Question

Independent random samples of professional foctball and basketball players gave the following information. Heights (In ft) of pro football players: x1i n1 45 6.35 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 6.07 5.01 G.OD 6.50 5.83 5.91 5.67 6.0D .0B 6.17 6.58 6.50 6.25 Hcights (in ft) of pro basketball players: x2i n2 40 6.05 6.5S5 6.25 6.5 6.25 5.92 7.00 641 6.75 6.25 .00 6.92 6.83 6.5 .41 6.07 6.07 5.75 6.25 6.25 6.50 6.OD 6.92 6.25 .42 5.58 .3 6.08 .75 B.SD 6.83 6.0 6.92 6.00 6.33 6.50 6.58 6.84 6.5D 6.58 (a) Use a calculator with meon and standard deviation keys to calculate x1, 1, x2, and s2. (Round your answers to three decimal places.) (b Letul be the population mean for X1 and let μ2 be the population mean for x2 Find a 90% confidence interval for μ1-u2 lower litnit upper limit Round your answers to three decimal places. (c) Examine the confidence interval and explain what it means in the context of this problen. Does the interval consist of numbers that are l positive? all riegative? of different signs? At the 90% level of confidence, du professional foolbd players tend to ave a higher population mean haight than professional basketball players? eecause the interval contains only negative numbers, we can say that professional foatball players have a lower mean height than professianal basketball players. 帶Because the interval contains both positive and negative numbers, we cannot say that professional football players have a higher mean height than professional basketball players. O eecause the interval contains only positive numbers, we can say that professional football players have a higher mean height than professicnal basketball players. (d) which distribution did you use? Why? The standard normal distribution was used because q and ơ2 arc unknown. The Student's t-distribution was used because and z are knwn The standard normal distribution was used because σ1 and σ2 are known. The Student's t-distribution was used because o1 and z are unknown

Answer 1

7. : (-0,594929)0,2927 lnegai ve numbexs CamScanher

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