Unknown to a quality assurance technician, the tensile strengths (in pounds per

Question

Unknown to a quality assurance technician, the tensile strengths (in pounds per square inch, psi) for all 500 heavy-duty construction bolts in a recent shipment are as listed in file XR04074. Because a bolt must be broken to measure its strength, the testing process is destructive. The technician plans to collect a simple random sample of 20 bolts, then measure how much tension each one withstands before it breaks. Generate the simple random sample and compute its mean breaking strength. Assuming that the bolt manufacturer has advertised that, on average, such bolts will withstand 10,000 psi, refer to your sample result in commenting on the manufacturer’s claim. (We will discuss the use of sample data in evaluating claims in much greater detail in Chapter 10, Hypothesis Testing.)

file(XR04074) .

tensile

file(XR04074) .

tensile

10102 10083 10046 10049 10045 10083 10222 10206 10150 10254 10026 10090 10024 10021 10012 10184 10000 10132 10136 10087 10156 10102 10077 10086 10103 10173 10117 10161 10256 10088 10147 10104 10094 10174 10148 10111 10077 10174 10197 10146 10108 10209 10033 10071 10136 10088 10034 10127 10131 10024 9988 10105 10141 10042 10104 9992 10194 10005 10001 10209 9989 10109 10094 10065 10146 10075 10024 9984 10177 10089 10199 10050 10100 10012 9962 10060 10157 10257 10129 10010 10102 10134 10129 10159 10134 10152 10069 10010 10092 10009 10087 10116 10000 10071 10131 10111 10048 10053 10144 9977 10041 10199 10050 10118 10181 10082 10154 10127 9950 10144 10193 10119 10079 10168 10022 10116 10194 10039 10211 10028 10179 9986 10109 10063 10127 10201 10024 10037 10143 10073 9977 10121 10162 10047 10036 10236 10138 10139 10108 10065 10169 10101 10116 10205 10138 10131 10069 10130 10193 10140 9972 10128 10048 10007 10234 10079 10216 10040 10042 10173 10048 10114 10169 9956 10067 10194 10095 10018 10088 10110 10130 10075 10049 10189 10156 10034 9990 10046 10103 10054 10275 10079 10174 10109 10125 10026 10073 10105 10009 10210 10034 10047 10170 10091 9910 10182 10090 10148 10214 10157 10258 10042 10065 10150 10030 10108 10082 10011 10143 10198 10021 10271 10057 10045 10073 10067 10152 10171 9977 10083 10095 9969 10148 10069 10095 10060 10186 10024 10103 10105 10118 10071 10139 9982 10103 10081 10133 10117 10128 10076 10129 10103 10159 10112 10162 10068 10136 9923 10122 10104 10066 10109 10094 10103 9896 10087 10234 10137 10136 9952 10054 10048 10176 10030 10109 10203 10182 10031 9993 10127 10055 10106 10034 10128 10080 10111 10101 10083 10071 10131 10052 9911 10117 10168 10215 10107 10089 10139 10192 10134 10128 10073 9952 10088 10091 10056 10113 10096 10118 10205 10043 10187 10152 10168 10068 10089 9923 10091 10097 10123 10058 10043 9993 10149 10001 10037 10046 10148 10206 10017 10052 9980 10126 10180 10097 10215 10114 10142 10119 10188 10150 10060 10094 10065 9935 10100 10080 10110 10107 10242 10129 10125 10233 10111 10141 10134 10013 10062 10054 10065 10069 10130 10115 10183 10074 10224 10029 10050 10107 10067 10032 10083 10067 10117 10019 10154 10167 10151 10192 10120 10107 10113 10054 10073 10182 10027 9886 10039 9991 10154 10052 10031 10149 10068 10275 10112 10011 10059 10253 10156 10113 10085 10059 10088 10133 10050 10216 10070 10252 10074 10003 10067 10195 10208 10109 10154 10147 10137 10133 10073 10060 10105 10097 10136 10095 10025 10046 10022 10073 10085 10221 10002 10037 9937 10128 10094 10041 10043 10068 10151 10094 10100 10083 10140 10127 10152 10109 10058 10069 10061 10000 10109 10051 10158 10065 10071 10238 10095 10104 10089 10081 10164 10065 10049 10019 10002 10123 10094 10265 10054 10024 10073 10073 10079 10144 10100 10025 10036 10133 10001 10200 10162 10129 10055 10230 10055 10075 10138 10058 10073 10194 10002 10076 10062 10166 10108 10018 10177 10116 10166 10128 10195 10034 10093 10103 10050 10062 10103 9981 10111

Explanation / Answer

Sol)

From Excel Rand() function the random sample of size 20 is

sample Mean=sum of observations / number of observations

=10089.35

Sno Random number tensile samples 401 0.00155384 10003 1 65 0.002049875 10146 2 459 0.002576374 10265 3 181 0.003341241 10275 4 116 0.004797704 10116 5 281 0.009942324 10052 6 225 0.010089776 10095 7 273 0.019605564 10034 8 195 0.020847499 9910 9 351 0.023753558 10069 10 54 0.028915885 10042 11 233 0.033837291 10139 12 15 0.036208614 10012 13 48 0.036237069 10127 14 494 0.038390693 10093 15 448 0.040558566 10095 16 109 0.046882059 9950 17 330 0.053766827 10188 18 161 0.054374718 10048 19 491 0.057133412 10128 20

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