7. Stress levels (measured by cortisol volume) in a certain population are normally distributed and have mean µ= 200 milliliters and standard deviation o = 24 milliliters. Stress levels for a random sample of n=9 individuals are measured and the sample mean (x) is determined. What is the z-score for a sample mean = 180? а. -3.75 b. -2.50 с. -0.83 d. 2.50

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Fall 2021
7. Stress levels (measured by cortisol volume) in a certain population are normally distributed and have mean µ=
200 milliliters and standard deviation o = 24 milliliters. Stress levels for a random sample of n= 9 individuals
are measured and the sample mean (x) is determined. What is the z-score for a sample mean = 180?
а. -3.75
b. -2.50
с. -0.83
d. 2.50
Transcribed Image Text:Fall 2021 7. Stress levels (measured by cortisol volume) in a certain population are normally distributed and have mean µ= 200 milliliters and standard deviation o = 24 milliliters. Stress levels for a random sample of n= 9 individuals are measured and the sample mean (x) is determined. What is the z-score for a sample mean = 180? а. -3.75 b. -2.50 с. -0.83 d. 2.50
STANDARD NORMAL DISTRIBUTION TABLE
Values given are the proportions for the area under the normal curve between u – zo and
u + zo. The total area under the curve is one.
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.0000
.0797
.0239
.1034
.0478
.1271
2051
.0558
.1350
.0
.0080
.0319
.0399
.0638
.1428
.0160
.0717
.1
.0876
.0955
.1113
.1192
.1507
.1585
.2358
.3108
.1974
.2737
.1663
.1741
.1897
.2128
.2886
.2205
.2961
.3688
.2
.1819
.2282
.2510
.3255
.3
.2434
.2586
3328
.2661
.2812
.3035
.3182
.3899
.4
.3401
.3473
.3545
.3616
.3759
.4039
.4713
.5346
.5935
.4313
.4971
.5587
.5
.3829
.3969
.4108
.4177
.4245
.4381
.4448
.6
.4515
.4581
.4647
.4778
.4843
.4907
.5035
.5098
.5161
.5763
.6319
.6827
.7
.5223
.5285
.5407
.5467
.5527
.5646
.5705
.5878
.6424
.6923
.7373
.6157
.6680
.7154
7580
.6211
.6729
7199
7620
.8
.5821
.5991
.6047
.6102
.6265
.9
.6372
.6476
.6528
.6579
.6629
.6778
.6875
7330
.7017
.7457
.7243
.7660
1.0
.6970
.7063
.7109
1.1
.7287
.7415
.7499
.7540
1.2
.7699
.7737
.7775
.7813
.7850
.7887
.7923
.7959
.7995
.8029
.8230
.8529
1.3
.8064
.8293
.8098
.8415
.8132
.8444
.8165
.8198
.8262
.8324
.8355
.8638
.8385
.8473
.8501
.8557
.8584
.8611
.8859
.9070
1.4
.8812
.9031
1.5
.8664
.8904
.8690
.8715
.8740
.8764
.8990
.9181
.8789
.8836
.8882
1.6
.8926
.8948
.8969
.9011
.9051
.9090
1.7
.9109
.9127
.9146
.9164
.9199
.9216
.9233
.9249
.9265
.9281
.9426
.9297
.9439
1.8
.9312
.9451
.9328
.9342
.9357
.9371
9385
.9399
.9412
1.9
.9464
.9478
.9488
.9500
.9512
.9523
.9534
.9596
9684
.9625
.9707
2.0
.9545
.9556
.9651
.9566
.9576
.9586
.9606
.9615
9700
.9634
2.1
.9643
.9660
.9668
.9676
.9692
.9715
2.2
.9722
.9729
.9736
.9743
.9749
.9756
.9762
.9768
.9774
.9780
9791
2.3
2.4
.9817
.9861
.9832
.9872
.9904
.9786
.9797
.9802
.9807
.9812
.9822
.9827
.9845
.9883
.9853
.9889
.9865
9898
.9836
.9840
.9857
.9892
.9849
.9869
2.5
.9876
.9879
.9886
.9895
.9901
2.6
.9907
.9909
.9912
.9915
.9917
.9920
.9922
.9924
.9926
.9929
.9933
.9937
.9940
.9956
2.7
.9931
.9935
.9939
.9942
.9944
.9946
.9947
2.8
.9949
.9950
.9952
.9953
.9955
.9958
.9959
.9960
.9961
2.9
.9963
.9964
.9965
.9966
.9967
.9968
.9969
.9970
.9971
.9972
3.0
.9973
.9974
.9975
.9982
.9987
.9976
.9976
.9977
.9984
.9978
.9979
.9979
.9980
3.1
.9981
.9981
.9983
.9983
.9984
.9985
.9985
.9986
3.2
.9986
.9987
.9988
.9988
.9988
.9989
9989
.9990
.9990
3.3
3.4
.9991
.9994
.9992
9995
.9993
.9995
9997
.9990
.9991
.9991
.9992
9992
9992
.9993
.9995
.9993
.9994
.9994
.9994
.9994
.9995
3.5
.9995
,9996
.9996
.9996
9996
.9996
.9996
.9996
.9997
Transcribed Image Text:STANDARD NORMAL DISTRIBUTION TABLE Values given are the proportions for the area under the normal curve between u – zo and u + zo. The total area under the curve is one. .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .0000 .0797 .0239 .1034 .0478 .1271 2051 .0558 .1350 .0 .0080 .0319 .0399 .0638 .1428 .0160 .0717 .1 .0876 .0955 .1113 .1192 .1507 .1585 .2358 .3108 .1974 .2737 .1663 .1741 .1897 .2128 .2886 .2205 .2961 .3688 .2 .1819 .2282 .2510 .3255 .3 .2434 .2586 3328 .2661 .2812 .3035 .3182 .3899 .4 .3401 .3473 .3545 .3616 .3759 .4039 .4713 .5346 .5935 .4313 .4971 .5587 .5 .3829 .3969 .4108 .4177 .4245 .4381 .4448 .6 .4515 .4581 .4647 .4778 .4843 .4907 .5035 .5098 .5161 .5763 .6319 .6827 .7 .5223 .5285 .5407 .5467 .5527 .5646 .5705 .5878 .6424 .6923 .7373 .6157 .6680 .7154 7580 .6211 .6729 7199 7620 .8 .5821 .5991 .6047 .6102 .6265 .9 .6372 .6476 .6528 .6579 .6629 .6778 .6875 7330 .7017 .7457 .7243 .7660 1.0 .6970 .7063 .7109 1.1 .7287 .7415 .7499 .7540 1.2 .7699 .7737 .7775 .7813 .7850 .7887 .7923 .7959 .7995 .8029 .8230 .8529 1.3 .8064 .8293 .8098 .8415 .8132 .8444 .8165 .8198 .8262 .8324 .8355 .8638 .8385 .8473 .8501 .8557 .8584 .8611 .8859 .9070 1.4 .8812 .9031 1.5 .8664 .8904 .8690 .8715 .8740 .8764 .8990 .9181 .8789 .8836 .8882 1.6 .8926 .8948 .8969 .9011 .9051 .9090 1.7 .9109 .9127 .9146 .9164 .9199 .9216 .9233 .9249 .9265 .9281 .9426 .9297 .9439 1.8 .9312 .9451 .9328 .9342 .9357 .9371 9385 .9399 .9412 1.9 .9464 .9478 .9488 .9500 .9512 .9523 .9534 .9596 9684 .9625 .9707 2.0 .9545 .9556 .9651 .9566 .9576 .9586 .9606 .9615 9700 .9634 2.1 .9643 .9660 .9668 .9676 .9692 .9715 2.2 .9722 .9729 .9736 .9743 .9749 .9756 .9762 .9768 .9774 .9780 9791 2.3 2.4 .9817 .9861 .9832 .9872 .9904 .9786 .9797 .9802 .9807 .9812 .9822 .9827 .9845 .9883 .9853 .9889 .9865 9898 .9836 .9840 .9857 .9892 .9849 .9869 2.5 .9876 .9879 .9886 .9895 .9901 2.6 .9907 .9909 .9912 .9915 .9917 .9920 .9922 .9924 .9926 .9929 .9933 .9937 .9940 .9956 2.7 .9931 .9935 .9939 .9942 .9944 .9946 .9947 2.8 .9949 .9950 .9952 .9953 .9955 .9958 .9959 .9960 .9961 2.9 .9963 .9964 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 3.0 .9973 .9974 .9975 .9982 .9987 .9976 .9976 .9977 .9984 .9978 .9979 .9979 .9980 3.1 .9981 .9981 .9983 .9983 .9984 .9985 .9985 .9986 3.2 .9986 .9987 .9988 .9988 .9988 .9989 9989 .9990 .9990 3.3 3.4 .9991 .9994 .9992 9995 .9993 .9995 9997 .9990 .9991 .9991 .9992 9992 9992 .9993 .9995 .9993 .9994 .9994 .9994 .9994 .9995 3.5 .9995 ,9996 .9996 .9996 9996 .9996 .9996 .9996 .9997
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