A baseball bat producing company wants to see if one of their brands outperforms another, Champ and Master. 10 bats of e
Posted: Wed Jul 06, 2022 12:09 pm
A baseball bat producing company wants to see if one of theirbrands outperforms another, Champ and Master. 10 bats of each brandare randomly selected and tested by different people to see howmany hits are needed before the bat cracks or breaks. Run ahypothesis test with alpha=.05α = .05 to see how the means of thetwo groups compare. What can you conclude about the bats? A B 270364 334 302 301 350 307 348 298 396 290 325 315 342 305 359 325 327331 355 Expert Answer 100% (2 ratings) Swati mittal answered this17,779 answers Ho : µ1 - µ2 = 0 Ha : µ1-µ2 ╪ 0 Level ofSignificance , α = 0.05 Sample #1 ----> 1 mean of sample 1, x̅1=307.600 standard deviation of sample 1, s1 = 19.631 size of sample1, n1= 10 Sample #2 ----> 2 mean of sample 2, x̅2= 346.800standard deviation of sample 2, s2 = 25.477 size of sample 2, n2=10 difference in sample means = x̅1-x̅2 = 307.6000 - 346.8 = -39.20pooled std dev , Sp= √([(n1 - 1)s1² + (n2 - 1)s2²]/(n1+n2-2)) =22.7425 std error , SE = Sp*√(1/n1+1/n2) = 10.1708 t-statistic =((x̅1-x̅2)-µd)/SE = ( -39.2000 - 0 ) / 10.17 = -3.8542 Degree offreedom, DF= n1+n2-2 = 18 t-critical value , t* = 2.101 (excelformula =t.inv(α/2,df) Decision: | t-stat | > | critical value|, so, Reject Ho
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