The data in the table represent a possible starting lineup for a basketball team. Use the data to answer parts (a) through (c). (Assume that sampling is without replacement.) Player Position Height (in.) A Center 83 Guard 76 Forward 80 Guard 72 Forward 80 a. Find the population mean height of the five players. µ = 78.2 inch(es) (Type an integer or a decimal. Do not round.) b. Consider samples of size 3 without replacement. Use the following table of sample means to find the mean, µz, of the variable, x. Sample А, В, С А, В, D А, В, Е А, С, D А, С, Е Heights 83, 76, 80 83, 76, 72 83, 76, 80 83, 80, 72 83, 80, 80 Sample A, D, E В, С, D В, С, Е B, D, E C, D, E Heights 83, 72, 80 76, 80, 72 76, 80, 80 76, 72, 80 80, 72, 80 79.67 78.33 77.00 76.00 79.67 78.67 78.33 76.00 81.00 77.33 H = inch(es) (Type an integer or decimal rounded to one decimal place as needed.) MCDE
The data in the table represent a possible starting lineup for a basketball team. Use the data to answer parts (a) through (c). (Assume that sampling is without replacement.) Player Position Height (in.) A Center 83 Guard 76 Forward 80 Guard 72 Forward 80 a. Find the population mean height of the five players. µ = 78.2 inch(es) (Type an integer or a decimal. Do not round.) b. Consider samples of size 3 without replacement. Use the following table of sample means to find the mean, µz, of the variable, x. Sample А, В, С А, В, D А, В, Е А, С, D А, С, Е Heights 83, 76, 80 83, 76, 72 83, 76, 80 83, 80, 72 83, 80, 80 Sample A, D, E В, С, D В, С, Е B, D, E C, D, E Heights 83, 72, 80 76, 80, 72 76, 80, 80 76, 72, 80 80, 72, 80 79.67 78.33 77.00 76.00 79.67 78.67 78.33 76.00 81.00 77.33 H = inch(es) (Type an integer or decimal rounded to one decimal place as needed.) MCDE
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 8PPS
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c. Find μx using only the result of part (a).
Transcribed Image Text:The data in the table represent a possible starting lineup for a basketball team. Use the
data to answer parts (a) through (c). (Assume that sampling is without replacement.)
Player Position Height (in.)
Center
83
В
Guard
76
Forward
80
Guard
72
Forward
80
a. Find the population mean height of the five players.
µ= 78.2 inch(es)
(Type an integer or a decimal. Do not round.)
b. Consider samples of size 3 without replacement. Use the following table of sample means to find the mean, µz, of the
variable, x.
Sample
А, В, С
А, В, D
А, В, Е
А, С, D
А, С, Е
Heights
83, 76, 80
83, 76, 72
83, 76, 80
83, 80, 72
83, 80, 80
Sample
A, D, E
В, С, D
В, С, Е
В, D, E
C, D, E
Heights
83, 72, 80
76, 80, 72
76, 80, 80
76, 72, 80
80, 72, 80
79.67
78.33
77.00
76.00
79.67
78.67
78.33
76.00
81.00
77.33
Hj = inch(es)
(Type an integer or decimal rounded to one decimal place as needed.)
ABCDE
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