Practice Exam – Analytics (Part 2)

Your town is known for its coffee shops. The local news released a report last year that locals coffee shop preference is 40% for Java Jolt, 35% for Brew Crew, and 25% for Caffeine Corner. You’re curious if this is still the case, so you conduct a random survey of 60 locals. Is there evidence, at an alpha level of 0.05, to suggest that coffee shop preference in town has changed?

University XYZ students are divided when it comes to their preferred mode of transportation to campus. Last year’s report shows that 40% prefer biking, 30% prefer using the campus shuttle, 20% like to walk, and 10% used personal cars. You’re curious if this is still true, so you survey 50 random students. Is there evidence, at an alpha level of 0.01, to suggest that the transportation preference among students has changed?

Crammer Nation University is known for its intramural sports. The Athletic Office wonders if a student’s choice of sport has any bearing on their major. They conduct a random survey of 80 students. At an alpha level of 0.05, is there evidence to suggest that the choice of sport and student major are not independent?

It’s midterms week at your school, and the Psychology Department wants to know if stress levels are related to whether a student has multiple midterms. They survey 60 random students. Using an alpha level of 0.05, determine if having multiple midterms and stress level are independent of each other.

Your university wants to predict the “Attendance” at a student organization’s event based on the “Social Media Posts” made by that organization in the weeks leading up to the event. They sample 30 student organizations and their events over the semester, running the numbers through regression analysis.

Make the prediction for sign-ups when a student organization has posted 3 times over the past week.

Your university wants to predict the “Sign-Ups” at a student organization receives at mega fair based on the social media “Posts” made by that organization throughout the semester. They sample 30 student organizations, resulting in the following regression analysis.

Select the choices that represent the population regression equation.

Your university wants to predict the “Attendance” at a student organization’s event based on the “Social Media Posts” made by that organization in the weeks leading up to the event. They sample 30 student organizations and their events over the semester, running the numbers through regression analysis.

Select the choices that represent the prediction regression equation.

Your university wants to predict the “Sign-Ups” at a student organization receives at mega fair based on the social media “Posts” made by that organization throughout the semester. They sample 30 student organizations, resulting in the following regression analysis.

Interpret the meaning of the “Posts” (b1) coefficient.

Your university wants to predict the “Sign-Ups” at a student organization receives at mega fair based on the social media “Posts” made by that organization throughout the semester. They sample 30 student organizations, resulting in the following regression analysis.

Interpret the meaning of the “Intercept” (b0) coefficient.

Your university wants to predict the “Sign-Ups” at a student organization receives at mega fair based on the social media “Posts” made by that organization throughout the semester. They randomly sample 30 student organizations, resulting in the following regression analysis.

Find the 95% confidence interval for the true slope of β_Posts.

Your university wants to predict the “Sign-Ups” at a student organization receives at mega fair based on the social media “Posts” made by that organization throughout the semester. They randomly sample 30 student organizations, resulting in the following regression analysis.

Find the 95% confidence interval for the true µ_Sign-Up for student organizations that posted 6 times over the semester, given the mean posts during the semester were 8.

Your university wants to predict the “Sign-Ups” at a student organization receives at mega fair based on the social media “Posts” made by that organization throughout the semester. They randomly sample 30 student organizations, resulting in the following regression analysis.

Find the 95% prediction interval for the true µ_Sign-Up for student organizations that posted 6 times over the semester, given the mean posts during the semester were 8.

Your university wants to predict the “Sign-Ups” at a student organization receives at mega fair based on the social media “Posts” made by that organization throughout the semester. They randomly sample 30 student organizations, resulting in the following regression analysis.

Is there a meaningful, linear relationship between “Sign-Ups” and “Posts”? Provide support for your claim using a hypothesis test with an alpha level of 0.05.

Your university wants to predict the “Sign-Ups” at a student organization receives at mega fair based on the social media “Posts” made by that organization throughout the semester. They randomly sample 30 student organizations, resulting in the following regression analysis.

Is there a meaningful, linear relationship in this model? Provide support for your claim using a hypothesis test with an alpha level of 0.05.