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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 = 0.05. 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. 2 The observed value of test statistic is obs. C. = State the rejection region (in the form of inequality). The rejection region is X².

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 = 0.05. 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. 2 The observed value of test statistic is obs. C. = State the rejection region (in the form of inequality). The rejection region is X².

A First Course in Probability (10th Edition)
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 practice question #12 and solve only parts A, B and C.

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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