A publisher of books has produced five comparable Statistical Management books with the following costs. Both values are in thousands.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![Table A.3 (continued) Areas under the Normal Curve
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
Table A.4 Critical Values of the t-Distribution
0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279
0.5517
0.5319 0.5359
0.1
0.1
0.5398 0.5438
0.5478
0.5557
0.5596
0.5636 0.5675
0.5714
0.5753
0.40
0.30
0.20
0.15
0.10
0.05
0.025
0.2
0.5793 0.5832 0.5871 0.5910 0.5948 0.5987
0.6026 0.6064
0.6103 0.6141
3.078
1.886
0.3
0.6179
0.6217 0.6255 0.6293 0.6331
0.6368 0.6406 0.6443
0.6480 0.6517
1
0.325
0.727
1.376
1.963
6.314
12.706
1.386
1.250
1.190
1.156
0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808
0.6844
0.6879
2
0.289
0.617
1.061
2.920
4.303
0.277
0.584
0.978
0.941
3.182
2.776
3
1.638
2.353
0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157
0.7324 0.7357 0.7389 0.7422 0.7454 0.7486
0.7190 0.7224
0.7517
0.5
0.6915
4
0.271
0.569
1.533
2.132
0.6 0.7257 0.7291
0.7580
0.7549
0.267
0,559
0.920
1.476
2.015
2.571
0.7
0.7611 0.7642 0.7673 0.7704 0.7734
0.7764 0.7794
0.7823 0.7852
0,906
0.896
1.134
1.119
1.108
0.8 0.7881
0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133
6.
0.265
0.553
1.440
1.943
2.447
0.263
0.262
0.549
0.546
2.365
2.306
0.9 0.8159 0.8186
0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389
1.415
1.895
0.889
0.883
8
1.397
1.860
1.0
0.8413
0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577
0.8599 0.8621
0.261
0.543
1.100
1.383
1.833
2.262
0.8686 0.8708 0.8729 0.8749 0.8770 0.8790
1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015
1.1
0.8643
0.8665
0.8810 0.8830
10
0.260
0.542
0.879
1.093
1.372
1.812
2.228
0.540
0.539
11
0.260
1.088
1.363
0.876
0.873
1.796
2.201
2.179
2.160
1.3
0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147
0.9162 0.9177
1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319
12
0.259
1.083
1.356
1.782
1.350
1.345
1.341
13
0.259
0.538
0,870
1.079
1.771
1.5
0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418
0.9429 0.9441
1.076
1.074
14
0.258
0.537
0.868
1.761
2.145
1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 0.9515 0.9525
0.9564 0.9573 0.9582 0.9591 0.9599 0.9608
0.9664 0.9671 0.9678
0.9535 0.9545
15
0.258
0.536
0.866
1.753
2.131
0.9625
0.9699
0.9756 0.9761
1.7
0.9554
0.9616
0.9633
0.258
0.257
1.337
1.333
1.330
1.328
1.325
1.8 0.9641
0.9649
0.9656
0.9686 0.9693
0.9706
16
0.535
0.865
1.071
1.746
2.120
1.069
1.067
2.110
2.101
2.093
2.086
1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750
0.9767
17
0.534
0.863
1.740
18
0.257
0.534
0.862
1.734
2.0 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.9803 0.9808
0.9812
0.9817
19
0.257
0.533
0.861
1.066
1.729
2.1 0.9821
0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850
0.9854 0.9857
20
0.257
0.533
0.860
1.064
1.725
0.9864 0.9868 0.9871 0.9875 0.9878 0.9881
0.9901
2.2 0.9861
0.9884 0.9887 0.9890
1.323
1.321
1.319
21
0.257
0.532
0.859
1.063
1.721
2.080
2.3
2.4 0.9918 0.9920
0.9893 0.9896
0.9898
0.9913 0.9916
0.9925 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936
0.9904 0.9906 0.9909 0.9911
0.532
0.532
0.531
1.061
1.060
22
0.858
2.074
2.069
2.064
2.060
0.9922
0.256
1.717
23
0.256
0.858
1.714
2.5
0.9938
0.9940
0.9941
0.9943 0.9945 0.9946 0.9948 0.9949
0.9951
0.9952
24
0.256
0.857
1.059
1.318
1.711
2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962
0.9963 0.9964
25
0.256
0.531
0.856
1.058
1.316
1.708
0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974
0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981
0.9981
2.7
1.706
1.703
1.701
1.699
26
0.256
0.531
0,856
1.058
1.315
1.314
1.313
1.311
1.310
2.056
2.052
2.048
2.045
2.8
0.855
0.855
0.854
0.854
2.9
0.9982 0.9982
0.9983
0.9984 0.9984 0.9985 0.9985 0.9986 0.9986
27
0.256
0.531
1.057
1.056
1.055
28
0.256
0.530
3.0
0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989
0.9989
0.9990 0.9990
29
0.256
0.530
3.1
0.9990
0.9991
0.9991
0.9991
0.9992 0.9992 0.9992 0.9992
0.9993 0.9993
30
0.256
0.530
1.055
1.697
2.042
3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995
0.9995
0.9995
1.303
1.296
1.289
40
0.255
0.529
0.851
1.050
1.684
2.021
0.9996
0.9997 0.9998
3.3
0.9995
0.9995
0.9995
0.9996 0.9996
0.9996
0.9996 0.9996
0.9997
6
0.254
0.254
60
0.527
0.848
2.000
1.980
3.4
0.9997
0.9997
0.9997
0.9997 0.9997
0.9997
0.9997 0.9997
1.045
1.671
120
0.526
0.845
1.041
1.658
8,
0.253
0,524
0.842
1.036
1.282
1.645
1.960](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9132d86-e55e-49d3-8c2f-73b4ef50fc3b%2Fab057989-4517-48f0-b04a-22c5a0298bae%2Ftfp3epgl_processed.png&w=3840&q=75)
![1.
A publisher of books has produced five comparable Statistical Management
books with the following costs. Both values are in thousands.
Quantity
produced
(x000)
1
2
4
5
7
Manufacturing
Cost (x000)
5.9
6.5
7.5
8
d)
Calculate the predicted value and the residuals of this data.
Construct 99% confidence interval for the intercept.
Construct 99% confidence interval for the slope.
Test for significance of regression by ANOVA and interpret your conclusion.
g)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9132d86-e55e-49d3-8c2f-73b4ef50fc3b%2Fab057989-4517-48f0-b04a-22c5a0298bae%2Fyn4l1ga_processed.png&w=3840&q=75)
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