Listed below are measured amounts of lead (in micrograms per cubic meter, or μg/m3)in the air. The EPA has established an air quality standard for lead of 1.5 μg/m3. The measurements shown below were recorded at a building on different days. Use the given values to construct a 95% confidence interval estimate of the mean amount of lead in the air. Is there anything about this data set suggesting that the confidence interval might not be very good? 5.40 0.90 0.46 0.83 0.67 1.20 What is the confidence interval for the population mean
Listed below are measured amounts of lead (in micrograms per cubic meter, or μg/m3)in the air. The EPA has established an air quality standard for lead of 1.5 μg/m3. The measurements shown below were recorded at a building on different days. Use the given values to construct a 95% confidence interval estimate of the mean amount of lead in the air. Is there anything about this data set suggesting that the confidence interval might not be very good? 5.40 0.90 0.46 0.83 0.67 1.20 What is the confidence interval for the population mean
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
Related questions
Question
Listed below are measured amounts of lead (in micrograms per cubic meter, or μg/m3)in the air. The EPA has established an air quality standard for lead of 1.5 μg/m3.
The measurements shown below were recorded at a building on different days. Use the given values to construct a 95% confidence interval estimate of the mean amount of lead in the air. Is there anything about this data set suggesting that the confidence interval might not be very good?
5.40
0.90
0.46
0.83
0.67
1.20
What is the confidence interval for the population mean
μ?
? μg/m3<μ< ? μg/m3
(Round to three decimal places as needed.)
Transcribed Image Text:POSITIVE z Scores
z Scores
Standard Normal (z) Distribution: Cumulative Area from the LEFT
00
.01
.02
.03
.04
.05
.06
.07
7
08
.09
0.0
0.1
5000
.5040
.5080
5120
5160
.5199
.5230
.5279
5319
.5359
0.0
.5398
5438
.5478
5517
.5557
5596
.5636
.5675
5714
.5753
0.1
0.2
.5793
.5832
.5871
.5010
.5948
5987
.6026
.6064
.6103
.6141
02
2
0.3
.6179
6217
.6255
6293
6331
.6368
.6406
.6443
6480
.6517
0.3
3
0.4
.6554
.6591
.6628
.6664
.6700
.6736
.6772
.6808
.6844
6879
0.4
0.5
6915
.6050
.6985
.7019
.7054
7088
.7123
.7157
.7190
7224
0.5
0.6
.7257
7201
.7324
7357
7380
7422
.7454
.7486
.7517
7549
0.6
0.7
.7580
7611
.7642
.7673
.7704
7734
.7764
.7794
.7823
.7852
0.7
0.8
7881
7910
.7939
.7967
.7995
8023
.8051
8078
8106
8133
0.8
0.9
8159
8186
.8212
8238
.8264
8289
.8315
8340
8365
8389
0.9
1.0
8413
8438
8461
8485
8508
8531
.8554
8577
8500
8621
1.0
1.1
8643
8665
8686
8708
8729
8749
.8770
8790
8810
8830
1.1
1.2
8849
.8860
8888
8007
8925
8944
.8962
8080
.8907
9015
1.2
1.3
0032
.9049
9066
.0082
.9099
.9115
.9131
.9147
9162
9177
1.3
1.4
9192
9207
9222
9236
9251
9265
9279
9306
9319
1.4
1.5
332
9345
9357
.370
9382
9394
.9406
.9418
9429
9441
1.5
1.6
.9452
9463
9474
9484
9495
9505
0515
9525
.9535
.9545
1.6
1.7
9554
.9564
.9573
0582
.9591
9599
.9608
9616
.9625
.9633
1.7
1.8
9641
.9649
.9656
0664
.9671
9678
.9686
9693
.9699
9706
1.8
1.9
9713
9719
.9726
9732
9738
9744
.9750
9756
9761
.9767
1.9
2.0
9772
9778
.9783
9788
9793
9798
.9803
.9808
.9812
.9817
2.0
2.1
.9821
9826
9830
9834
9838
.9842
.9846
.9850
.9854
.9857
2.1
2.2
9861
.9864
.9868
.9871
.9875
.9878
.9881
.9884
9887
.9890
2.2
2.3
9893
9896
.9898
0001
.9904
.9906
.9900
0011
.9913
9916
2.3
2.4
9918
9920
.9922
9025
9927
„9929
.9961
.0032
9934
9936
2.4
2.5
9938
.9940
.9941
.0043
.9945
.9946
.9948
0049
.9951
.9952
2.5
2.6
9953
.9955
.9056
.0057
9950
.9960
.0061
9962
9963
.9964
2.6
2.7
.9965
9966
.9967
.9068
.9969
.9970
.9971
9972
.9973
.9974
2.7
2.8
9974
.9975
.9976
0077
9977
9978
.9979
9979
.9980
.9981
2.8
2.9
9981
.9982
.9982
.0083
.9984
.9984
.9085
.0085
.0086
.9986
2.9
3.0
9987
9987
.9087
0088
9988
9989
.9080
0089
.9990
.9990
3.0
3.1
9990
9991
.9991
9001
9992
.9092
.9002
0002
9993
9993
3.1
3.2
2
9993
.9993
.9904
.0004
.9994
9004
.9904
.0005
.9005
9995
3.2
3.3
9995
.9005
9995
9006
.9996
9906
.9906
.0006
9996
9997
3.3
3.4
9997
9997
.9997
.0007
9997
9007
9907
9007
.9997
9998
3.4
3.50. and up
9000
9999
3.50. and up
00
01
.02
.03
.04
.05
06
.07
08
.09
NOTE: For values of zabove 3.40. use 0.9000 for the area.
Common Critical Values
Transcribed Image Text:4/26/2021
Critical t values
t Distribution: Critical t Values
Left tail
Area in One Tall
0.005
0.01
0.025
0.05
0.10
Area in Two Talls
0.05
Degrees of
Freedom
Degrees of
Freedom
0.01
0.02
0.10
0.20
63.657
31.821
12.706
6.314
3.078
2
9.925
6.965
4.303
2.920
1.886
2
3
5.841
4.541
3.182
2.353
1.638
4
4.604
3.747
2.776
2.132
1.533
4.
5
4.032
3.365
2.571
2.015
1.476
6
3.707
3.143
2.447
1.943
1.440
6.
7
3.499
2.998
2.365
1.895
1.415
7
3.355
2.896
2.306
1.860
1.397
8
Critical t value
(negative)
9
3.250
2.821
2.262
1.833
1.383
10
3.169
2.764
2.228
1.812
1.372
10
11
3.106
2.718
2.201
1.796
1.363
11
12
3.055
2.681
2.179
1.782
1.356
12
13
3.012
2.650
2.160
1.771
1.350
13
14
2.977
2.624
2.145
1.761
1.345
14
Right tail
15
2.947
2.02
2.131
1.753
1.341
15
16
2.921
2.583
2.120
1.746
1.337
16
17
2.898
2.567
2.110
1.740
1.333
17
18
2.878
2.552
2.101
1.734
1.330
18
19
2.861
2.539
2.093
1.729
1.328
19
20
2.845
2.528
2.086
1.725
1.325
20
21
2.831
2.518
2.080
1.721
1.323
21
22
2.819
2.508
2.074
1.717
1.321
22
23
2.807
2.500
2.069
1.714
1.319
23
24
2.797
2.492
2.064
1.711
1.318
24
25
2.787
2.485
2.060
1.708
1.316
25
26
2.779
2.479
2.056
1.706
1.315
26
Critical tvalue
(positive)
27
2.771
2.473
2.052
1.703
1.314
27
28
2.763
2.467
2.048
1.701
1.313
28
29
2.756
2.462
2.045
1.699
1.311
29
30
2.750
2.457
2.042
1.697
1.310
30
31
2.744
2.453
2.040
1.696
1.300
31
32
2.738
2.449
2.037
1.004
1.309
32
33
2.733
2.445
2.035
1.002
1.308
33
34
2.728
2.441
2.032
1.601
1.307
34
Two tails
35
2.724
2.438
2.030
1.000
1.306
35
36
2.719
2.434
2.028
1.688
1.306
36
37
2.715
2.431
2.026
1.687
1.305
37
38
2.712
2.429
2.024
1.686
1.304
38
39
2.708
2.426
2.023
1.685
1.304
39
40
2.704
2.423
2.021
1.684
1.303
40
45
2.690
2.412
2.014
1.679
1.301
45
50
2.678
2.403
2.009
1.676
1.299
50
a/2
a/2
60
2.660
2.390
2.000
1.671
1.296
60
70
2.648
2.381
1.994
1.667
1.294
70
80
2.639
2.374
1.990
1.004
1.292
80
90
2.632
2.368
1.987
1.062
1.291
90
Critical t value
(negative)
Critical tvalue
100
2.626
2.364
1.984
1.060
1.290
100
(positive)
200
2.601
2.345
1.972
1.653
1.286
200
300
2.592
2.339
1.968
1.650
1.284
300
400
2.588
2.336
1.966
1.649
1.284
400
500
2.586
2.334
1.965
1.648
1.283
500
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