a. Glycerol is a major byproduct of ethanol fermentation in juice production contributes to sweetness the observations on glycerol concentration (mg/ml) for sample standard quality 2.67 4.62 4.14 3.81 3.83 Test that the true average glycerol concentration, u = 4 against true average glycerol concentration, u # 4 at level of significance of 0.05.
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- The corrosive effects of various soils on coated and uncoated steel pipe was tested by using a dependent sampling plan. The data collected are summarized below, where d is the amount of corrosion on the coated portion subtracted from the amount of corrosion on the uncoated portion. Does this random sample provide sufficient reason to conclude that the coating is beneficial? Use a = 0.01 and assume normality. n- 40, Σd- 207, Σα? = 6199 (a) Find t. (Give your answer correct to two decimal places.) (ii) Find the p-value. (Give your answer correct to four decimal places.) (b) State the appropriate conclusion. O Reject the null hypothesis, there is significant evidence that the coating is beneficial. Reject the null hypothesis, there is not significant evidence that the coating is beneficial. Fail to reject the null hypothesis, there is significant evidence that the coating is beneficial. Fail to reject the null hypothesis, there is not significant evidence that the coating is beneficial.It is of interest to determine if the average drying time of a certain brand of latex paint is less than 4.5 hours. Which test should be used to answer this? (Relevant output below) Shapiro-Wilk normality test data: drying timew = 0.93572, p-value = 0.33161 Z-test or t-test or Wilcoxon Signed-Rank Test or Chi-Square Test?Draw the standard normal curve that corresponds to an area between z = 0 and z = 2. Then, use the standard normal table to find the area under the curve between these two z-scores.
- Find the Z score such that 43.9% of the area under the standard normal curve is below that score.The amount of sodium (in milligrams) in one serving for a random sample of three different kinds of foods is listed. Find the critical value for testing for a difference in the mean sodium amounts at the a = 0.05 level of significance. Condiments Cereals 180 160 230 200 220 190 140 300 250 240 220 160 150 310 A) 3.05 B) 3.47 C) 0.33 D) 3.52 Desserts 340 130 280 230 210 150 340 120Use the following two-way ANOVA table Source A Error Total SS 2.25 0.95 1.20 2.1 6.5 df 13 16 23 MS 0.75 0.95 0.30 0.1313 4 What are the two degrees of freedom the researchers would use for the critical F value to test the interaction between factors A and B? Below the first number is the degrees of freedom of numerator and second value is the degrees of freedom of denominator. O a. 16, 23 O b.3, 23 O c. 3, 16 O d.3, 1 2 pc
- Hello! I need answer for letter F only using Anderson-Darling test to support the normal distribution of the data.Find the z-score (to 2 decimal places) such that 8% of the normal curve lies to the right of the z-zone. Also draw a normal curve on your paper and illustrate the z score you found and the region represented.The corrosive effects of various soils on coated and uncoated steel pipe was tested by using a dependent sampling plan. The data collected are summarized below, where d is the amount of corrosion on the coated portion subtracted from the amount of corrosion on the uncoated portion. Does this random sample provide sufficient reason to conclude that the coating is beneficial? Use ? = 0.01 and assume normality. n = 36, Σd = 227, Σd2 = 6244(a) Find t. (Give your answer correct to two decimal places.)(ii) Find the p-value. (Give your answer correct to four decimal places.)(b) State the appropriate conclusion. Reject the null hypothesis, there is significant evidence that the coating is beneficial.Reject the null hypothesis, there is not significant evidence that the coating is beneficial. Fail to reject the null hypothesis, there is significant evidence that the coating is beneficial.Fail to reject the null hypothesis, there is not significant evidence that the coating is beneficial.
- Answer the following: 1. Test Stat 2. Critical Region: Select one: a. T1.761 c. T>2.14 d. T>abs(2.145) 3. Conclusion: At 5% level of significance… Select one: a. the new type of fabric does not exceed the WRA of the top current brand b. the new type of fabric exceeds the WRA of the top current brandPlease complete the following exercises according to Areas under the normal curve table. Find the area under the normal curve for:a)Mean and z=1.49b)Mean and z=1.26c)z=1 and z=2d)z=-1 and z=+1e)Z=-1and z=-1.262The following table shows the hours studied and corresponding test grade earned by students on a recent test. Calculate the correlation coefficient, r, and determine whether r is statistically significant at the 0.01 level of significance. Round your answer to the nearest thousandth. Critical Values of the Pearson Correlation Coefficient Hours Studied and Test Grades Hours Studied 0 0.5 2 2.25 3.25 3.5 3.75 3.75 4 5 1 1 81 Test Grade 72 64 68 79 85 82 72 99 87 84 97