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# A researcher with the Department of Education followed a cohort of students who graduated from high school in a certain year , monitoring the...

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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 al through &amp; ) below .
Click here to view the sample data .
Click here to view Student's +- distribution table*
a ) What is the response variable in this study ? What is the explanatory variable ?
WA. The response variable is the time to graduate . The explanatory variable is the use of community college or not .
~) B . The response variable is the use of community college or not . The explanatory variable is the time to graduate .
CC. The response variable is the number of students . The explanatory variable is the time to graduate .
~` D. The response variable is the time to graduate . The explanatory variable is the number of students .
6 ) Explain why this study can be analyzed using inference of two sample means . Select all that apply .
J A. The sample sizes are not more than 5% of the population .
J B . The samples are independent .
DE. The sample sizes are large ( both greater than or equal to 301.
~] D . The samples can be reasonably assumed to be random . E . The population is given to be normally distributed .
Click to select your answer ('s ) .

Community
NO Transfer
College Transfer
252
1 162
Sample mean time to
5. 42
4. 48
graduate , in year's
Sample standard
1. 15.5
1. 003
deviation time to
graduate , in year's

right tail
I - Distribution
Army in Height Tail
Freedom
11. 75
11.1.5
1. 10
11.15
11. 1175
11.112
11.10125
1.375
3.07B
\$. 314
12. THE
15. 8014
31. 821
127.321
31 8300
J.BIG
1.0151
I.EBE
4. 3013
0. 765
14. 0185
72.727
31.5[A]
U.OTB
1. 250
L.EBB
2.353
2. 48]
4. 541
5. 8:41
7.453
10. 215
12.5124
71.741
1.041
1.190
1.532
2.172
2. THE
2.090
3.747
5.508
BELL
1.15 5
1.476
2.015
2.571
2.757
2. 35.5
ELL'T
1. 134
1. 41}
1.543
2.417
2.617
LOL'E
3. 143
+ 317
5. 20 0
0.71 1
1. 110
1. 415
1. 805
2.517
5. 4[18
1. 10B
1.307
1. BELL
2.410
2.35 5
4. 5071
5. 0141
1. 1010
1.383
1.873
2.202
2.30 8
2. 821
3. 250
4. 707
4. ]BY
U.TOO
C.BID
1. [}}
1.373
1. BIZ
2. 228
2.750
\$581
4. 144
1 1
UBTE
1.353
12
2. 2011
2.328
3. 457
4. 437
1.356
2. 170
2.3013
2.0195
3, 428
4. 3 18

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 &amp; ) below .
Click here to view the sample data .
Click here to view Student's t- distribution table .
Should the hypothesis be rejected ?
&quot; the null hypothesis . The evidence*
\+\ suggest that community college transfer students take longer to attain a bachelor's degree .
* ) Construct a 95%' confidence interval for Hcommunity college - Hno transfer to approximate the mean additional time it takes to complete a bachelor's degree if you
begin in community college .
The confidence interval is the range from \\ to \\
'Round to three decimal places as needed . !&quot;
* ) Do the results of parts c ) and dj imply that community college causes you to take extra time to earn a bachelor's degree ?
NO
Yes
flick to select your answer/s ) .

C ) Does the evidence suggest that community college transfer students take longer to attain a bachelor's degree ? Use an * = 0. 05 level of significance . Perform a hypothesis test . Determine the null and alternative*
Hypotheses .
A. HO : Hcommunity college= Hno transfer * \1 . Hcommunity college ?` Ano transfer*
@ B. HO : Hcommunity college* Hno transfer , 1 : Hcommunity college ?` Hno transfer
CC. HO : Hcommunity college ? Hno transfer . 1 . Hcommunity college{ Hno transfer
CD. HO: Hcommunity college*= Hno transfer . \1 : Hcommunity college S Hno transfer
Determine the test statistic .
=\\ ( Round to two decimal places as needed . !&quot;
Determine the critical value ('s ) . Select the correct choice below and fill in the answer box les ) within your choice .
( Round to three decimal places as needed . !&quot;
~] A. The critical value is\\
@) B . The lower critical value is\\ . The upper critical value is|*
Should the hypothesis be rejected ?*
I the null hypothesis . The evidence
*\ suggest that community college transfer students take longer to attain a bachelor's degree .
` ) Construct a 95% confidence interval for Hcommunity college - Hno transfer to approximate the mean additional time it takes to complete a bachelor's degree if you begin in community college*

a) A. b) the popn is given to be normally distributed.  samples are... View the full answer

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