SHOW DETAILS PLESE AND BE CLEAR.... THANK YOU! For the season so far, the Sierra
ID: 3257044 • Letter: S
Question
SHOW DETAILS PLESE AND BE CLEAR.... THANK YOU!
For the season so far, the Sierra College Women's Volleyball team has produced a mean of 10.76 assists per set with a standard deviation of 3.88 assists per set and a mean of 1.03 blocks per set with a standard deviation of 0.42 blocks per set. In their most recent match, the team recorded 15 assists per set and 3 blocks per set. (a) Relatively speaking, in their most recent match, did the Sierra College Women's Volleyball team have a better performance statistically in assists per set or blocks per set? (b) Classify as to the type of data and determine the level of measurement for the particular data item: the total number of matches the Sierra College Women's Volleyball team will win this season.Explanation / Answer
Answer to the part a)
In order to be able to compare the scores on the two games , we need to convert the scores into Z scores and then the game which has the higher value of Z is considered to have performed better
.
Formula of Z
Z = (x - M ) / s
.
For assists per set
We got :
x = 15
M = 10.76
s = 3.88
.
On plugging these values we get
z = (15 -10.76) / 3.88
z = 1.0928
.
For blocks , we got:
x = 3
M = 1.03
s = 0.42
.
On plugging the values we get:
z = (3 -1.03) / 0.42
z = 4.6905
.
Thus we find that the Z score for blocks 4.6905 > Z score for assists 1.0928
Thus the performance in blocks per set is better than the performance in assists per set
.
Answer to part b)
Number of matches is a quantitativee data
it is discrete
The level of emasurement is : Interval scale
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