An experiement was conducted to assess the efficacy of spraying oats with malath

Question

An experiement was conducted to assess the efficacy of spraying oats with malathion (at .25 lb/acre) to control the cereal leaf beetle. A sample of 10 farms was selected at random from southwest Manitoba. Each farm was assigned at random to either the control group (no spray) or the treatment group (spray). At the conclusion of the experiment, a plot on each farm was selected and the number of larvae per stem was measured. here are two possible outputs from DataDesk (only one of which is correct; some output hidden):

t-Tests

separate estimates of µ1, µ2

Test H0: µ(not spray)- µ(spray) = 0

Vs HA: µ(not spray)- µ(spray) > 0

Sample mean(not spray) = 4.0947

Sample mean(spray) = 3.0508

t-statistic=1.896 with * d.f.

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t-Test, paired samples

not spray-spray

Test H0: µ=0 vs Ha: µ>0

Sample mean = 1.0440

t-statistic=1.887 with * d.f.

1. The appropriate test statistic and P-value are:

(a) 1.896, 0.033

(b) 1.896, 0.131

(c) 1.896, 0.065

(d) 1.887, 0.059

(e) 1.887, 0.118

Explanation / Answer

Thi sis 2-sample t test, t test statistic is 1.896. To compute p value, df is need to be calculated, for which standard deviation of each sample and corresponding sample size are need to be determined.

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