Question

A sports team compared two versions of a basketball (denoted as J and K) with respect to the time it takes to reach the hoop when thrown. They randomly selected 100 basketball players, and then they randomly assigned 50 to each basketball version. Basketball J has a sample mean of 209 and an SD of 37, while Basketball K has a sample mean of 225 and an SD of 41. It is known that the population variances are equal.

The sports team wants to know if there’s a significant difference between the two basketball versions with regards to the mean time they take to reach the hoop. To answer this, compute a 95% confidence interval for the difference in the mean time for the two basketball versions (J and K), and state hypothesis and conclusion

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Answer 1

Ans! for basketball J niaso, sample Mean (52) = 209, s. 237. for Basketball k Me=so, sample nean (51)=225, 1241 Hoi ll. Ma Hq: 417 42 (two failed; test stat (t) is used to find confidence internal 951.CIR-test + M1138 +-*s. TILL tt. lnithal it at 957. 10. a v nithan 1 98 df = 1.989 > (209-225) 71.984 60-1)37°+60-134145 tott 131.499,-0.5011 Conclusion since confidence interras do not contain qero to we reject Ho and conclude that there is a Bignificant difference blw the two basketball versions with regards to. mean time they take to reach the hoop. 4112 TTATRETENIMITATORII