TABLE 1 CUMULATIVE PROBABILITIES FOR THE STANDARD NORMAL. DISTRIBUTION (Continw) Cumalive protubiliy Entries in the tahle pive the area undker the curve lo the left of the z val. Far esaple, for 2-1.25, te caline protuhility is 44 as 0 5000 S080 3120 S160 3199 5239 S319 539 54 S4T8 SS17 s557 5636 2 5193 A179 6554 5832 217 6591 5871 910 98 5987 6255 293 331 6628 S714 S153 6103 6141 640 617 6844 6879 443 600 6136 ST2 15 2019 7123 7157 7224 7257 7291 7324 7357 7389 7422 7454 J4 517 7549 7580 7611 7642 .7673 7704 7734 TT64 T194 823 7852 7881 7910 7939 7967 7995 23 S051 S078 SI33 KI86 K212 K238 K264 315 K365 A531 554 8577 8621 10 11 8413 8438 8729 1.2 8849 907 925 3944 3962 80 997 015 13 9019 9OK2 099 9115 9131 9147 9162 9177 14 9192 9207 9222 9236 9251 9265 9 9292 9319 15 9332 3452 9554 9345 9357 9370 9394 9418 9429 9441 16 9463 9474 9484 3495 950s 615 545 1.7 9564 9573 9582 9591 9599 SR 616 9625 633 18 9641 9649 9656 9664 9671 9678 966 9699 06 1.9 9713 9719 .9726 32רפ. 9138 ST56 S761 9767 20 9172 983 9788 817 857 21 9821 9826 9834 9842 875 987s 9846 S854 22 9861 S887 80 23 9896 9898 901 9904 90 9909 9911 S913 916 24 918 927 929 931 932 934 2.5 938 940 941 943 945 26 961 S963 964 2.7 965 966 967 968 A70 971 972 S973 974 28 29 914 9975 9982 9976 N78 99 99 0 981 9984 9981 9982 9983 9984 9985 9985 30 9987 9987 9987 9988 9988 999 999 9990 9990

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = 0.17 and a sample of 600 households will be selected from the population. Use z-table.

Calculate (), the standard error of the proportion of households spending more than $100 per week on groceries (to 4 decimals).
What is the probability that the sample proportion will be within +/- 0.03 of the population proportion (to 4 decimals)?
What is the probability that the sample proportion will be within +/- 0.03 of the population proportion for a sample of 1,300 households (to 4 decimals)?

TABLE 1 CUMULATIVE PROBABILITIES FOR THE STANDARD NORMAL.
DISTRIBUTION (Continw)
Cumalive
protubiliy
Entries in the tahle
pive the area undker the
curve lo the left of the
z val. Far esaple, for
2-1.25, te caline
protuhility is 44
as
0 5000
S080 3120
S160
3199
5239
S319 539
54
S4T8 SS17 s557
5636
2 5193
A179
6554
5832
217
6591
5871 910 98 5987
6255 293 331
6628
S714 S153
6103 6141
640 617
6844 6879
443
600
6136 ST2
15
2019
7123
7157
7224
7257 7291
7324
7357
7389
7422 7454 J4
517 7549
7580 7611 7642
.7673
7704 7734 TT64 T194 823
7852
7881
7910 7939
7967
7995
23 S051 S078
SI33
KI86 K212
K238
K264
315
K365
A531
554 8577
8621
10
11
8413
8438
8729
1.2
8849
907 925 3944
3962 80 997 015
13
9019
9OK2 099
9115 9131 9147 9162 9177
14
9192 9207
9222
9236
9251 9265 9
9292
9319
15
9332
3452
9554
9345
9357 9370
9394
9418
9429
9441
16
9463
9474
9484
3495 950s 615
545
1.7
9564
9573 9582 9591 9599
SR 616 9625 633
18
9641
9649
9656
9664
9671
9678 966
9699 06
1.9
9713
9719
.9726
32רפ.
9138
ST56
S761
9767
20
9172
983
9788
817
857
21
9821
9826
9834
9842
875 987s
9846
S854
22
9861
S887 80
23
9896
9898 901
9904 90
9909
9911
S913 916
24
918
927
929 931
932
934
2.5
938
940
941
943 945
26
961
S963 964
2.7 965
966 967
968
A70 971 972 S973 974
28
29
914
9975
9982
9976
N78 99 99 0 981
9984
9981
9982
9983
9984
9985 9985
30
9987
9987
9987
9988 9988
999 999
9990
9990

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