please need help with statistics homeowork (a-d) the data ted? What would the in

Question

please need help with statistics homeowork (a-d)

the data ted? What would the inter- that during the last track season there was no difference in the be if 01? 6. Suppose mean running speeds of the runners from two schools Assume same people are on the teams this year Runners from Sc usual: however, the coach from School me that the rs from School A train as B introduces bicycle work as a were recorded (in seconds) for the runners from the two schools in the 50-yard dash and are listed in the accompanying table. School A School B 10.2 11.1 10.5 10.0 9.7 12.0 10.7 10.9 11.5 10.4 9.9 10.3 11.0 10.1 9.8 9.5 10.8 10.6 9.6 94 a. What do you believe the null and alternative hypotheses are for this b. Which test do you believe is appropriate for analyzing these data? c. Apply the statistic you selected to these data. d. Is there sufficient evidence to reject the null hypothesis assuming = study? 05? How should these data be interpreted? What would be the in- terpretation of the data if .01 ? nple n each team had been previously

Explanation / Answer

a) H0:mu1-mu2=0 (there is no difference in running time for runners from two schools)

H11:mu1-mu2>0 (running time for schoolB is lesser than school A)

mu1 and mu2 represent mean running times for school A and B respectively.

b) For independnet groups and smaller sample size, perform 2-sample t test.

c) From infomaton given,

x1bar=10.705, s1=0.698, x2bar=10.1, s2=0.560

SE(x1bar-x2bar)=sqrt [s1^2/n1+s22^2/n2]

=sqrt[0.698^2/10+0.560^2/10]

=0.283

t=(x1bar-x2bar)-0/SE(x1bar-x2bar)

=(10.705-10.1)/0.283

=2.14

p value at df=17, alpha=0.01, is 0.023575.

d) The p value is less than aalpha=0.05. Reject null hypothesis to cocnclude that running time for school B is lesser than school A.

The p value is not less than alpha=0.01. Fail to reject null hypothesis. Insufficient sample evidence to conclude that running time for school B is lesser than school A.

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