Question

In: Statistics and Probability

PLEASE COMPUTE THE FOLLOWING IN EXCEL and show the excel sheet, Thank you so much! The...

PLEASE COMPUTE THE FOLLOWING IN EXCEL and show the excel sheet, Thank you so much!

The following are the runs scored totals for 9 players for the 2016 New York Yankees: 56,43,63,68,58,80,71,32,19

(a) Find the mean and median

(b) Find the standard deviation of this population

(c) Considering this as a normal sample of American League players for the 2016 season, find a 99% Confidence Interval for the actual mean of Runs Scored for AL players, 2016 .

(d) Considering this as a normal sample of American League players for the 2016 season, find a 90% Confidence Interval for the actual mean of Runs Scored for AL players, 2016 .

Solutions

Expert Solution

(a) In order to find the mean and the median we use : 1. AVERAGE

2. MEDIAN

(b) In order to find Sd, we use STDEV

(C) we then find the confidence intervals.

(d)

The following table shows the measures

Runs scored Measures:
56
43 mean 54.44444
63 median 58
68 standard dev 19.65395
58 99% CI 16.87507
80 90% CI 10.77596
71
32
19

(c)

Considering this as a normal sample of American League players for the 2016 season, find a 99% Confidence Interval for the actual mean of Runs Scored for AL players, 2016 is given as:

(54.44-16.875,54.44+16.875)

=(37.565,71.315)

(d)

Considering this as a normal sample of American League players for the 2016 season, find a 90% Confidence Interval for the actual mean of Runs Scored for AL players, 2016 is given as:

(54.44-10.776,54.44+10.776)

=(44.664,65.216)


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