A soft drink dispensing machine must be adjusted if the variance of the contents o exceeds 1.50 ml (ml² = squared milliliter). A random sample of 20 drinks from this machine has a variance of 1.90 ml². Is it sufficient sample evidence that the machine must be adjusted? Test an appropriate hypothesis at a = 0.05. Assume that the contents dispensed by the machine are approximately normally distributed. a. State null and research hypotheses about population variance ². Ho H₁: b. Find the observed value of test statistic. Keep 3 digits after decimal point in the expression for observed value of test statistics. The observed value of test statistic is obs. e. State the rejection region. The rejection region is X²_ c. Insert the word sufficient or insufficient into the following statement. There is be adjusted. _sample evidence to conclude that the machine must

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Chapter1: Combinatorial Analysis
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A soft drink dispensing machine must be adjusted if the variance of the contents o² exceeds
1.50 ml (ml² = squared milliliter). A random sample of 20 drinks from this machine has a variance
of 1.90 ml².
Is it sufficient sample evidence that the machine must be adjusted?
Test an appropriate hypothesis at a = 0.05. Assume that the contents dispensed by the
machine are approximately normally distributed.
a. State null and research hypotheses about population variance o².
Ho:
H₁
b. Find the observed value of test statistic.
Keep 3 digits after decimal point in the expression for observed value of test statistics.
2
The observed value of test statistic is bs.
e. State the rejection region.
The rejection region is X²
c. Insert the word sufficient or insufficient into the following statement.
There is
be adjusted.
_sample evidence to conclude that the machine must
11
Transcribed Image Text:A soft drink dispensing machine must be adjusted if the variance of the contents o² exceeds 1.50 ml (ml² = squared milliliter). A random sample of 20 drinks from this machine has a variance of 1.90 ml². Is it sufficient sample evidence that the machine must be adjusted? Test an appropriate hypothesis at a = 0.05. Assume that the contents dispensed by the machine are approximately normally distributed. a. State null and research hypotheses about population variance o². Ho: H₁ b. Find the observed value of test statistic. Keep 3 digits after decimal point in the expression for observed value of test statistics. 2 The observed value of test statistic is bs. e. State the rejection region. The rejection region is X² c. Insert the word sufficient or insufficient into the following statement. There is be adjusted. _sample evidence to conclude that the machine must 11
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