A maker of a certain brand of low-fat cereal bars claims that the average saturated fat content is 0.4 gram. In a random sample of 8 cereal bars of this brand, the saturated fat content was as shown below. 0.5 0.6 0.5 0.2 0.8 0.3 0.4 Would you agree with the claim? Assume a normal distribution. 0.5 Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. 0 The computed t-value is t=, so P(T>t) is This evidence to disagree (Round to two decimal places as needed.) between 0.20 and 0.30. greater than 0.40. between 0.15 and 0.20. less than 0.01. between 0.10 and 0.15. between 0.30 and 0.40.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 28E
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I need help with this please. Second blank is: "This (provides or does not provide) evidence to disagree with the claim.

 

Critical Values of the t-Distribution
> >
☑=
Critical Values of the t-Distribution
a
a
0.02
0.015
0.01
0.0075
0.005
0.0025
0.0005
"
0.40
0.30
0.20
0.15
0.10
0.05
0.025
1
15.894
21.205
31.821
42.433
63.656
127.321
636.578
1
0.325
0.727
1.376
1.963
3.078
6.314
12.706
2
4.849
5.643
6.965
8.073
9.925
14.089
31.600
2
0.289
0.617
1.061
1.386
1.886
2.920
4.303
3
3.482
3.896
4.541
5.047
5.841
7.453
12.924
3
0.277
0.584
0.978
1.250
1.638
2.353
3.182
4
2.999
3.298
3.747
4.088
4.604
5.598
8.610
4
0.271
0,569
0.941
1.190
1.533
2.132
2.776
5
2.757
3.003
3.365
3.634
4.032
4.773
6.869
5
0.267
0.559
0.920
1.156
1.476
2.015
2.571
6
2.612
2.829
3.143
3.372
3.707
4.317
5.959
6
0.265
0.553
0.906
1.134
1.440
1.943
2.447
7
2.517
2.715
2.998
3.203
3.499
4.029
5.408
7
0.263
0.549
0.896
1.119
1.415
1.895
2.365
8
2.449
2.634
2.896
3.085
3.355
3.833
5.041
8
0.262
0.546
0.889
1.108
1.397
1.860
2.306
9
2.398
2.574
2.821
2.998
3.250
3.690
4.781
9
0.261
0.543
0.883
1.100
1.383
1.833
2.262
2.359
2.527
2.764
2.932
3.169
3.581
4.587
10
0.260
0.542
0.879
1.093
1.372
1.812
2.228
2.328
2.491
2.718
2.879
3.106
3.497
4.437
11
0.260
0.540
0.876
1.088
1.363
1.796
2.201
2.303
2.461
2.681
2.836
3.055
3.428
4.318
12
0.259
0.539
0.873
1.083
1.356
1.782
2.179
2.282
2.436
2.650
2.801
3.012
3.372
4.221
13
0.259
0.538
0.870
1.079
1.350
1.771
2.160
2.264
2.415
2.624
2.771
2.977
3.326
4.140
14
0.258
0.537
0.868
1.076
1.345
1.761
2.145
2.249
2.397
2.602
2.746
2.947
3.286
4.073
15
0.258
0.536
0.866
1.074
1.341
1.753
2.131
2.235
2.382
2.583
2.724
2.921
3.252
4.015
16
0.258
0.535
0.865
1.071
1.337
1.746
2.120
2.224
2.368
2.567
2.706
2.898
3.222
3.965
17
0.257
0.534
0.863
1.069
1.333
1.740
2.110
2.214
2.356
2.552
2.689
2.878
3.197
3.922
18
0.257
0.534
0.862
1.067
1.330
1.734
2.101
2.205
2.346
2.539
2.674
2.861
3.174
3.883
19
0.257
0.533
0.861
1.066
1.328
1.729
2.093
2.197
2.336
2.528
2.661
2.845
3.153
3.850
20
0.257
0.533
0.860
1.064
1.325
1.725
2.086
2.189
2.328
2.518
2.649
2.831
3.135
3.819
21
0.257
0.532
0.859
1.063
1.323
1.721
2.080
22
0.256
0.532
0.858
1.061
1.321
1.717
2.074
23
0.256
0.532
0.858
1.060
1.319
1.714
2.069
24
0.256
0.531
0.857
1.059
1.318
1.711
2.064
25
0.256
0.531
0.856
1.058
1.316
1.708
2.060
26
0.256
0.531
0.856
1.058
1.315
1.706
2.056
27
0.256
0.531
0.855
1.057
1.314
1.703
2.052
28
0.256
0.530
0.855
1.056
1.313
1.701
2.048
29
0.256
0.530
0.854
1.055
1.311
1.699
2.045
ت
30
0.256
0.530
0.854
1.055
1.310
1.697
2.042
125%
40
0.255
0.529
0.851
1.050
1.303
1.684
2.021
60
0.254
0.527
0.848
1.045
1.296
1.671
2.000
120
120
0.254
0.526
0.845
1.041
1.289
1.658
1.980
∞
0.253
0.524
0.842
1.036
1.282
1.645
1.960
88 888 888-
2.183
2.320
2.508
2.639
2.819
3.119
3.792
2.177
2.313
2.500
2.629
2.807
3.104
3.768
2.172
2.307
2.492
2.620
2.797
3.091
3.745
2.167
2.301
2.485
2.612
2.787
3.078
3.725
2.162
2.296
2.479
2.605
2.779
3.067
3.707
2.158
2.291
2.473
2.598
2.771
3.057
3.689
2.154
2.286
2.467
2.592
2.763
3.047
3.674
2.150
2.282
2.462
2.586
2.756
3.038
3.660
2.147
2.278
2.457
2.581
2.750
3.030
3.646
2.123
2.250
2.423
2.542
2.704
2.971
3.551
2.099
2.223
2.390
2.504
2.660
2.915
3.460
2.076
2.196
2.358
2.468
2.617
2.860
3.373
2.054
2.170
2.326
2.432
2.576
2.807
3.290
0.02
0.015
0.01
0.0075
0.005
0.0025
0.0005
"
0.40
0.30
0.20
0.15
0.10
0.05
0.025
a
Q
a
Ο
Transcribed Image Text:Critical Values of the t-Distribution > > ☑= Critical Values of the t-Distribution a a 0.02 0.015 0.01 0.0075 0.005 0.0025 0.0005 " 0.40 0.30 0.20 0.15 0.10 0.05 0.025 1 15.894 21.205 31.821 42.433 63.656 127.321 636.578 1 0.325 0.727 1.376 1.963 3.078 6.314 12.706 2 4.849 5.643 6.965 8.073 9.925 14.089 31.600 2 0.289 0.617 1.061 1.386 1.886 2.920 4.303 3 3.482 3.896 4.541 5.047 5.841 7.453 12.924 3 0.277 0.584 0.978 1.250 1.638 2.353 3.182 4 2.999 3.298 3.747 4.088 4.604 5.598 8.610 4 0.271 0,569 0.941 1.190 1.533 2.132 2.776 5 2.757 3.003 3.365 3.634 4.032 4.773 6.869 5 0.267 0.559 0.920 1.156 1.476 2.015 2.571 6 2.612 2.829 3.143 3.372 3.707 4.317 5.959 6 0.265 0.553 0.906 1.134 1.440 1.943 2.447 7 2.517 2.715 2.998 3.203 3.499 4.029 5.408 7 0.263 0.549 0.896 1.119 1.415 1.895 2.365 8 2.449 2.634 2.896 3.085 3.355 3.833 5.041 8 0.262 0.546 0.889 1.108 1.397 1.860 2.306 9 2.398 2.574 2.821 2.998 3.250 3.690 4.781 9 0.261 0.543 0.883 1.100 1.383 1.833 2.262 2.359 2.527 2.764 2.932 3.169 3.581 4.587 10 0.260 0.542 0.879 1.093 1.372 1.812 2.228 2.328 2.491 2.718 2.879 3.106 3.497 4.437 11 0.260 0.540 0.876 1.088 1.363 1.796 2.201 2.303 2.461 2.681 2.836 3.055 3.428 4.318 12 0.259 0.539 0.873 1.083 1.356 1.782 2.179 2.282 2.436 2.650 2.801 3.012 3.372 4.221 13 0.259 0.538 0.870 1.079 1.350 1.771 2.160 2.264 2.415 2.624 2.771 2.977 3.326 4.140 14 0.258 0.537 0.868 1.076 1.345 1.761 2.145 2.249 2.397 2.602 2.746 2.947 3.286 4.073 15 0.258 0.536 0.866 1.074 1.341 1.753 2.131 2.235 2.382 2.583 2.724 2.921 3.252 4.015 16 0.258 0.535 0.865 1.071 1.337 1.746 2.120 2.224 2.368 2.567 2.706 2.898 3.222 3.965 17 0.257 0.534 0.863 1.069 1.333 1.740 2.110 2.214 2.356 2.552 2.689 2.878 3.197 3.922 18 0.257 0.534 0.862 1.067 1.330 1.734 2.101 2.205 2.346 2.539 2.674 2.861 3.174 3.883 19 0.257 0.533 0.861 1.066 1.328 1.729 2.093 2.197 2.336 2.528 2.661 2.845 3.153 3.850 20 0.257 0.533 0.860 1.064 1.325 1.725 2.086 2.189 2.328 2.518 2.649 2.831 3.135 3.819 21 0.257 0.532 0.859 1.063 1.323 1.721 2.080 22 0.256 0.532 0.858 1.061 1.321 1.717 2.074 23 0.256 0.532 0.858 1.060 1.319 1.714 2.069 24 0.256 0.531 0.857 1.059 1.318 1.711 2.064 25 0.256 0.531 0.856 1.058 1.316 1.708 2.060 26 0.256 0.531 0.856 1.058 1.315 1.706 2.056 27 0.256 0.531 0.855 1.057 1.314 1.703 2.052 28 0.256 0.530 0.855 1.056 1.313 1.701 2.048 29 0.256 0.530 0.854 1.055 1.311 1.699 2.045 ت 30 0.256 0.530 0.854 1.055 1.310 1.697 2.042 125% 40 0.255 0.529 0.851 1.050 1.303 1.684 2.021 60 0.254 0.527 0.848 1.045 1.296 1.671 2.000 120 120 0.254 0.526 0.845 1.041 1.289 1.658 1.980 ∞ 0.253 0.524 0.842 1.036 1.282 1.645 1.960 88 888 888- 2.183 2.320 2.508 2.639 2.819 3.119 3.792 2.177 2.313 2.500 2.629 2.807 3.104 3.768 2.172 2.307 2.492 2.620 2.797 3.091 3.745 2.167 2.301 2.485 2.612 2.787 3.078 3.725 2.162 2.296 2.479 2.605 2.779 3.067 3.707 2.158 2.291 2.473 2.598 2.771 3.057 3.689 2.154 2.286 2.467 2.592 2.763 3.047 3.674 2.150 2.282 2.462 2.586 2.756 3.038 3.660 2.147 2.278 2.457 2.581 2.750 3.030 3.646 2.123 2.250 2.423 2.542 2.704 2.971 3.551 2.099 2.223 2.390 2.504 2.660 2.915 3.460 2.076 2.196 2.358 2.468 2.617 2.860 3.373 2.054 2.170 2.326 2.432 2.576 2.807 3.290 0.02 0.015 0.01 0.0075 0.005 0.0025 0.0005 " 0.40 0.30 0.20 0.15 0.10 0.05 0.025 a Q a Ο
A maker of a certain brand of low-fat cereal bars claims that the average saturated fat content is 0.4 gram. In a random sample of 8 cereal bars of this brand, the saturated fat content was as shown below.
0.6 0.5
0.8 0.3 0.4
0.5
0.2
0.5
Would you agree with the claim? Assume a normal distribution.
Click here to view page 1 of the table of critical values of the t-distribution.
Click here to view page 2 of the table of critical values of the t-distribution.
The computed t-value is t=
so P(T>t) is
This
evidence to disagree
(Round to two decimal places as needed.)
between 0.20 and 0.30.
greater than 0.40.
between 0.15 and 0.20.
less than 0.01.
between 0.10 and 0.15.
between 0.30 and 0.40.
Transcribed Image Text:A maker of a certain brand of low-fat cereal bars claims that the average saturated fat content is 0.4 gram. In a random sample of 8 cereal bars of this brand, the saturated fat content was as shown below. 0.6 0.5 0.8 0.3 0.4 0.5 0.2 0.5 Would you agree with the claim? Assume a normal distribution. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. The computed t-value is t= so P(T>t) is This evidence to disagree (Round to two decimal places as needed.) between 0.20 and 0.30. greater than 0.40. between 0.15 and 0.20. less than 0.01. between 0.10 and 0.15. between 0.30 and 0.40.
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