(a) State the null and alternative hypotheses. Ho: ▼ H₂: ▼ ▼ min (Type integers or decimals. Do not round.) (b) Determine the test statistic. to=(Round to two decimal places as needed.) (c) Determine a range for the P-value. The P-value is in the range ▼ min (d) The P-value for this hypothesis test using Student's t-distribution is 0.073. Interpret this result. We would expect a sample mean of minutes or less to occur in about [ of every 100 repetitions of this study. (Type integers or decimals. Round to one decimal place as needed.) (e) Write a conclusion based on the results. Use a = 0.05. the null hypothesis. There sufficient evidence to conclude the mean number of minutes studying is 480 minutes.
(a) State the null and alternative hypotheses. Ho: ▼ H₂: ▼ ▼ min (Type integers or decimals. Do not round.) (b) Determine the test statistic. to=(Round to two decimal places as needed.) (c) Determine a range for the P-value. The P-value is in the range ▼ min (d) The P-value for this hypothesis test using Student's t-distribution is 0.073. Interpret this result. We would expect a sample mean of minutes or less to occur in about [ of every 100 repetitions of this study. (Type integers or decimals. Round to one decimal place as needed.) (e) Write a conclusion based on the results. Use a = 0.05. the null hypothesis. There sufficient evidence to conclude the mean number of minutes studying is 480 minutes.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Time to spend on task data
504 / 267 /220 / 322 / 538 / 542.
428/ 481 / 413 / 302/ 602
Transcribed Image Text:Degrees of
Freedom 0.25
12445
CESTA MAA#9 25928 52332 3533A ARRE
6
7
8
10
11
12
13
14
15
16
17
18
19
20
21
24
26
30
31
32
33
0.690
0.689
1.000
0.816
0.765
0.741
0.727 0.920
0.688
0.865
0.863
0.862
0.861
0.687 0.860
0.688
1.963
1.386
0.978
1.250
1.190
0.941
1.156
1134
0.906
0.718
1.440
1.415
0.711 0.896 1.119
1.108
0.889
0.706
0.703 0.883 1.100 1.383
1.397
0.879
1.093
1.372
0.700
0.697 0.876
0.695 0.873
0.694 0.870
0.692 0.868
0.691 0.866
0.686
0.686
0.859
0.858
0.858
0.685 0.857
0.856
0.685
Area in
right tail
0.684
0.20
0.684
1.376
1.061
0.684
0.683
0.15
1088
1.083
1.079
1.076
1074
1071
1.069
1.067
1.066
1.064
0.10
1.058
1057
1.056
1.055
1.055
3.078
1.886
2.353
1.638
1.533
2.132
1.476 2.015
1.063
1.323
1.061 1.321
1060
1.319
1.059
1.058
0.853 1054
0.853 1053
0852
t-Distribution
Area in Right Tail
0.025
0.02
12.706 15.894
4.303
4.849
3.182
3.482
2.999
2.757
0.05
6.314
2.920
1.318
1316
1.796
1.363
1.356
1.782
1.350
1.771
1.345
1.761
1.341
1.753
0.856
1.315 1.706
0.855
1.314
1.703
1.701
0.855
1.313
0.683
0.854
1.311
1.699
1.310 1.697
0.683 0.854
0.682 0.853
0.682
0.682
0.682
1054 1.309
1.309
1.308
1.943
1.895
1.860
1.833
1.812
1.337
1.746
1.740
1.333
1.330
1.734
1.328 1.729
1.325
1.725
2.776
2.571
1.721
1.717
1.714
1.711
1.708
2.201
2.179
2.160
2.145
2.131
2.447
2.517
2.365
2.306
2.262
2.228
2.080
2.074
2.069
2.064
2.060
0.01 0.005 0.0025 0.001 0.0005
31.821
6.965
318.309 636.619
63.657 127.321
22.327
14.089
9.925
31.599
4.541
10.215
12.924
5.841
3.747 4.604
7.453
5.598
7173
8.610
3.365
4.032
4.773
5.893
6.869
3.143
2.612
3.707
2.998 3.499
2.896 3.355
2.449
2.359
2.821 3.250
2.398
3.169
2.764
3.106
2.718
2.681
3.055
2.650 3.012
2.977
2.947
2.056
2.052
2.048
2.045
2.042
2.120
2.235
2.224
2.110
2.101
2.214
2.093
2.205
2.086 2.197
2.328
2.303
2.282
2.624
2.264
2.249
2.602
2.189
2.183
2.177
2.172
2.167
2.583
2.567
2.552
2.539
2.528
2.921
2.898
2.878
2.861
2.845
2.518
2.831
2.508
2.819
2.500
2.807
2.492 2.797
2.485
2.787
1.696 2.040
2.144
1.694
2.037
2.141
1.692
2.138
2.035
1.601
2.032
2.479
2.162
2.158
2.473
2.154
2.467
2.462
2.150
2.147
2.457
2.779
2.771
2.763
2.756
2.750
2.453
2.744
2.449
2.738
2.445 2.733
4.317
5.959
4.029
5.408
3.833
5.041
3.690
4.781
3.581 4.144 4.587
3.497
3.428
3.372
3.326
3.286
3.252
3.222
3.197
3.174
3.153
3.135
3.119
3.104
3.091
3.078
5.208
4.785
4.501
4.297
3.022
3.015
3.008
3.002
4.025
3.930
3.852
3.787
3.733
3.686
3.646
3.610
3.579
3.552
3.527
3.505
3.485
3.467
3.450
3.067
3.435
3.057
3.421
3.047 3.408
3.038
3.396
3.030
3.385
3.375
3.365
3.356
1248
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
inut
e
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 at
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.
Но
min
H₁:
min
(Type integers or decimals. Do not round.)
(b) Determine the test statistic.
to = (Round to two decimal places as needed.)
(c) Determine a range for the P-value.
The P-value is in the range
www
(d) The P-value for this hypothesis test using Student's t-distribution is 0.073. Interpret this result:
We would expect a sample mean of minutes or less to occur in about of every 100 repetitions of this study.
(Type integers or decimals. Round to one decimal place as needed.)
(e) Write a conclusion based on the results. Use α = 0.05.
the null hypothesis. There
sufficient evidence to conclude the mean number of minutes studying is
480 minutes.
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