Question

Midterm2: 2016-2017 The number of points a basketball team has scored in last 10 games is given below. 87, 111, 110, 99, 109, 113, 121, 115, 105, 109 a. For the given dataset fill the table below, draw the box plot and indicate any outliers. b. It is known that the number of points scored by the basketball team in a game is normal distributed with mean 106 and standard deviation 9. Using the most appropriate approximation, i. find the probability that the sample mean of the number of points scored by this team in any 10 games will be higher than 110 (i.e., $P(X > 110)=?$) when standard deviation is unknown ii. Repeat b.i. when standard deviation is known. Summary Statistics Sample size: 10 Median: Minimum: Maximum: First Quartile ($Q_1$): Third Quartile ($Q_3$): Interquartile Range: Outlier(s):

          Midterm2: 2016-2017
The number of points a basketball team has scored in last 10 games is given
below.
87, 111, 110, 99, 109, 113, 121, 115, 105, 109
a. For the given dataset fill the table below, draw the box plot and indicate any
outliers.
b. It is known that the number of points scored by the basketball team in a
game is normal distributed with mean 106 and standard deviation 9. Using
the most appropriate approximation,
i. find the probability that the sample mean of the number of points scored
by this team in any 10 games will be higher than 110 (i.e., $P(X > 110)=?$) 
when standard deviation is unknown
ii. Repeat b.i. when standard deviation is known.
Summary Statistics
Sample size:
10
Median:
Minimum:
Maximum:
First Quartile ($Q_1$):
Third Quartile ($Q_3$):
Interquartile Range:
Outlier(s):

Midterm2: 2016-2017
The number of points a basketball team has scored in last 10 games is given
below.
87, 111, 110, 99, 109, 113, 121, 115, 105, 109
a. For the given dataset fill the table below, draw the box plot and indicate any
outliers.
b. It is known that the number of points scored by the basketball team in a
game is normal distributed with mean 106 and standard deviation 9. Using
the most appropriate approximation,
i. find the probability that the sample mean of the number of points scored
by this team in any 10 games will be higher than 110 (i.e., P(X > 110)=?)
when standard deviation is unknown
ii. Repeat b.i. when standard deviation is known.
Summary Statistics
Sample size:
10
Median:
Minimum:
Maximum:
First Quartile (Q1):
Third Quartile (Q3):
Interquartile Range:
Outlier(s):

Added by Billy S.

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