Determine the test statistic. t=0 (Round to two decimal places as needed.)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.8: Rate-time-distance Problems
Problem 18P
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just the last part, I included the sample data

A researcher with the Department of Education followed a cohort of students who graduated from high school in a certain year, monitoring the progress the students
made toward completing a bachelor's degree. One aspect of his research was to determine whether students who first attended community college took longer to attain
a bachelor's degree than those who immediately attended and remained at a 4-year institution. The data in the table attached below summarize the results of his study.
Complete parts a) through e) below.
Click here to view the sample data.
Click here to view Student's t-distribution table.
r----- g -
YE. The samples are independent.
c) Does the evidence suggest that community college transfer students take longer to attain a bachelor's degree? Use an a = 0.01 level of significance. Perform a
hypothesis test. Determine the null and alternative hypotheses.
O A. Ho: Hcommunity college > Hno transfer: H;: Hcommunity college <Hno transfer
O B. Ho: Hcommunity college <Hno transfer: H1: Pcommunity college Hno transfer
O C. Ho: Hcommunity college = Hno transfer: H1:Hcommunity college > Pno transfer
O D. Ho: Hcommunity college = Hno transfer H;: Hcommunity college <Hno transfer
Determine the test statistic.
t=
(Round to two decimal places as needed.)
Transcribed Image Text:A researcher with the Department of Education followed a cohort of students who graduated from high school in a certain year, monitoring the progress the students made toward completing a bachelor's degree. One aspect of his research was to determine whether students who first attended community college took longer to attain a bachelor's degree than those who immediately attended and remained at a 4-year institution. The data in the table attached below summarize the results of his study. Complete parts a) through e) below. Click here to view the sample data. Click here to view Student's t-distribution table. r----- g - YE. The samples are independent. c) Does the evidence suggest that community college transfer students take longer to attain a bachelor's degree? Use an a = 0.01 level of significance. Perform a hypothesis test. Determine the null and alternative hypotheses. O A. Ho: Hcommunity college > Hno transfer: H;: Hcommunity college <Hno transfer O B. Ho: Hcommunity college <Hno transfer: H1: Pcommunity college Hno transfer O C. Ho: Hcommunity college = Hno transfer: H1:Hcommunity college > Pno transfer O D. Ho: Hcommunity college = Hno transfer H;: Hcommunity college <Hno transfer Determine the test statistic. t= (Round to two decimal places as needed.)
Community
College Transfer
No Transfer
253
1133
Sample mean time to
graduate, in years
Sample standard
5.35
4.41
1.174
1.011
deviation time to
graduate, in years
Transcribed Image Text:Community College Transfer No Transfer 253 1133 Sample mean time to graduate, in years Sample standard 5.35 4.41 1.174 1.011 deviation time to graduate, in years
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