3. (Use R)_Independent random samples of professional football and basketball players gave the following information.

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(Use R)_Independent random samples of professional football and basketball players gave the
following information.
3.
Heights (in ft) of pro football players: x1; n1 = 45
6.31 6.52 6.50 6.25 6.50 6.33 6.25 6.17 6.42 6.33
6.42 6.58 6.08 6.58 6.50 6.42 6.25 6.67 5.91 6.00
5.83 6.00 5.83 5.08 6.75 5.83 6.17 5.75 6.00 5.75
6.50 5.83 5.91 5.67 6.00 6.08 6.17 6.58 6.50 6.25
6.33 5.25 6.65 6.50 5.85
Heights (in ft) of pro basketball players: x2; n2 = 40
6.07 6.58 6.25 6.58 6.25 5.92 7.00 6.41 6.75 6.25
6.00 6.92 6.84 6.58 6.41 6.67 6.67 5.75 6.25 6.25
6.50 6.00 6.92 6.25 6.42 6.58 6.58 6.08 6.75 6.50
6.83 6.08 6.92 6.00 6.33 6.50 6.58 6.82 6.50 6.58
(b) Let µ1 be the population mean for x1 and let µ2 be the population mean for x2. Find a 90%
confidence interval for u1 - µ2. Round your answers to 3 decimal places.
(a)
Lower
Upper
Paste R Output:
(b) Examine the confidence interval and explain what it means in the context of this problem. Does the
interval consist of numbers that are all positive? all negative? of different signs? At the 90% level of
confidence, do professional football players tend to have a higher population mean height than
professional basketball players?
Transcribed Image Text:(Use R)_Independent random samples of professional football and basketball players gave the following information. 3. Heights (in ft) of pro football players: x1; n1 = 45 6.31 6.52 6.50 6.25 6.50 6.33 6.25 6.17 6.42 6.33 6.42 6.58 6.08 6.58 6.50 6.42 6.25 6.67 5.91 6.00 5.83 6.00 5.83 5.08 6.75 5.83 6.17 5.75 6.00 5.75 6.50 5.83 5.91 5.67 6.00 6.08 6.17 6.58 6.50 6.25 6.33 5.25 6.65 6.50 5.85 Heights (in ft) of pro basketball players: x2; n2 = 40 6.07 6.58 6.25 6.58 6.25 5.92 7.00 6.41 6.75 6.25 6.00 6.92 6.84 6.58 6.41 6.67 6.67 5.75 6.25 6.25 6.50 6.00 6.92 6.25 6.42 6.58 6.58 6.08 6.75 6.50 6.83 6.08 6.92 6.00 6.33 6.50 6.58 6.82 6.50 6.58 (b) Let µ1 be the population mean for x1 and let µ2 be the population mean for x2. Find a 90% confidence interval for u1 - µ2. Round your answers to 3 decimal places. (a) Lower Upper Paste R Output: (b) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 90% level of confidence, do professional football players tend to have a higher population mean height than professional basketball players?
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