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 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?
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