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- Penicillin is produced by the Penicillin fungus, which is grown in a broth whose sugar content must be carefully controlled. Several samples of broth were taken on three successive days, and the amount of dissolved sugars, in milligrams per milliliter, was measured on each sample. The results were as follows. Day 1 : 4.9 5.4 5.3 4.9 5.2 5.1 5.4 4.9 5.1 5.1 4.9 5.4 Day 2 : 5.5 5.2 5.1 5.0 5.3 5.4 5.3 5.2 5.4 5.3 5.4 5.1 Day 3 : 5.8 5.0 5.4 5.5 5.5 5.5 4.8 5.5 5.2 4.9 5.5 5.0 Construct an ANOVA table. Round your answers to four decimal places as needed. One-way ANOVA: Sugar Concentration Source DF SS MS F P Days Error Total Is there enough evidence to conclude that the mean sugar concentration…What is E(x̄)? What is E(x̄) equal to?Suppose you take a random sample and find the sample mean, x̄. Based on the previous problem, can you say that x̄ is equal to the mean of the entire population µ?Step 2: Determine if r is statistically significant at 0.01 and 0.05 levels.
- The following data represent the yield on 30 consecutive batches of ceramic substrate to which a metal coating has been applied by a vapor-deposition process. a. Create a Histogram. b. What is the sample mean of the data? c. What is the sample standard deviation of the data? d. What is the skewness of the data (Pearson's first mode of coefficient)? What could you conclude? e. What is the kurtosis of the data? What could you conclude? (show solution)n a recent study, a scientist was interested in investigating whether there is a significant difference in the number of sleeping hours in different moon phases: waxing crescent, full moon, and waning crescent. Participants’ number hour of sleep were recorded in the table below. Quality of sleeps (in number of hours) Waxing Crescent Full Moon Waning Crescent 7 8 9 7 8 4 5 4 3 6 5 7 8 9 6 What is being measured? That is, what is the DV? What is the level of measurement of the DV? With α = .05, determine whether there are any significant mean differences among your groups.In a hypothetical scenario, the National Institute of Standards and Technology has received a new replica of The Kilogram. It is weighed five times. The measurements are as follows, in units of micro-grams above 1 kg: 114.3, 82.6, 136.4, 126.8, 100.7. a) Is it possible to estimate the uncertainty in these measurements? If so, estimate it. If not, explain why not. b) Is it possible to estimate the bias in these measurements? If so, estimate it. If not, explain why not.
- For an F ratio to be statistically significant, the between-groups mean square must beLife-saving drug: Penicillin is produced by the Penicillin fungus, which is grown in a broth whose sugar content must be carefully controlled. Several samples of broth were taken on three successive days, and the amount of dissolved sugars, in milligrams per milliliter, was measured on each sample. The results were as follows.(note: use mu for mean or average , p for proportion, >= for , <= for , =/ for ) State the null and alternative hypotheses to be used in testing the following claims and determine generally where the critical region is located: (a) The mean snowfall at Lake George during the month of February is 21.8 centimeters. Ho: Blank 1 H1: Blank 2 (b) No more than 20% of the faculty at the local university contributed to the annual giving fund. Ho: Blank 3 H1: Blank 4 (c) At least 70% of next year's new cars will be in the compact and subcompact category. Ho: Blank 5 H1: Blank 6 (d) The average rib-eye steak at the Longhorn Steak house is at least 340 grams. Ho: Blank 7 H1: Blank 8