Subject: Statistics and Probability

Course: MT 143

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Q5. A student records the time (in minutes) that it takes to commute to school for six days. Assume that these six days can be considered a random draw from a normally distributed population. The average commuting time in those six days was 18.2 minutes with a sample standard deviation of 5.34 A. To construct a 90% confidence interval for the population mean commute time, should you refer to the t distribution or to the standard normal distribution? Explain. (3 points) B. Construct a 90% confidence interval for the population mean commute time and interpret it in context. (3 points) C. Without doing any additional calculations, intuitively describe how an increase in the sample size changes the width of the confidence interval. (2 points) D. Without doing any additional calculations, intuitively describe how an increase in the confidence level changes the width of the confidence interval. (2 points)