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 16 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.12 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 11.97 oz and 12.61 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.16 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.16 oz. Use a 0.01 significance level. Complete parts (a) through (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. A. H_0:sigma = 0.16 oz H_1: sigma notequalto 0.16 oz B. H_0:sigma greaterthanorequalto 0.16 oz H_1: sigma 0.16 oz H_1: sigma = 0.16 oz D. H_0: sigma = 0.16 oz H_1: sigma

Explanation / Answer

The statistical software output for this problem is:

One sample variance hypothesis test:
2 : Variance of population
H0 : 2 = 0.0256
HA : 2 < 0.0256

Hypothesis test results:

Hence,

P - value = 0.0950

Variance Sample Var. DF Chi-square Stat P-value 2 0.0144 15 8.4375 0.095

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