1. The following experiment was conducted to compare the yields of two varieties of blueberry plants. Plants of each variety were randomly selected and planted in a field. Thirty-seven (37) plants of the first variety produced an average yield of 12.7 kg per plant with a sample standard deviation of 1.6 kg. And thirty-six (36) plants of the second variety produced an average yield of 14.6 kg per plant with a sample standard deviation of 1.8 kg. Does this provide sufficient evidence to conclude that there is a difference in the mean yield for these two varieties? Use α = 0.05. a) Write down the null and alternative hypotheses. b) Give the rejection region c) Calculate the observed test statistic. d) Give the decision and final conclusion. e) What is the p-value?
1. The following experiment was conducted to compare the yields of two varieties of blueberry plants. Plants of each variety were randomly selected and planted in a field. Thirty-seven (37) plants of the first variety produced an average yield of 12.7 kg per plant with a sample standard deviation of 1.6 kg. And thirty-six (36) plants of the second variety produced an average yield of 14.6 kg per plant with a sample standard deviation of 1.8 kg. Does this provide sufficient evidence to conclude that there is a difference in
the
a) Write down the null and alternative hypotheses.
b) Give the rejection region
c) Calculate the observed test statistic.
d) Give the decision and final conclusion.
e) What is the p-value?
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