7.2 STATISTICS
13. The mean incubation time for a type of fertilized egg kept at a certain temperature is 23 days. Suppose that the incubation times are approximately normal Print distributed with a standard deviation of 1 day. Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1). 28 Click here to view the standard normal distribution table (page 2).29 (a) Draw a normal model that describes egg incubation times of these fertilized eggs. Choose the correct graph below. Click here to view graph c. 30 O Click here to view graph d. 31 O Click here to view graph b. 32 Click here to view graph a. 33 (b) Find and interpret the probability that a randomly selected fertilized egg hatches in less than 21 days. The probability that a randomly selected fertilized egg hatches in less than 21 days is Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. O A. In every group of 100 fertilized eggs, eggs will hatch in less than 21 days. Round to the nearest integer as needed.) B. If 100 fertilized eggs were randomly selected, of them would be expected to hatch in less than 21 days. Round to the nearest integer as needed.) C. The average proportion of the way to hatching of all eggs fertilized in the past 21 days is Round to two decimal places as needed.) (c) Find and interpret the probability that a randomly selected fertilized egg takes over 25 days to hatch. The probability that a randomly selected fertilized egg takes over 25 days to hatch is (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. A. The average proportion of the way to hatching of all eggs fertilized more than 25 days ago is (Round to two decimal places as needed.) B. In every group of 100 fertilized eggs, eggs will hatch in more than 25 days. Round to the nearest integer as needed.) O C. If 100 fertilized eggs were randomly selected, of them would be expected to take more than 25 days to hatch. (Round to the nearest integer as needed.) (d) Find and interpret the probability that a randomly selected fertilized egg hatches between 22 and 23 days. The probability that a randomly selected fertilized egg hatches between 22 and 23 days is (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. O A. If 100 fertilized eggs were randomly selected, of them would be expected to hatch between 22 and 23 days. Round to the nearest integer as needed.) B. The average proportion of the way to hatching of all eggs fertilized between 22 and 23 days is Round to two decimal places as needed.) C. In every group of 100 fertilized eggs, eggs will hatch between 22 and 23 days. Round to the nearest integer as needed.) (e) Would it be unusual for an egg to hatch in less than 20 days? Why? The probability of an egg hatching in less than 20 days is so it (1) be unusual, since the probability is (2) than 0.05 (Round to four decimal places as needed.) 28: Standard Normal Distribution Table (page 1) Area Standard Normal Distribution 0.00 0.01 0.02 0.03 0.04 0.0 0.06 0.07 0.08 0.09 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 -32 0.0007 0.000 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 -3.1 0.0010 0.0009 0.0009 0.0009 2.0008 0.0008 0.0008 0.0008 0.0007 0.0007 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 -29 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -28 0.0026 0.0025 0.0024 .0023 9.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.7 0.0035 0.0034 0.0033 0.0032 .0031 0.0030 0.0029 0.0028 0.0027 0.0026 0.004 0,004S 0.0044 0.004 .0041 0.0040 0.0039 0.0038 0.0037 ).0036 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 0.0179 0.0174 0.0170 0.016 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 -2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -14 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 -13 0.096 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 -1.2 0.115 0.1131 0.1112 0.109 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 -1.1 0.135 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 -1.0 0.1587 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379 -0.9 0.184 0.1814 0.1788 0.176 0.1736 0.1711 D.168 0.1660 0.1635 0.1611 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1077 0.1949 0.1922 0.1894 0.1867 0.2420 0.2389 0.2358 0.232 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.245 -05 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 -0.3 0.382 0.3783 0.3745 0.3707 0.3669 0.3632 0.350 0.3557 0.3520 0.348 -0.2 0.4207 0.4168 0.4129 04090 0.4052 0.4013 0.3974 0.3936 0.3897 0.385 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 0.4641 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 29: Standard Normal Distribution Table (page 2)
