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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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
Expert Solution
Step 1

Given values,

μ=200σ=24n=9x¯=180

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman