Workers at a certain soda drink factory collected data on the volumes (in ounces

Question

Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 15 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.11 oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between 11.98 oz and 12.50 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.13 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.13 oz. Use a 0.05 significance level. Complete parts (a) through (d) below.

8.5.5-T Worker factory ple at ct th of 12.10 standard deviation ot 0 nt the filing p 0.05 signrca level Complete parts (a) through (d)belo a. Identify the nul and em ative hypotheses Choose the correct answer below. O A. Ho: 0.13 oz O B. Ho 20,13 oz H1: 0.13 oz H1: 0.13 oz D. Hot o-o.13 oz O C. Ho: 0.13 oz H1: 0.13 oz H1: G

Explanation / Answer

Method

Null hypothesis = 0.13
Alternative hypothesis < 0.13

The chi-square method is only for the normal distribution.
The Bonett method cannot be calculated with summarized data.

Statistics

N StDev Variance
15 0.110 0.0121

95% One-Sided Confidence Intervals

Upper Bound Upper Bound
Method for StDev for Variance
Chi-Square 0.161 0.0258

Tests

Test
Method Statistic DF P-Value
Chi-Square 10.02 14 0.240

Fail to reject Ho becuase P-value is greater than the level of significance. There is no evidence to conclude that the population standard deviation of can volumes is less than 0.13 oz.

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