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The reading speed of second grade students in a large city is approximately normal, with a mean of 92 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). O A. If 100 different samples of n= 26 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of less than 97 words per minute. OB. If 100 different samples of n= 26 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of more than 97 words per minute. OC. If 100 different samples of n= 26 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of exactly 97 words per minute. (d) What effect does increasing the sample size have on the probability? Provide an explanation for this result. O A. Increasing the sample size decreases the probability because o, increases as n increases. OB. Increasing the sample size decreases the probability because o; decreases as n increases. OC. Increasing the sample size increases the probability because o, increases as n increases. OD. Increasing the sample size increases the probability because o, decreases as n increases. (e) A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 18 second grade students was 94.6 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to four decimal places as needed ) O A. A mean reading rate of 94.6 wpm is unusual since the probability of obtaining a result of 94.6 wpm or more is every 100 random samples of size n= 18 students. The new program is abundantly more effective than the old program. This means that we would expect a mean reading rate of 94.6 or higher from a population whose mean reading rate is 92 in of OB. Amean reading rate of 94.6 wpm is not unusual since the probability of obtaining a result of 94.6 wpm or more is of every 100 random samples of size n= 18 students. The new program is not abundantly more effective than the old program. This means that we would expect a mean reading rate of 94.6 or higher from a population whose mean reading rate is 92 in [f) There is a 5% chance that the mean reading speed of a random sample of 25 second grade students will exceed what value? There is a 5% chance that the mean reading speed of a random sample of 25 second grade students will exceed wpm. (Round to two decimal places as needed.)

The reading speed of second grade students in a large city is approximately normal, with a mean of 92 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). O A. If 100 different samples of n= 26 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of less than 97 words per minute. OB. If 100 different samples of n= 26 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of more than 97 words per minute. OC. If 100 different samples of n= 26 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of exactly 97 words per minute. (d) What effect does increasing the sample size have on the probability? Provide an explanation for this result. O A. Increasing the sample size decreases the probability because o, increases as n increases. OB. Increasing the sample size decreases the probability because o; decreases as n increases. OC. Increasing the sample size increases the probability because o, increases as n increases. OD. Increasing the sample size increases the probability because o, decreases as n increases. (e) A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 18 second grade students was 94.6 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to four decimal places as needed ) O A. A mean reading rate of 94.6 wpm is unusual since the probability of obtaining a result of 94.6 wpm or more is every 100 random samples of size n= 18 students. The new program is abundantly more effective than the old program. This means that we would expect a mean reading rate of 94.6 or higher from a population whose mean reading rate is 92 in of OB. Amean reading rate of 94.6 wpm is not unusual since the probability of obtaining a result of 94.6 wpm or more is of every 100 random samples of size n= 18 students. The new program is not abundantly more effective than the old program. This means that we would expect a mean reading rate of 94.6 or higher from a population whose mean reading rate is 92 in [f) There is a 5% chance that the mean reading speed of a random sample of 25 second grade students will exceed what value? There is a 5% chance that the mean reading speed of a random sample of 25 second grade students will exceed wpm. (Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Standard Normal Dist. Table 1

z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09
-3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0002
-3.3 .0005 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0004 .0003
-3.2 .0007 .0007 .0006 .0006 .0006 .0006 .0006 .0005 .0005 .0005
-3.1 .0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 .0007
-3.0 .0013 .0013 .0013 .0012 .0012 .0011 .0011 .0011 .0010 .0010
-2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014
-2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 .0019
-2.7 .0035 .0034 .0033 .0032 .0031 .0030 .0029 .0028 .0027 .0026
-2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0039 .0038 .0037 .0036
-2.5 .0062 .0060 .0059 .0057 .0055 .0054 .0052 .0051 .0049 .0048
-2.4 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 .0066 .0064
-2.3 .0107 .0104 .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0084
-2.2 .0139 .0136 .0132 .0129 .0125 .0122 .0119 .0116 .0113 .0110
-2.1 .0179 .0174 .0170 .0166 .0162 .0158 .0154 .0150 .0146 .0143
-2.0 .0228 .0222 .0217 .0212 .0207 .0202 .0197 .0192 .0188 .0182
-1.9 .0287 .0281 .0274 .0268 .0262 .0256 .0250 .0244 .0239 .0233
-1.8 .0359 .0351 .0344 .0336 .0329 .0322 .0314 .0307 .0301 .0294
-1.7 .0446 .0436 .0427 .0418 .0409 .0401 .0392 .0384 .0375 .0367
-1.6 .0548 .0537 .0526 .0516 .0505 .0495 .0485 .0475 .0465 .0455
-1.5 .0668 .0655 .0643 .0630 .0618 .0606 .0594 .0582 .0571 .0559
-1.4 .0808 .0793 .0778 .0764 .0749 .0735 .0721 .0708 .0694 .0681
-1.3 .0968 .0951 .0934 .0918 .0701 .0885 .0869 .0853 30838 .0823
-1.2 .1151 .1131 .1112 .1093 .1075 .1056 .1038 .1020 .1003 .0985
-1.1 .1357 .1335 .1314 .1292 .1271 .1251 .1230 .1210 .1190 .1170
-1.0 .1587 .1562 .1539 .1515 .1492 .1469 .1446 .1423 .1401 .1379
-0.9 .1841 .1814 .1788 .1762 .1736 .1711 .1685 .1660 .1635 .1611
-0.8 .2119 .2094 .2061 .2033 .2005 .1977 .1949 .1922 .1894 .1867
-0.7 .2420 .2389 .2358 .2327 .2296 .2266 .2236 .2206 .2177 .2148
-0.6 .2743 .2709 .2676 .2643 .2611 .2578 .2546 .2514 .2483 .2451
-0.5 .3085 .3050 .3015 .2981 .2947 .2912 .2877 .2843 .2810 .2776
-0.4 .3446 .3409 .3372 .3336 .3300 .3264 .3228 .3192 .3156 .3121
-0.3 .3821 .3783 .3745 .3707 .3669 .3632 .3594 .3557 .3520 .3483
-0.2 .4207 .4168 .4129 .4090 .4052 .4013 .3974 .3936 .3897 .3859
-0.1 .4602 .4562 .4522 .4483 .4443 .4404 .4364 .4325 .4286 .4247
-0.0 .5000 .4960 .4920 .4880 .4840 .4801 .4761 .4721 .4681 .4641

 

Standard Normal Dist. Table 2

z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09
0.0 .5000 .5040 .5080 .5120 .5160 .5199 .5239 .5279 .5319 .5359
0.1 .5398 .5438 .5478 .5517 .5557 .5596 .5636 .5675 .5714 .5753
0.2 .5793 .5832 .5871 .5910 .5948 .5987 .6026 .6064 .6103 .6141
0.3 .6179 .6217 .6255 .6293 .6331 .6368 .6406 .6443 .6480 .6517
0.4 .6554 .6591 .6628 .6664 .6700 .6736 .6772 .6808 .6844 .6879
0.5 .6915 .6950 .6985 .7019 .7054 .7088 .7123 .7157 .7190 .7224
0.6 .7257 .7291 .7324 .7357 .7389 .7422 .7454 .7486 .7517 .7549
0.7 .7580 .7611 .7642 .7673 .7704 .7734 .7764 .7794 .7823 .7852
0.8 .7881 .7910 .7939 .7967 .7995 .8032 .8051 .8078 .8106 .8133
0.9 .8159 .8186 .8212 .8238 .8264 .8289 .8315 .8340 .8365 .8389
1.0 .8413 .8438 .8461 .8485 .8508 .8531 .8554 .8577 .8599 .8621
1.1 .8643 .8665 .8686 .8708 .8729 .8749 .8770 .8790 .8810 .8830
1.2 .8849 .8869 .8888 .8907 .8925 .8944 .8962 .8980 .8997 .9015
1.3 .9032 .9049 .9066 .9082 .9099 .9115 .9131 .9147 .9162 .9177
1.4 .9192 .9207 .9222 .9236 .9251 .9265 .9279 .9292 .9306 .9319
1.5 .9332 .9345 .9357 .9370 .9382 .9394 .9406 .9418 .9429 .9441
1.6 .9452 .9463 .9474 .9484 .9495 .9505 .9515 .9525 .9535 .9545
1.7 .9554 .9564 .9573 .9582 .9591 .9599 .9608 .9616 .9625 .9633
1.8 .9641 .9649 .9656 .9664 .9671 .9678 .9686 .9693 .9699 .9706
1.9 .9713 .9719 .9726 .9732 .9738 .9744 .9750 .9756 .9761 .9767
2.0 .9772 .9778 .9783 .9788 .9793 .9798 .9803 .9808 .9812 .9817
2.1 .9821 .9826 .9830 .9834 .9838 .9842 .9846 .9850 .9854 .9857
2.2 .9861 .9864 .9868 .9871 .9875 .9878 .9881 .9884 .9887 .9890
2.3 .9893 .9896 .9898 .9901 .9904 .9906 .9909 .9911 .9913 .9916
2.4 .9918 .9920 .9922 .9925 .9927 .9929 .9931 .9932 .9934 .9936
2.5 .9938 .9940 .9941 .9943 .9945 .9946 .9948 .9949 .9951 .9952
2.6 .9953 .9955 .9956 .9957 .9959 .9960 .9961 .9962 .9963 .9964
2.7 .9965 .9966 .9967 .9968 .9969 .9970 .9971 .9972 .9973 .9974
2.8 .9974 .9975 .9976 .9977 .9977 .9978 .9979 .9979 .9980 .9981
2.9 .9981 .9982 .9982 .9983 .9984 .9984 .9985 .9985 .9986 .9986
3.0 .9987 .9987 .9987 .9988 .9988 .9989 .9989 .9989 .9990 .9990
3.1 .9990 .9991 .9991 .9991 .9992 .9992 .9992 .9992 .9993 .9993
3.2 .9993 .9993 .9994 .9994 .9994 .9994 .9994 .9995 .9995 .9995
3.3 .9995 .9995 .9995 .9996 .9996 .9996 .9996 .9996 .9996 .9997
3.4 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9997 .9998

The reading speed of second grade students in a large city is approximately normal, with a mean of 92 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). O A. If 100 different samples of n = 26 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of less than 97 words per minute. O B. If 100 different samples of n= 26 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of more than 97 words per minute. O C. If 100 different samples ofn= 26 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of exactly 97 words per minute. (d) What effect does increasing the sample size have on the probability? Provide an explanation for this result. O A. Increasing the sample size decreases the probability because o, increases as n increases. O B. Increasing the sample size decreases the probability because o, decreases as n increases. OC. Increasing the sample size increases the probability because o, increases as n increases. O D. Increasing the sample size increases the probability because o; decreases as n increases. (e) A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 18 second grade students was 94.6 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to four decimal places as needed.) O A. A mean reading rate of 94.6 wpm is unusual since the probability of obtaining a result of 94.6 wpm or more is This means that we would expect a mean reading rate of 94.6 or higher from a population whose mean reading rate is 92 in of every 100 random samples of size n = 18 students. The new program is abundantly more effective than the old program. O B. A mean reading rate of 94.6 wpm is not unusual since the probability of obtaining a result of 94.6 wpm or more is This means that we would expect a mean reading rate of 94.6 or higher from a population whose mean reading rate is 92 in of every 100 random samples of size n= 18 students. The new program is not abundantly more effective than the old program. (f) There is a 5% chance that the mean reading speed of a random sample of 25 second grade students will exceed what value? There is a 5% chance that the mean reading speed of a random sample of 25 second grade students will exceed wpm. (Round to two decimal places as needed.)
Transcribed Image Text:The reading speed of second grade students in a large city is approximately normal, with a mean of 92 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). O A. If 100 different samples of n = 26 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of less than 97 words per minute. O B. If 100 different samples of n= 26 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of more than 97 words per minute. O C. If 100 different samples ofn= 26 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of exactly 97 words per minute. (d) What effect does increasing the sample size have on the probability? Provide an explanation for this result. O A. Increasing the sample size decreases the probability because o, increases as n increases. O B. Increasing the sample size decreases the probability because o, decreases as n increases. OC. Increasing the sample size increases the probability because o, increases as n increases. O D. Increasing the sample size increases the probability because o; decreases as n increases. (e) A teacher instituted a new reading program at school. After 10 weeks in the program, it was found that the mean reading speed of a random sample of 18 second grade students was 94.6 wpm. What might you conclude based on this result? Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals rounded to four decimal places as needed.) O A. A mean reading rate of 94.6 wpm is unusual since the probability of obtaining a result of 94.6 wpm or more is This means that we would expect a mean reading rate of 94.6 or higher from a population whose mean reading rate is 92 in of every 100 random samples of size n = 18 students. The new program is abundantly more effective than the old program. O B. A mean reading rate of 94.6 wpm is not unusual since the probability of obtaining a result of 94.6 wpm or more is This means that we would expect a mean reading rate of 94.6 or higher from a population whose mean reading rate is 92 in of every 100 random samples of size n= 18 students. The new program is not abundantly more effective than the old program. (f) There is a 5% chance that the mean reading speed of a random sample of 25 second grade students will exceed what value? There is a 5% chance that the mean reading speed of a random sample of 25 second grade students will exceed wpm. (Round to two decimal places as needed.)
The reading speed of second grade students in a large city is approximately normal, with a mean of 92 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). (a) vWhat is the probability a randomly selected student in the city will read more than 97 words per minute? The probability is (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. O A. If 100 different students were chosen from this population, we would expect to read exactly 97 words per minute. O B. If 100 different students were chosen from this population, we would expect to read less than 97 words per minute. O C. If 100 different students were chosen from this population, we would expect to read more than 97 words per minute. (b) What is the probability that a random sample of 13 second grade students from the city results in a mean reading rate of more than 97 words per minute? The probability is (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. O A. If 100 different samples of n= 13 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of less than 97 words per minute. B. If 100 different samples of n = 13 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of exactly 97 words per minute. O C. If 100 different samples of n = 13 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of more than 97 words per minute. (c) What is the probability that a random sample of 26 second grade students from the city results in a mean reading rate of more than 97 words per minute? The probability is (Round to four decimal places as needed.)
Transcribed Image Text:The reading speed of second grade students in a large city is approximately normal, with a mean of 92 words per minute (wpm) and a standard deviation of 10 wpm. Complete parts (a) through (f). (a) vWhat is the probability a randomly selected student in the city will read more than 97 words per minute? The probability is (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. O A. If 100 different students were chosen from this population, we would expect to read exactly 97 words per minute. O B. If 100 different students were chosen from this population, we would expect to read less than 97 words per minute. O C. If 100 different students were chosen from this population, we would expect to read more than 97 words per minute. (b) What is the probability that a random sample of 13 second grade students from the city results in a mean reading rate of more than 97 words per minute? The probability is (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. O A. If 100 different samples of n= 13 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of less than 97 words per minute. B. If 100 different samples of n = 13 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of exactly 97 words per minute. O C. If 100 different samples of n = 13 students were chosen from this population, we would expect sample(s) to have a sample mean reading rate of more than 97 words per minute. (c) What is the probability that a random sample of 26 second grade students from the city results in a mean reading rate of more than 97 words per minute? The probability is (Round to four decimal places as needed.)
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