A 2016 study using data from over 95 million Twitter users found that the average Twitter user had 707 followers. A statistics student wants to test the hypothesis that students at his school who use Twitter average more than 707 followers. Using a survey, he collects data from a random sample of 48 students who use Twitter. From his survey data, the statistics student calculates that the mean number of Twitter followers for his sample is 742 with a sample standard deviation of 325. Required:
a. State which hypothesis test would be appropriate in this situation.
b. Is this a two-sided test or a one-sided test? Explain why?

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).