In: Statistics and Probability
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 .
(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)