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Posted on Jun 22, 2024

Question 4: Assume that females have pulse rates that are normally distributed with a mean of ?=75.0 beats per minute and a standard deviation of

Question 4:

Assume that females have pulse rates that are normally distributed with a mean of ?=75.0 beats per minute and a standard deviation of ?=12.5 beats per minute. Complete parts?(a) through?(c) below.

a. If 1 adult female is randomly?selected, find the probability that her pulse rate is less than 79 beats per minute.

The probability is ________.

?(Round to four decimal places as?needed.)

b. If 4 adult females are randomly?selected, find the probability that they have pulse rates with a mean less than 79 beats per minute.

The probability is _______.

?(Round to four decimal places as?needed.)

c. Why can the normal distribution be used in part?(b), even though the sample size does not exceed?30?

A. Since the original population has a normal?distribution, the distribution of sample means is a normal distribution for any sample size.

B. Since the distribution is of sample?means, not?individuals, the distribution is a normal distribution for any sample size.

C. Since the distribution is of?individuals, not sample?means, the distribution is a normal distribution for any sample size.

D. Since the mean pulse rate exceeds?30, the distribution of sample means is a normal distribution for any sample size.

Question 6:

Find the area of the shaded region. The graph to the right depicts IQ scores of?adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

Table 1

\fNEGATIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT Jo1 02 103 .04 06 07 .09 Lowper 10001 -34 DOOJ DOON 10003 0002 10005 DOOS 0004 10004 8004 0004 .0003 DOOT DOOT DOOS DODE 8006 10005 00OS DOUS -31 0009 0008 DOU -29 0019 -2.8 0026 6035 0024 8021 .8020 -27 10030 -26 10045 DO4 10040 10019 0062 DOLD 10039 10057 0049 0048 -24 10082 9078 10075 10071 10069 -23 10084 DIOT 10104 0102 0039 0089 0139 10136 0142 0:79 LOTM 0170 0162 10145 0143 -2.1 0179 10192 -2:0 10220 0232 0212 0207 10202 19 10287 0781 10768 0767 10250 10291 10359 D344 0134 0435 D-409 0592 0548 DSIT 0505 0455 0606 0594 10582 10694 0681 -14 10793 0708 10958 0957 10 94 1014 1020 098 1357 1314 1210 190 1421 MO -10 .1587 1841 7005 1972 71-48 -D.7 3420 25-46 2514 3451 -0.6 2/45 -0.5 1085 PORT 1409 1800 1764 1728 -04 1457 1520 TIME 1914 5897 -03 ATMM -01 -Do MODE For value of a below -145 use DIDO01 for the area "like these common values that result hom mierpalstion -1645 OOPDO -2515POSITIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT 106 100 5279 5000 9160 519 Sara 5517 19857 8596 SETS 5714 01 5398 6ADS 6517 6179 6255 6368 6480 04 6554 E678 6700 7054 7157 -7234 05 6515 6950 7015 7549 7257 7291 7324 1472 7852 7580 7642 7673 7704 3734 7823 7959 7967 7995 8738 8340 8365 8159 ac 8438 8461 BERS 8554 8577 8643 #770 6849 8975 8944 9049 9082 9039 5131 9207 9232 9256 9251 0345 9170 9953 9965 29 0656 180 Critical and up NOTE For waters of s above 149, we 05959 for the area Confidence | Critical values that re 05900Which graph represents the region in which thermometers are rejected? Choose the correct graph below. OA. OB. OC. O D. The cutoff values are degrees (Use a comma to separate answers as needed. Round to two decimal places as needed.)NEGATIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT 100 101 02 103 07 09 Lower 8001 -54 DOOL 0002 000S 0005 0004 DOGS 0005 DOOT DOOS -12 0OOT DODE 0005 -JI 0009 0009 000S 10009 0-0 08 -30 DOT OOM4 .0014 -20 10019 0025 0024 0072 10021 DOM 0078 0027 -27 10032 0029 -26 10 0-45 10043 0040 10039 -2.6 0063 0060 0:059 0057 0052 0051 -24 0062 0078 0075 0073 0071 0069 0089 -2.3 DIOT 0104 DO99 DOSE 0139 one -23 0136 -21 10179 0170 0166 GISO -20 10220 0222 0217 0212 0202 OBU 0256 0344 0733 0287 0274 0750 0301 029-4 0451 0409 0397 0367 0437 0455 05-48 0526 0516 0505 0641 0594 0655 0610 10606 0582 0559 0778 0764 0735 or 0708 0823 1056 1020 1710 1357 In14 1292 1751 3401 1479 1587 1562 1549 1515 1611 1762 19-49 1923 2090 3041 7008 1977 3266 1206 -07 2527 2348 -06 2745 2109 3676 3677 2643 2610 -0.5 sons 3050 1228 -04 34 46 3612 3557 1520 -03 1871 3897 1859 4090 -03 4707 4404 4364 5000 NOTE: For value of a below -149, um O pool for the area in that result from interpolation -LG45 -2575POSITIVE z Scores Standard Normal (2) Distribution: Cumulative Area from the LEFT 02 DE 5459 500 9040 5755 5478 5517 8675 539 $596 S795 5910 LONG 6368 6406 6480 6179 6717 6755 6700 6735 687 6554 6597 05 6950 6985 7054 POBA 7157 7234 7549 7257 7174 7357 7189 MSA 7642 7673 7704 7734 7852 7681 7959 7967 7985 8365 8186 8413 BASS 8508 8554 8577 8599 8665 8729 8849 8975 9012 9045 9082 9207 9022 9056 9251 9345 $357 #370 9474 9573 9582 5656 9726 14 Confidence | Critics "Live White com Lomi Area 1845 7:575 2.571\fPOSITIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT 02 06 5080 5130 5160 5270 5455 01 5498 547B 5517 5557 5636 5675 5753 07 5871 5910 6141 5179 6217 6255 6406 6445 6517 6554 6591 6678 6700 6772 6808 6879 05 6915 6950 6985 7054 7123 7157 7190 7224 7257 7291 7574 7357 7189 7432 2454 7517 7549 7580 7642 7673 7704 7734 7794 7852 7681 7959 7957 7995 8051 6078 8159 AIRS 8712 8340 8365 LO 8-461 BARS 8531 8554 8577 8599 8643 8708 8729 8745 8770 17 6849 8907 8967 9032 9049 SOEE 9062 9099 9207 9722 9716 9251 9279 9357 9370 9387 9394 9474 9486 9495 9505 9573 9582 9591 9539 9656 5664 9671 9678 9726 9783 9830 33 6865 and up con Critical Vela Off: For valuesofar above 129, win 0:59:93 for the a Confidence | Critical Live there comm 1845 1645 0.9500 0.9950NEGATIVE z Scores Standard Normal (2) Distribution: Cumulative Area from the LEFT 102 104 07 OH -150 0001 DOOL 0003 OOOS 0003 0002 -1.1 DOOS 0004 9004 0905 DOOS -32 DOOT -31 0009 10:008 DOOT -10 DOLL -29 0014 -28 10026 0924 10021 10071 DO20 10-035 DOES 10025 -2.7 10079 10:027 -26 DID45 DO4 0039 -25 DOST DOSS 0052 0049 -24 10.062 0078 0075 10071 0064 DO84 -23 0107 0104 -2.2 0139 019 0150 -11 0179 0162 0154 -20 0328 0232 0217 6202 0368 0256 0250 COMA -19 0287 10351 031 loso7 .0359 DATE OJ84 -17 D:409 0467 -16 DSIT 0526 10505 $0606 0594 0583 0571 10559 -15 0658 0643 0778 10721 0708 -14 -1.1 10951 0914 0869 10% 1020 1003 -1I 1357 1292 1251 1710 -10 1587 1562 1660 -05 1841 1814 1768 1736 2719 2090 7005 -07 2420 3266 -0.6 2708 MAI 3546 3085 J.196 -D.A 1409 3530 3831 4063 1897 4207 5000 NOTE For values of a blow -149, use 0 0001for By ama "Use these common volum that result from inimpulstion Arna -1645 -25/5 10.0 050\fNEGATIVE z Scores Standard Normal (2) Distribution: Cumulative Area from the LEFT 02 103 04 07 09 and lower 1090J DOOT 0003 DOOS 10:005 0004 DO04 OOO4 0004 1000S DDOT DOOT DOCS DODE 0:00S 9005 -$1 OOK DOO 0013 0912 OUT 0010 COM -29 10019 DON 0014 0026 0025 100M 0023 10071 0021 DO34 0028 0047 0045 0043 0040 0039 2.5 0062 0059 0057 DOSS 0051 10049 10082 0078 10075 0073 0069 23 0107 10139 0132 0129 0125 DIM OHS 0145 0179 10166 0162 .0183 20 10228 0222 0213 0212 0207 0202 10192 0250 0219 0287 0281 0768 0767 0756 0399 0351 0344 0129 6023 .0301, 0294 DA36 0427 D409 10392 0175 O475 0456 0548 0537 0526 0582 0571 0559 OGEB 0655 0641 0606 0778 0735 0708 0681 DBOB 0791 10764 0951 0934 0318 OBSS 1003 1712 1054 1230 1357 1535 1792 1251 1587 1563 1515 1469 1479 18-41 1814 1788 2090 2005 1949 22.16 2420 2458 2427 2766 2706 2514 2451 2743 2709 7676 2578 3776 -05 1572 5264 1278 1192 3121 -04 1445 3409 3520 -03 1745 5642 1859 4168 409 4057 4015 1936 4707 4:404 4364 1386 -D.1 4562 4681 46-41 500D 1920 NOTE For values of a below -149, use 0 DOOl for Du area "Use these common values that mull for nierpotation Area -1645 0 0500 -2571 0 0050POSITIVE z Scores Standard Normal (2) Distribution: Cumulative Area from the LEFT 103 105 09 #120 5219 5398 SATE 551 5675 5714 5751 0.2 6064 6170 0.4 6554 65 6700 6808 6915 6950 7019 JOS4 7190 7224 7257 1291 7324 7157 THE 7486 7642 1704 7852 7580 7959 7995 BOST 8159 8315 8365 843 8438 8461 BARS 8508 .8554 8577 8621 LO 1.1 8643 8565 9:015 8849 8869 8967 8957 1.2 9093 THAT 1 62 3177 1.3 9032 9192 9207 9222 9251 9279 9292 9342 9345 9357 9408 9452 9495 9505 9515 9575 9554 9364 9591 9599 9041 9671 9678 9691 9695 9706 1.9 9713 9719 9726 9733 9738 9750 9756 9761 9767 SEOL 3808 9812 2.0 9772 9778 9857 9826 9830 1946 2850 9854 9821 98 8 9871 seal 9584 9890 9861 9901 9909 5013 9916 9893 9934 9936 9:918 1920 9925 9952 9940 5953 1955 9957 9974 9967 9968 2.8 9974 9975 9976 29 9902 9987 9950 9901 1665 9991 9993 5954 9597 9997 9399 a Critical Valu VOTE, For values of s above 149, ine 09953 for the area Confidence | Critical "Like these common values that result from interpolations Level 1645 0.9500 2575 2.575 0.9950Sketch the region. Choose the correct graph below. OA. OB. O C. OD. O 17 -1.17 1.17 -1.17 -1.17 The probability is (Round to four decimal places as needed.)