d. Decide whether null hypothesis is rejected or is not rejected, and insert the word rejected or the words not rejected into the following statement. Null hypothesis is Insert the word sufficient or insufficient into the following statement. There is adjusted. sample evidence to conclude that the machine has to be

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Solve question #12 and solve only part D

12.
A soft - drink dispensing machine has to be adjusted if the variance of the contents o² exceeds
1.05 ml² (ml² = squared milliliter). A random sample of 25 drinks from this machine has a variance
of 1.35 ml².
Is it sufficient sample evidence that the machine has to be adjusted?
Test an appropriate hypothesis at a = 0.05 using critical value approach. Assume that the
contents dispensed by the machine are approximately normally distributed.
Test the appropriate hypothesis. Use a
a. State null and research hypotheses about population variance ².
H₂:
H₁₂ :
b. Find the observed value of test statistic.
Keep 3 digits after decimal point in the expression for observed value of test statistics.
C.
= 0.05.
2
The observed value of test statistic is obs.
State the rejection region (in the form of inequality).
The rejection region is X²
d. Decide whether null hypothesis is rejected or is not rejected, and insert the word
rejected or the words not rejected into the following statement.
Null hypothesis is_
Insert the word sufficient or insufficient into the following statement.
There is
adjusted.
_sample evidence to conclude that the machine has to be
Transcribed Image Text:12. A soft - drink dispensing machine has to be adjusted if the variance of the contents o² exceeds 1.05 ml² (ml² = squared milliliter). A random sample of 25 drinks from this machine has a variance of 1.35 ml². Is it sufficient sample evidence that the machine has to be adjusted? Test an appropriate hypothesis at a = 0.05 using critical value approach. Assume that the contents dispensed by the machine are approximately normally distributed. Test the appropriate hypothesis. Use a a. State null and research hypotheses about population variance ². H₂: H₁₂ : b. Find the observed value of test statistic. Keep 3 digits after decimal point in the expression for observed value of test statistics. C. = 0.05. 2 The observed value of test statistic is obs. State the rejection region (in the form of inequality). The rejection region is X² d. Decide whether null hypothesis is rejected or is not rejected, and insert the word rejected or the words not rejected into the following statement. Null hypothesis is_ Insert the word sufficient or insufficient into the following statement. There is adjusted. _sample evidence to conclude that the machine has to be
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