The president of Doerman Distributors, Inc., believes that 33% of the firm's orders come from first-time customers. A simple random sample of 100 orders will be used to estimate the proportion of first-time customers. Use z-table.

Assume that the president is correct and p = 0.33. What is the sampling distribution offor this study?

Select

What is the probability that the sample proportion will be between .26 and .40 (to 4 decimals)?

What is the probability that the sample proportion will be between .31 and .35 (to 4 decimals)?

Ztable.png (680x8 x X C A cnow.apps.ng.cengage.com/ilrn/books/ases08h/images/tables/Ztable.png TABLE 1 CUMULATIVE PROBABILITIES FOR THE STANDARD NORMAL DISTRIBUTION (Continued) Cumulative Entries in the table probability give the area under the curve to the left of the z value. For example, for z = 1.25, the cumulative probability is .8944. 0 Z 01 .03 04 .05 06 07 5080 .5120 5160 5199 5239 5279 5319 5359 5000 5040 5517 5557 5596 5636 5675 5714 5753 539 5438 5478 6141 5793 5832 5871 5910 5948 5987 6026 6064 6103 6406 .6443 6480 6517 6217 6255 6368 .6179 .6293 6331 .6736 6772 6808 6844 6879 6554 6591 6628 .6664 6700 .7190 7224 5 .6915 6950 6985 7019 .7054 7083 .7123 .7157 .6 .7257 .7389 7454 .7549 .7291 7324 .7357 .7422 .7486 .7517 773 .7764 -7794 .7823 .7852 .7580 .7611 -7642 .7673 .7704 .8051 .8078 .8106 .8133 7881 .7910 .7939 .7967 .7995 8023 .8315 8389 8186 8212 8238 .8264 8340 .8365 8159 8621 1.0 8413 8438 8461 .8485 8508 .8531 .8554 -8577 .8599 874 .8770 -8790 .8830 1.1 8643 8686 .8708 .8729 8944 .9015 1.2 .8925 .8962 -8980 .8997 8849 8888 .8907 9049 9066 908 9099 9115 9131 9147 9162 9177 13 .9032 9319 926 9279 9292 9306 14 .9192 9207 9222 .9236 9251 9429 9441 15 .9332 9345 9357 9370 9382 9394 9406 9418 9505 9515 9525 .9535 9545 1.6 9452 .9463 9474 .9484 9495 9573 .9582 9591 9409 0608 9616 9625 9633 1.7 .9554 .9564 9678 9686 .9693 9699 9706 1.8 9641 .9649 9656 9664 9671 9750 9756 9761 9767 1.9 9744 .9713 9719 9726 9732 9738 .9817 9772 8LL6' .9783 .9788 9793 .9798 .9803 9808 .9812 2.0 9854 9857 9821 .9826 9830 983 9838 984 9846 9850 2.1 9887 .9890 2.2 9861 .9864 9868 9871 9875 9878 9881 9884 9906 9909 991 0913 .9916 2.3 989 .9896 9898 9901 .9904 9929 9931 9912 9934 9936 2.4 9918 9920 9922 9925 9927 9952 9935 9940 9941 9943 9945 9946 9948 9949 9951 2.5 9960 9961 .9962 9963 .9964 2.6 9953 .9955 .9956 .9957 .9959 .9971 .9972 9973 .9974 2.7 9965 .9966 9967 ,9968 9969 9970 9980 9981 2.8 9974 .9975 9976 9977 9977 9978 9979 9979 9986 9986 2.9 998 9982 9982 9983 9984 9984 9985 9985 9988 .9989 9989 9989 9090 9990 3.0 9987 .9987 9987 .9988 6 7 9:24 D