Yue Bing is a new intern at Linkedln. She has designed a new recommendation algorithm for connecting LinkedIn users to other users, and wants to see if it will cause an increase the average number of messages sent by Linkedln users. She will randomly sample one group of users from the LinkedIn network and set up their accounts so that they use the new recommendation algorithm. She will then randomly sample another group of users, who will operate on the regular recommendation algorithm. She determines how many messages are sent by users over the course of year. She ends up assigning 23 users to the new algorithm, and 38 users to the old algorithm. She provides you with some of her data, though it is incomplete. Sample Size Sample Mean Standard Deviation New23 34.4 ?? Old 38 27.3 3.1 She insists all assumptions necessary for a confidence interval for a difference between two appropriate means have been verified. What distribution would we use to determine the critical value of a 95% confidence interval using her sample data? O a. AZ distribution. O b. AT distribution with 22 degrees of freedom. O c. AT distribution with 37 degrees of freedom. O d. AT distribution with 60 degrees of freedom. O e. AT distribution with 38 degrees of freedom. O f. AT distribution with 23 degrees of freedom.

MATLAB: An Introduction with Applications
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Yue Bing is a new intern at Linkedln. She has designed a new recommendation algorithm for
connecting LinkedIn users to other users, and wants to see if it will cause an increase the
average number of messages sent by Linkedln users. She will randomly sample one group of
users from the LinkedIn network and set up their accounts so that they use the new
recommendation algorithm. She will then randomly sample another group of users, who will
operate on the regular recommendation algorithm. She determines how many messages are
sent by users over the course of year.
She ends up assigning 23 users to the new algorithm, and 38 users to the old algorithm. She
provides you with some of her data, though it is incomplete.
Sample Size Sample Mean Standard Deviation
New23
34.4
??
Old 38
27.3
3.1
She insists all assumptions necessary for a confidence interval for a difference between two
appropriate means have been verified. What distribution would we use to determine the critical
value of a 95% confidence interval using her sample data?
O a. AZ distribution.
O b. AT distribution with 22 degrees of freedom.
O c. AT distribution with 37 degrees of freedom.
O d. AT distribution with 60 degrees of freedom.
O e. AT distribution with 38 degrees of freedom.
O f. AT distribution with 23 degrees of freedom.
Transcribed Image Text:Yue Bing is a new intern at Linkedln. She has designed a new recommendation algorithm for connecting LinkedIn users to other users, and wants to see if it will cause an increase the average number of messages sent by Linkedln users. She will randomly sample one group of users from the LinkedIn network and set up their accounts so that they use the new recommendation algorithm. She will then randomly sample another group of users, who will operate on the regular recommendation algorithm. She determines how many messages are sent by users over the course of year. She ends up assigning 23 users to the new algorithm, and 38 users to the old algorithm. She provides you with some of her data, though it is incomplete. Sample Size Sample Mean Standard Deviation New23 34.4 ?? Old 38 27.3 3.1 She insists all assumptions necessary for a confidence interval for a difference between two appropriate means have been verified. What distribution would we use to determine the critical value of a 95% confidence interval using her sample data? O a. AZ distribution. O b. AT distribution with 22 degrees of freedom. O c. AT distribution with 37 degrees of freedom. O d. AT distribution with 60 degrees of freedom. O e. AT distribution with 38 degrees of freedom. O f. AT distribution with 23 degrees of freedom.
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