Workers at a certain soda drink factory collected data on the volumes​ (in ounces) of a simple random sample of 22cans 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 11.91 oz and 12.55oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.16oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.16 oz. Use a 0.025 significance level. Complete parts​ (a) through​ (d) below.   a. Identify the null and alternative hypotheses. Choose the correct answer below.     b. Compute the test statistic.   χ2=  ​(Round to three decimal places as​ needed.) c. Find the​ P-value.   ​P-value= ​(Round to four decimal places as​ needed.) d. State the conclusion.     ________H0​,because the​ P-value is___________ the level of significance. there is ___________evidence to conclude that the population standard deviation of can volumes is less than 0.16oz.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.