It is suggested by college mathematics instructors that students spend 2 hours outside class studying for every hour in class. So, for a 4-credit-hour math class, students should sp least 8 hours (480 minutes) studying each week. The given data represent the time spent on task recorded (in minutes) for randomly selected students during the third week of the semester. Determine if the evidence suggests students may not, in fact, be following the advice. That is, does the evidence suggest students are studying less than 480 minutes each week? Use x = 0.05 level of significance. Note: A normal probability plot and boxplot indicate that the data come from a population that is normally distributed with no outliers. Complete parts (a) through (e) below. Click here to view the time spent on task data. Click here to view a table of critical t-values.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Table of Critical t-Values
12345678910 112151671912092980
Degrees of
Freedom 0.25
13
14
23
24
32
33
2
t-Distribution
Area in Right Tail
0.20 0.15
0.05 0.025 0.02
1.000 1.376 1.963
3.078 6.314 12.706 15.894
0.816 1.061 1.386 1.886 2.920
4.303
4.849
0.765 0.978 1.250 1.638 2.353 3.182 3.482
0.741 0.941 1.190 1.533 2.132 2.776
2.999
0.727 0.920 1.156 1.476 2.015 2.571 2.757
0.718 0.906 1.134 1.440 1.943
2.447
2.612 3.143 3.707
0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499
0.706 0.889 1.108 1.397
1.860 2.306 2.449 2.896 3.355
0.703 0.883 1.100 1.383 1.833
2.398 2.821
1.093 1.372
2.262
3.250
1.812
2.228
2.359
3.169
0.700. 0.879
0.876
2.764
2.328 2.718
0.697
1.796
2.201
0.695 0.873
2.179 2.303 2.681
0.694 0.870
1.088 1.363
1.083
1.356
1.782
1.079 1.350 1.771 2.160 2.282 2.650
1.076 1.345 1.761 2.145 2.264 2.624
1.074
1.753
1.337
1.746
1.333 1.740 2.110
1.330 1.734 2.101
1.328 1.729
1.341
2.131 2.249
1.067
1.066
1.064 1.325 1.725
2.567 2.898
2.552 2.878
2.539 2.861
2.528 2.845
2.093
2.086
2.120 2.235 2.583 2.921
2.224
2.214
2.205
2.197
1.063 1.323 1.721 2.080
2.189 2.518 2.831
1.061 1.321 1.717 2.074 2.183
2.508 2.819
1.060 1.319 1.714 2.069 2.177 2.500 2.807
1.059 1.318 1.711 2.064 2.172 2.492 2.797
1.058 1.316 1.708 2.060 2.167 2.485 2.787
1.706 2.056 2.162 2.479 2.779
1.703 2.052 2.158 2.473 2.771
1.701 2.048 2.154 2.467 2.763
1.699 2.045 2.150 2.462
2.756
1.697 2.042 2.147 2.457 2.750
1.696 2.040 2.144 2.453 2.744
1.694 2.037 2.141 2.449 2.738
1.692 2.035 2.138 2.445 2.733
2.022
1.601
2136
2.728
0.692 0.868
0.691 0.866
0.690
0.865
0.863
0.688 0.862
0.861
0.686
0.860
0.859
0.686 0.858
0.685 0.858
0.685 0.857
0.856
0.684
0.689
0.688
0.687
Area in
right tail
0.684
0.684
0.856
1.315
0.855
1.314
0.855
1.056 1.313
0.854 1.055 1.311
0.854 1.055 1.310
0.682 0.853 1.054 1.309
0.682 0.853 1.054 1.309
0.682 0.853 1.053 1.308
0852 1.052 1307
0.682
0.683
0.683
0.683
1.071
1.069
1.058
1.057
0.10
0.01 0.005 0.0025 0.001 0.0005
31.821 63.657 127.321 318.309 636.619
6.965 9.925
14.089 22.327 31.599
4.541 5.841 7.453 10.215 12.924
3.747 4.604
5.598 7173
3.365 4.032 4.773
5.893
3.106
3.055
3.012
2.977
2.602 2.947
4.317
5.208
4.029 4.785
3.833 4.501
3.690
4.297
3.581
4.144
3.497
4.025
3.428 3.930
3.372 3.852
3.326
3.787
3.286
3.733
3.252 3.686
3.646
3.610
3.222
3.197
3.174 3.579
3.153 3.552
3.135 3.527
3.119 3.505
3.104 3.485
3.091 3.467
3.078 3.450
3.067 3.435
3.057 3.421
3.047 3.408
3.038 3.396
3.030 3.385
3.022 3.375
3.015
3.365
3.008
3.356
3.002
2.2.48
8.610
6.869
5.959
5.408
5.041
4.781
4.587
4.437
4.318
4.221
4.140
4.073
4.015
3.965
3.922
3.883
3.850
3.819
3.792
3.768
3.745
3.725
3.707
3.690
3.674
3.659
3.646
3.633
3.622
3.611
3.601
I
X
Transcribed Image Text:Table of Critical t-Values 12345678910 112151671912092980 Degrees of Freedom 0.25 13 14 23 24 32 33 2 t-Distribution Area in Right Tail 0.20 0.15 0.05 0.025 0.02 1.000 1.376 1.963 3.078 6.314 12.706 15.894 0.816 1.061 1.386 1.886 2.920 4.303 4.849 0.765 0.978 1.250 1.638 2.353 3.182 3.482 0.741 0.941 1.190 1.533 2.132 2.776 2.999 0.727 0.920 1.156 1.476 2.015 2.571 2.757 0.718 0.906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 0.703 0.883 1.100 1.383 1.833 2.398 2.821 1.093 1.372 2.262 3.250 1.812 2.228 2.359 3.169 0.700. 0.879 0.876 2.764 2.328 2.718 0.697 1.796 2.201 0.695 0.873 2.179 2.303 2.681 0.694 0.870 1.088 1.363 1.083 1.356 1.782 1.079 1.350 1.771 2.160 2.282 2.650 1.076 1.345 1.761 2.145 2.264 2.624 1.074 1.753 1.337 1.746 1.333 1.740 2.110 1.330 1.734 2.101 1.328 1.729 1.341 2.131 2.249 1.067 1.066 1.064 1.325 1.725 2.567 2.898 2.552 2.878 2.539 2.861 2.528 2.845 2.093 2.086 2.120 2.235 2.583 2.921 2.224 2.214 2.205 2.197 1.063 1.323 1.721 2.080 2.189 2.518 2.831 1.061 1.321 1.717 2.074 2.183 2.508 2.819 1.060 1.319 1.714 2.069 2.177 2.500 2.807 1.059 1.318 1.711 2.064 2.172 2.492 2.797 1.058 1.316 1.708 2.060 2.167 2.485 2.787 1.706 2.056 2.162 2.479 2.779 1.703 2.052 2.158 2.473 2.771 1.701 2.048 2.154 2.467 2.763 1.699 2.045 2.150 2.462 2.756 1.697 2.042 2.147 2.457 2.750 1.696 2.040 2.144 2.453 2.744 1.694 2.037 2.141 2.449 2.738 1.692 2.035 2.138 2.445 2.733 2.022 1.601 2136 2.728 0.692 0.868 0.691 0.866 0.690 0.865 0.863 0.688 0.862 0.861 0.686 0.860 0.859 0.686 0.858 0.685 0.858 0.685 0.857 0.856 0.684 0.689 0.688 0.687 Area in right tail 0.684 0.684 0.856 1.315 0.855 1.314 0.855 1.056 1.313 0.854 1.055 1.311 0.854 1.055 1.310 0.682 0.853 1.054 1.309 0.682 0.853 1.054 1.309 0.682 0.853 1.053 1.308 0852 1.052 1307 0.682 0.683 0.683 0.683 1.071 1.069 1.058 1.057 0.10 0.01 0.005 0.0025 0.001 0.0005 31.821 63.657 127.321 318.309 636.619 6.965 9.925 14.089 22.327 31.599 4.541 5.841 7.453 10.215 12.924 3.747 4.604 5.598 7173 3.365 4.032 4.773 5.893 3.106 3.055 3.012 2.977 2.602 2.947 4.317 5.208 4.029 4.785 3.833 4.501 3.690 4.297 3.581 4.144 3.497 4.025 3.428 3.930 3.372 3.852 3.326 3.787 3.286 3.733 3.252 3.686 3.646 3.610 3.222 3.197 3.174 3.579 3.153 3.552 3.135 3.527 3.119 3.505 3.104 3.485 3.091 3.467 3.078 3.450 3.067 3.435 3.057 3.421 3.047 3.408 3.038 3.396 3.030 3.385 3.022 3.375 3.015 3.365 3.008 3.356 3.002 2.2.48 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 3.819 3.792 3.768 3.745 3.725 3.707 3.690 3.674 3.659 3.646 3.633 3.622 3.611 3.601 I X
It is suggested by college mathematics instructors that students spend 2 hours outside class studying for every hour in class. So, for a 4-credit-hour math class, students should spend
least 8 hours (480 minutes) studying each week. The given data represent the time spent on task recorded (in minutes) for randomly selected students during the third week of the
semester. Determine if the evidence suggests students may not, in fact, be following the advice. That is, does the evidence suggest students are studying less than 480 minutes
each week? Use α = 0.05 level of significance. Note: A normal probability plot and boxplot indicate that the data come from a population that is normally distributed with no outliers.
Complete parts (a) through (e) below.
Click here to view the time spent on task data. Click here to view a table of critical t-values.
(a) State the null and alternative hypotheses.
Ho:
min
H₁:
min
(Type integers or decimals. Do not round.)
Transcribed Image Text:It is suggested by college mathematics instructors that students spend 2 hours outside class studying for every hour in class. So, for a 4-credit-hour math class, students should spend least 8 hours (480 minutes) studying each week. The given data represent the time spent on task recorded (in minutes) for randomly selected students during the third week of the semester. Determine if the evidence suggests students may not, in fact, be following the advice. That is, does the evidence suggest students are studying less than 480 minutes each week? Use α = 0.05 level of significance. Note: A normal probability plot and boxplot indicate that the data come from a population that is normally distributed with no outliers. Complete parts (a) through (e) below. Click here to view the time spent on task data. Click here to view a table of critical t-values. (a) State the null and alternative hypotheses. Ho: min H₁: min (Type integers or decimals. Do not round.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman