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, YD. The samples are independent. YE. The samples can be reasonably assumed to be random. 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: H1: Hoommunity college Pno transfer O C. Ho: Hcommunity college > Hno transfer H1: Hoommunity college Pno transfer Determine the test statistic.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![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.
D. The samples are independent.
E. The samples can be reasonably assumed to be random.
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: H1: Hcommunity college <Hno transfer
O B. Ho: Hcommunity college < Hno transfer: H1: Hcommunity college > Hno transfer
O C. Ho: Hcommunity college > Hno transfer: H1: Hcommunity college <Hno transfer
OD. Ho: Hcommunity college = Pno transfer H: Pcommunity college Pno transfer
Determine the test statistic.
t=
(Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F435db148-5a51-44cd-9310-463db85843df%2Ff0e8f413-bc24-4093-9c47-a3f9fd1fd46f%2Febnzca_processed.png&w=3840&q=75)
![sample data
Community
College Transfer
No Transfer
256
1150
Sample mean time to
graduate, in years
Sample standard
5.45
4.44
1.168
1.024
deviation time to
graduate, in years](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F435db148-5a51-44cd-9310-463db85843df%2Ff0e8f413-bc24-4093-9c47-a3f9fd1fd46f%2F5pkvwr6_processed.png&w=3840&q=75)
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