Videos
A/B testing allows business to test a new design or format for a web page to determine if the new web page is more effective than the current one. Web designers decide to create a new call-to-action button for a web page. Every visitor to the web page was randomly shown either call-to-action (the control) or the new variation. The metric used to measure success was the download rate; the number of people who download the five divided by the number who saw that particular call-to-action button. Results of the experiment yielded the following:
a. Compute the percentage of downloads for the original call-to-action button and the new call-to-action button.
b. Construct a bar chart of the percentage of downloads for the original call-to-action button and the new call-to-action button.
c. What conclusions can you reach concerning the original call-to-action button call-to-action button?
Web designer than create a new page design for a web page. Ever visitor to the web page was randomly shown either the original web design (the control) or new variation. The metric used to measure success was the download rate; the number of people who downloaded the file divided by the number of people who saw that particular web design. Results of the experiment yielded the following:
d. Compute the percentage of downloads for the original web design and the new web design.
e. Construct a bar chart of the percentage of downloads for the original web design and the new web design.
f. what conclusions can you reach concerning the original web design and the new web design?
g. Compare your conclusions in
web designers next next test two factors simultaneously-the call-to-action button and the new page design. Every visitor to the web page was randomly shown one of the following.
Old call-to-action button with original page design
New call-to-action button with original page design
Old call-to-action button with new page design
New call-to-action button with new page design
Again, the metric used to measure success was the download rate: the number who download the file number who saw that particular call-to-action button and web design. Results of the experiment yields the following:
h. Compute the percentage of downloads for each combination to call-to-action button the web design.
i. What conclusions can you reach concerning the original call to action button and the new call to action and the original web design and the new web design?
j. Compare your conclusions in
Want to see the full answer?
Check out a sample textbook solution
Chapter 2 Solutions
Basic Business Statistics, Student Value Edition
- Exercise 4.2 Prove that, if A and B are independent, then so are A and B, Ac and B, and A and B.arrow_forward8. Show that, if {Xn, n ≥ 1) are independent random variables, then sup X A) < ∞ for some A.arrow_forward8- 6. Show that, for any random variable, X, and a > 0, 8 心 P(xarrow_forward15. This problem extends Problem 20.6. Let X, Y be random variables with finite mean. Show that 00 (P(X ≤ x ≤ Y) - P(X ≤ x ≤ X))dx = E Y — E X.arrow_forward(b) Define a simple random variable. Provide an example.arrow_forward17. (a) Define the distribution of a random variable X. (b) Define the distribution function of a random variable X. (c) State the properties of a distribution function. (d) Explain the difference between the distribution and the distribution function of X.arrow_forward16. (a) Show that IA(w) is a random variable if and only if A E Farrow_forward15. Let 2 {1, 2,..., 6} and Fo({1, 2, 3, 4), (3, 4, 5, 6}). (a) Is the function X (w) = 21(3, 4) (w)+711.2,5,6) (w) a random variable? Explain. (b) Provide a function from 2 to R that is not a random variable with respect to (N, F). (c) Write the distribution of X. (d) Write and plot the distribution function of X.arrow_forward20. Define the o-field R2. Explain its relation to the o-field R.arrow_forward7. Show that An → A as n→∞ I{An} - → I{A} as n→ ∞.arrow_forward7. (a) Show that if A,, is an increasing sequence of measurable sets with limit A = Un An, then P(A) is an increasing sequence converging to P(A). (b) Repeat the same for a decreasing sequence. (c) Show that the following inequalities hold: P (lim inf An) lim inf P(A) ≤ lim sup P(A) ≤ P(lim sup A). (d) Using the above inequalities, show that if A, A, then P(A) + P(A).arrow_forward19. (a) Define the joint distribution and joint distribution function of a bivariate ran- dom variable. (b) Define its marginal distributions and marginal distribution functions. (c) Explain how to compute the marginal distribution functions from the joint distribution function.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning