course. Identify the appropriate statistical method to address the question. Explain why this method is appropriate and name one key assumption.
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