Piano No. Piano Weight (Ibs.) 1 867 2 1007 3 1194 Previous Mean 825 Ibs. 4 902 Previous Std. Dev. 37.5 Ibs. 907 6 917 7 1141 8 1185 9 964 10 1140 11 1035 12 1043 13 1097 14 923 15 1153 16 1004 17 1062 18 967 19 1025 20 1003

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1. Piano Weights
Piano No. Piano Weight (Ibs.)
1
867
2
1007
3
1194
Previous Mean
825 Ibs.
4
902
Previous Std. Dev.
37.5 Ibs.
5
907
917
7
1141
8
1185
9.
964
10
1140
11
1035
12
1043
13
1097
14
923
15
1153
16
1004
17
1062
18
967
19
1025
20
1003
Are these weights surprising?
Yes / No
Transcribed Image Text:1. Piano Weights Piano No. Piano Weight (Ibs.) 1 867 2 1007 3 1194 Previous Mean 825 Ibs. 4 902 Previous Std. Dev. 37.5 Ibs. 5 907 917 7 1141 8 1185 9. 964 10 1140 11 1035 12 1043 13 1097 14 923 15 1153 16 1004 17 1062 18 967 19 1025 20 1003 Are these weights surprising? Yes / No
A sample of 20 upright piano weights is taken as listed in the Excel sheet. From previous data,
you know that these weights are normally distributed with a mean of 825 pounds with a
standard deviation of 37.5 pounds. Is the average weight of this sample surprising compared to
the typical value of a sample of 20 upright pianos? Be careful on which values you use in your
answer to this question. You may use any statistical measure of a surprising event that we have
used in class; however simple or more involved.
Transcribed Image Text:A sample of 20 upright piano weights is taken as listed in the Excel sheet. From previous data, you know that these weights are normally distributed with a mean of 825 pounds with a standard deviation of 37.5 pounds. Is the average weight of this sample surprising compared to the typical value of a sample of 20 upright pianos? Be careful on which values you use in your answer to this question. You may use any statistical measure of a surprising event that we have used in class; however simple or more involved.
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