A pharmaceutical company is about to launch a new manufacturing process in addition to the existing one. The quality control manager believes that the new method results in a different variation in the weights of the capsules. To verify the claim, the samples from each production line were obtained and the results are below (in mg): Production Line 1: 100.7 104.7 101.9 101.6 98.9 101 100.3 101 98.8 99.4 (Note: The average and the standard deviation of the data are respectively 100.83 mg and 1.731 mg.) Production Line 2: 101.6 100.4 99.1 100 99 97.5 98.6 99.5 102 97.6 99.9 102.5 100.4 98.6 99.1 100.8 99.3 (Note: The average and the standard deviation of the data are respectively 99.76 mg and 1.416 mg.) Use a 1% significance level to test the claim that the standard deviation of the capsule weights in the production line 1 is greater than the standard deviation of the capsule weights in the production line 2. If normality plots are not provided assume that the samples are from normal populations. Procedure: Select an answer Assumptions: (select everything that applies) Population standard deviation are unknown Paired samples Sample sizes are both greater than 30 The number of positive and negative responses are both greater than 10 for both samples Simple random samples Normal populations Population standard deviation are unknown but assumed equal Independent samples Population standard deviations are known

Six samples of each of four types of cereal grain grown in a certain region were analyzed to determine thiamin content, resulting in the following data (µg/g). Wheat 5.2 4.4 6.1 6.2 6.6 5.8 Barley 6.5 7.9 6.0 7.6 6.0 5.7 Maize 5.8 4.6 6.4 4.9 6.0 5.2 Oats 8.4 6.2 7.8 7.1 5.4 7.2 USE SALT Does this data suggest that at least two of the grains differ with respect to true average thiamin content? Use a level α = 0.05 test. State the appropriate hypotheses. | H₂: M₁ = H₂ = H3 = H4 H₂: all four μ's are unequal • Ho: M₁ = H₂ = H3 = H4 H₂: at least two μ's are unequal ⒸH₂² H₁ H₂ H3 H4 # H: all four μ's are equal O Ho: M₁ #M₂ #H3 H4 H₂: at least two μ's are equal Compute the test statistic value. (Round your answer to two decimal places.) f = What can be said about the P-value for the test? O P-value > 0.100 O 0.050 < P-value < 0.100 O 0.010 < P-value < 0.050 O 0.001 < P-value < 0.010 O P-value < 0.001 State the conclusion in the problem context. O Reject Ho. There is not significant evidence…

In automobile mileage and gasoline-consumption testing, 13  automobiles were road tested for 300 miles in both city and highway driving conditions. The following data were recorded for miles-per-gallon performance. City: 16.7 17.2 16.4 14.9 13.7 15.8 17.3 16.5 16.6 15.8 15.7 15.8 16.7 Highway: 20.0 21.2 18.9 19.2 19.8 18.0 17.8 19.2 19.6 21.7 20.0 19.1 19.3 Calculate the mean, median, and mode for City and Highway gasoline consumption (to 1 decimal).   City   Highway Mean       Median       Mode     The data are bimodal:   and

Please help me in answering the following practice question:Given a random sample of the amount of protein (in gram) in one bag of snack food: 0.95, 0.85, 0.92, 0.95, 0.93, 0.86, 1, 0.92, 0.85, 0.81, 0.78, 0.93, 0.93, 1.05, 0.93, 1.06, 1.06, 0.96, 0.81, 0.96 Here, it is assumed that the amount of protein in the snack is normal. How would I calculate a 98% two-sided confidence interval for the average amount of protein in one bag?Thank you for your help in advance!