Question

Workers at a certain soda drink factory collected data on the volumes​ (in ounces) of a simple random sample of 19 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.08 ​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 0.025 significance level. Complete parts​ (a) through​ (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. A. Upper H 0 : sigma greater than or equals 0.13 oz Upper H 1 : sigma less than 0.13 oz B. Upper H 0 : sigma greater than 0.13 oz Upper H 1 : sigma equals 0.13 oz C. Upper H 0 : sigma equals 0.13 oz Upper H 1 : sigma not equals 0.13 oz D. Upper H 0 : sigma equals 0.13 oz Upper H 1 : sigma less than 0.13 oz b. Compute the test statistic. chi squaredequals nothing ​(Round to three decimal places as​ needed.) c. Find the​ P-value. ​P-valueequals nothing ​(Round to four decimal places as​ needed.) d. State the conclusion. ▼ Do not reject Reject Upper H 0​, because the​ P-value is ▼ less than or equal to greater than the level of significance. There is ▼ insufficient sufficient evidence to conclude that the population standard deviation of can volumes is less than 0.13 oz. Please help

Answer 1