Homework Answers
(a) The response variable is the time to graduate. The explanatory variable is the use of community college or not.
(b) The sample sizes are not more than 5% of the population.
The samples are independent.
The samples can be reasonably assumed to be random.
The sample sizes are large (both greater than or equal to30).
(c) Option C
t = 14.02
P-value = 0.000
Reject, does
(d) 0.856 to 1.244
(e) Yes
| Transfer | No Transfer | |
| 5.32 | 4.27 | mean |
| 1.132 | 1.013 | std. dev. |
| 273 | 1119 | n |
| 385 | df | |
| 1.05000 | difference (Transfer - No Transfer) | |
| 0.07491 | standard error of difference | |
| 0 | hypothesized difference | |
| 14.018 | t | |
| 1.17E-36 | p-value (one-tailed, upper) | |
| 0.856 | confidence interval 99.% lower | |
| 1.244 | confidence interval 99.% upper | |
| 0.19391 | margin of error |
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(a) Determine the test statistic (t =
?). Round to two decimal places as needed.
(b) Construct a 90% confidence interval for
μcommunity college − μno transfer to
approximate the mean additional time it takes to complete a
bachelor's degree if you begin in community college. The bounds of
a (1 − α) • 100% confidence interval about μ1 −
μ2 can be found using the following formulas, where
tα/2 is the critical value. Round to six decimal places
as...
t-Distribution Area in Right Tail
Degrees of Freedom 0.25 0.2
0.15 0.10 0.05
0.025 0.02 0.01
0.005 0.0025 0.001 0.0005
1 1.000 1.376 1.963
3.078 6.314 12.706
15.894 31.821 63.657
127.321 318.309 636.619
2 0.816 1.061 1.386
1.886 2.920 4.303
4.849 6.965 9.925
14.089 22.327 31.599
3 0.765 0.978 1.250
1.638 2.353 3.182
3.482 4.541 5.841
7.453 10.215 12.924
4 0.741 0.941 ...
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(c) Construct a 90% confidence interval for
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approximate the mean additional time it takes to complete a
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