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-five (35) plants of the first variety produced an average yield of 12.5 kg per plant with a sample standard deviation of 1.7 kg. And thirty-three (33) plants of the second variety produced an average yield of 14.4 kg per plant with a sample standard deviation of 1.9 kg. Does this provide sufficient evidence to conclude that there is a difference in the mean yield for these two varieties? Use α = 0.01. (a)[1] Write down the null and alternative hypotheses. Give the rejection region. Calculate the observed test statistic.  Give the decision and final conclusion.  What is the p-value

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
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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-five (35) plants of the first variety produced an average yield of 12.5 kg per plant
with a sample standard deviation of 1.7 kg. And thirty-three (33) plants of the second
variety produced an average yield of 14.4 kg per plant with a sample standard deviation
of 1.9 kg. Does this provide sufficient evidence to conclude that there is a difference in
the mean yield for these two varieties? Use α = 0.01.
(a)[1] Write down the null and alternative hypotheses. Give the rejection region. Calculate the observed test statistic.
 Give the decision and final conclusion.
 What is the p-value

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