1. A believes that treating seeds certain additive before planting can with a th
ID: 3230002 • Letter: 1
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1. A believes that treating seeds certain additive before planting can with a this is conducted in a enhance the growth of plants. An experiment to investigate From a large number of Roma tomato seeds, seeds are randomly chosen and 2 are to of 12 containers. One the 2 seeds assigned to each assigned each of container is randomly selected and treated with the additive. Fbe other seed serves as a control. Both seeds are then planted in the same container. The growth, in centimeters, of the plants is measured after 30 days, with the results summarized Treatment Control Difference 15.989 18,004 1.175 1.098 (a) (6 pts) state the appropriate null and alternative hypotheses for testing whether the additive enhances the growth of plants, on average. Be sure to define your population parameter(s) in the context of the problem. con Hoid o d's d (b) (7 pts) Compute the test statistic and, if applicable, state its degrees of freedom. 2, UIS (12) ildf (c) (6 pts) Compute the exact p value or give a range, as appropriate. (d) (6 pts) State the conclusion of the hypothesis test in the context of the problem. (Assume a significance level of 0.05.)Explanation / Answer
(a) and (b) is right
(c) here alternate hypothesis is one-tailed so this one tailed(right tailed) test
and it statistic t=3.96 with 11 df
p-value=0.0011 ( using ms-excel command =TDIST(3.96,11,1) )
(d) since significance level=alpha=0.05 is more than p-value so we fail to accept H0 and conclude that d>0.
in other words there is effect of treatment
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