Statistics Homework Due 7:45 am Wednesday September 30 Please print your name here: Instructions: Look on Moodle for an Excel spreadsheet entitled Data for Homework 1. Use the data to complete this...

Homework


Statistics Homework Due 7:45 am Wednesday September 30 Please print your name here: Instructions: Look on Moodle for an Excel spreadsheet entitled Data for Homework 1. Use the data to complete this worksheet. All work and answers must appear on this sheet; I will not read any other sheets. This assignment is worth 100 points but is treated as a quiz. The data represent an (imaginary) sampling of the number of hours that undergraduates studied for an exam. 1. Please report these summary statistics: Mean Median Mode Q1 Q2 Q3 IQR Max Min s n 2. Please report the upper outlier boundary. Show your work. Is the max an outlier? 3. Please report a 95% confidence interval for µ, the true but unknown population mean amount of time undergraduates studied for an exam. Show the formula, then your interval. As part of your answer, please interpret the number 95%. 4. Please use the data to test H0: µ = 3 against the two-sided alternative: a. What is the test statistic? b. What is the critical value? c. What is your conclusion, and possible type of error? d. In this space please draw an appropriate graph, indicating the test statistic and critical number, and shading the p region. 5. Repeat the previous but use the right-tailed alternative H1: µ > 3. a. What is the test statistic? b. What is the critical value? c. What is your conclusion, and possible type of error? d. In this space please draw an appropriate graph, indicating the test statistic and critical number, and shade the p region.