Name, Review #6 Chapters 8, 9 & 10 Math 13 WorkUnits 19 15 16 1) Test for a line
ID: 3312862 • Letter: N
Question
Name, Review #6 Chapters 8, 9 & 10 Math 13 WorkUnits 19 15 16 1) Test for a linear correlation between the number of hours a student works and the number of units taken 0 0 0 0 0 0 14 16 17 17 16.5 15 17.5 15 2) Predict the amount of hours that a student is working if you know they are taking 12 units 13 14.5 20 16 18 17 12 12 17.5 20 20 20 20 20 20 20 20 20 23 25 Test the claim that Hartmell students work at least 30 hours per week 15.5 17 14 15 17 15 25 25 25 26 27 28 28 28 30 30 4) Test the clam that half of Hartnell students take at least 12 units using a 98%aandence level 14 12 14 14 12 14 14.5 30Explanation / Answer
1) Ans: Pearson correlation of work and unit = -0.471
P-Value = 0.006
Comment: The estimated p-value is 0.006. Hence, we can conclude that there is significant correlation between work and unit at 0.05 level of significance.
2) Ans:
Regression Analysis: work versus unit
The regression equation is
work = 43.6 - 1.74 unit
Predictor Coef SE Coef T P
Constant 43.612 8.565 5.09 0.000
unit -1.7407 0.5848 -2.98 0.006
S = 8.80615 R-Sq = 22.2% R-Sq(adj) = 19.7%
The amount of hours that a student is working 12 unit is
work = 43.6 - 1.74 *12=22.72
3) Ans:
One-Sample T: work
Test of mu = 30 vs > 30
95% Lower
Variable N Mean StDev SE Mean Bound T P
work 33 18.53 9.83 1.71 15.63 -6.70 1.000
The estimated p-value is 1. Hence, we can not reject the null hypothesis and conclude that Hartmell students did not work at least 30 hours per week at 98% CI.
4) Ans:
One-Sample T: unit
Test of mu = 12 vs > 12
95% Lower
Variable N Mean StDev SE Mean Bound T P
unit 33 14.409 2.662 0.463 13.624 5.20 0.000
Comment: The estimated p-value is 0.0000. Hence, we can conclude that Half of the Hartmell students take at least 12 units at 98% CI.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.