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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 181 lb. The new population of pilots has n 145 lb and a standard deviation of 30.7 lb. Click here to view page 1 of the standard normal distribution. Click here to view page 2 of the standard normal distribution. a. If a pilot is randomly selected, find the probability that his weight is between 140 lb and 181 Ib. The probability is approximately (Round to four decimal places as needed.) b. If 38 different pilots are randomly selected, find the probability that their mean weight is between 140 lb and 181 Ib. The probability is approximately . (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? O A. Part (a) because the seat performance for a single pilot is more important. O B. Part (b) because the seat performance for a single pilot is more important. O C. Part (a) because the seat performance for a sample of pilots is more important.

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 181 lb. The new population of pilots has n 145 lb and a standard deviation of 30.7 lb. Click here to view page 1 of the standard normal distribution. Click here to view page 2 of the standard normal distribution. a. If a pilot is randomly selected, find the probability that his weight is between 140 lb and 181 Ib. The probability is approximately (Round to four decimal places as needed.) b. If 38 different pilots are randomly selected, find the probability that their mean weight is between 140 lb and 181 Ib. The probability is approximately . (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? O A. Part (a) because the seat performance for a single pilot is more important. O B. Part (b) because the seat performance for a single pilot is more important. O C. Part (a) because the seat performance for a sample of pilots is more important.

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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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 145 lb and a standard deviation of 30.7 Ib. Click here to view page 1 of the standard normal distribution. Click here to view page 2 of the standard normal distribution, a. If a pilot is randomly selected, find the probability that his weight is between 140 Ib and 181 Ib. The probability is approximately - (Round to four decimal places as needed.) b. If 38 different pilots are randomly selected, find the probability that their mean weight is between 140 lb and 181 lb. The probability is approximately. (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? O A. Part (a) because the seat performance for a single pilot is more important. O B. Part (b) because the seat performance for a single pilot is more important. O C. Part (a) because the seat performance for a sample of pilots is more important.
Transcribed Image Text:An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 145 lb and a standard deviation of 30.7 Ib. Click here to view page 1 of the standard normal distribution. Click here to view page 2 of the standard normal distribution, a. If a pilot is randomly selected, find the probability that his weight is between 140 Ib and 181 Ib. The probability is approximately - (Round to four decimal places as needed.) b. If 38 different pilots are randomly selected, find the probability that their mean weight is between 140 lb and 181 lb. The probability is approximately. (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? O A. Part (a) because the seat performance for a single pilot is more important. O B. Part (b) because the seat performance for a single pilot is more important. O C. Part (a) because the seat performance for a sample of pilots is more important.
an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 181 Ib. The new population of pilots ha of 30.7 lb. standard normal distribution. standard normal Standard normal distribution table (page 1) . (Round to fo lower .0001 mly selected, find .0003 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0002 - 3.3 .0005 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0004 .0003 (Round to fo -3.2 .0007 .0007 .0006 .0006 .0006 .0006 .0006 .0005 .0005 .0005 -3.1 .0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 .0007 n seat, which pro .0012 .0012 .0011 .0011 .0010 .0010 -3.0 .0013 .0013 .0013 .0011 - 2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 - 2.8 h0026 .0025 .0021 .0020 .0024 .0023 .0023 .0022 .0021 .0019 at performance fo -2.7 .0035 .0034 .0033 .0032 .0031 .0030 .0029 .0028 .0027 .0026 .0036 at performance fo .0038 -2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0039 .0037 -2.5 .0062 .0060 .0059 .0057 .0055 .0054 .0052 .0051 .0049 .0048 eat performance fo .0066 .0064 -2.4 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 eat performance fo .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0084 -2.3 .0107 .0104 .0136 .0129 .0125 .0122 .0119 .0116 .0113 .0110 -2.2 .0139 .0132 .0170 .0166 .0162 .0158 .0154 .0150 .0146 .0143 -2.1 .0179 .0174 .0228 .0222 .0217 .0212 .0207 .0202 .0197 .0192 .0188 .0183 Tim -2.0 DOLL
Transcribed Image Text:an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 181 Ib. The new population of pilots ha of 30.7 lb. standard normal distribution. standard normal Standard normal distribution table (page 1) . (Round to fo lower .0001 mly selected, find .0003 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0002 - 3.3 .0005 .0005 .0005 .0004 .0004 .0004 .0004 .0004 .0004 .0003 (Round to fo -3.2 .0007 .0007 .0006 .0006 .0006 .0006 .0006 .0005 .0005 .0005 -3.1 .0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 .0007 n seat, which pro .0012 .0012 .0011 .0011 .0010 .0010 -3.0 .0013 .0013 .0013 .0011 - 2.9 .0019 .0018 .0018 .0017 .0016 .0016 .0015 .0015 .0014 .0014 - 2.8 h0026 .0025 .0021 .0020 .0024 .0023 .0023 .0022 .0021 .0019 at performance fo -2.7 .0035 .0034 .0033 .0032 .0031 .0030 .0029 .0028 .0027 .0026 .0036 at performance fo .0038 -2.6 .0047 .0045 .0044 .0043 .0041 .0040 .0039 .0037 -2.5 .0062 .0060 .0059 .0057 .0055 .0054 .0052 .0051 .0049 .0048 eat performance fo .0066 .0064 -2.4 .0082 .0080 .0078 .0075 .0073 .0071 .0069 .0068 eat performance fo .0102 .0099 .0096 .0094 .0091 .0089 .0087 .0084 -2.3 .0107 .0104 .0136 .0129 .0125 .0122 .0119 .0116 .0113 .0110 -2.2 .0139 .0132 .0170 .0166 .0162 .0158 .0154 .0150 .0146 .0143 -2.1 .0179 .0174 .0228 .0222 .0217 .0212 .0207 .0202 .0197 .0192 .0188 .0183 Tim -2.0 DOLL
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