At BYU-Idaho there has been a lot of interest in the performance of students in online classes. Generally, administrators are interested to know if there is a difference in the learning of students who take an online course compared to those who take a traditional course. A study was done to see if the grade received in the course is related to the type of course. Researchers collected the grades of students in a traditional Business Statistics class and compared those with the grades earned by students in an online Business Statistics class. Using the data below, determine if a student's grade is affected by the type of course he or she is enrolled in. Use a level of significance of LaTeX: α = 0.05.

Are the requirements satisfied to conduct a hypothesis test? If they are not, complete the remainder of the problems anyway.

a. Yes, the sample size is large (207)
b. No, the sample size is too small for multiple cells in the table
c. No, not all the expected counts are greater than 5
d. Yes, all of the expected counts are greater than or equal to 5

d. Yes, all of the expected counts are greater than or equal to 5

Step-by-step explanation:

Yes, the requirements satisfied to conduct a hypothesis test and all of the expected counts are greater than or equal to 5.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1