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- You want to conduct a test to determine whether there are significant differences in the mean impurity levels for polymers produced with three different catalysts. Which statistical test is appropriate for this scenario? Select one: a. paired t test b. one-sample t test c. one-way ANOVA d. two-sample t testA quality-control technician collects a random sample of 10 rivets from each of four different suppliers and subjects them to a shear strength test to failure 1. The dependent variable in this scenario is quantitative. (enter T for true or F for false) ____ 2. The independent variable in this scenario is quantitative. (enter T for true or F for false) _____ 3. To run an ANOVA analysis in for this scenario, what is the sample size? _____4. Captopril is a drug designed to lower systolic blood pressure. When subjects were treated with this drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was taken. Results are given in the accompanying table (based on data from “Essential Hypertension: Effect of an Oral Inhibitor of Angiotensin-Converting Enzyme”, by MacGregor et al., BMJ, Vol. 2). Using a 0.01 significance level, is there sufficient evidence to support the claim that captopril has an effect on systolic blood pressure? Explain why statistical methods from Z-interval, Z-test, T-interval or T-test –cannot be used for this problem. Then, use the sign test to conduct the required test in R studio. Please show your work.
- What is the relationship between power and N, size of real effect, and alpha level? How does power fit into the hypothesis testing process? Compare the z test and t test for single samples. What are the advantages and disadvantages of each? Discuss. In presenting the t test for single samples, it was necessary to introduce the concept of degrees of freedom. However, no such discussion was needed in presenting the z test for single samples. What is the explanation of this difference?Interpret the statistical significance for gas price p-value = 3.09e-07, at all three levels 1%,5%,10% ?7. Gravetter/Wallnau/Forzano, Essentials - Chapter 12 - End-of-chapter question 10 The following summary table presents the results from an ANOVA comparing five treatment conditions with n = 5 participants in each condition. Complete all missing values. (Hint: Start with the df column.) Source SS df MS F Between treatments 125 Within treatments Total 1500
- Two types of valves are being tested to determine if there is a difference in pressure tolerances. Fifteen out of a random sample of 100 of Valve A cracked under 4,500 psi. Six out of a random sample of 100 of Valve B cracked under 4,500 psi. Test at a 5% level of significanceWhat are the corresponding degrees of freedom and critical value for a within-subjects ANOVA with 2 conditions, 7 subjects in each condition, and α = 0.01? a) BG: b) BS: c) Error: d) Total: e) critical valuein each of several consecutive days of production of cola cans 500 cans are tested and the number of defects of each day are listed below. a. use the given process data to construct a control chart for p. b. use the three out of control criteria and determine whether the process is within statistical control. options for b: yes because all the criteria are satisfied, no because there is at least one point lying outside of the region between upper and lower control limits, yes because none of the criteria are satisfied, or no because there is a pattern trend or cycle that is obviously not random and there are eight or more consecutive points all above or below the central line. c. what action should be taken? The manufacturer should review their production process and attempt to remedy the cause of increasing variation in proportions of defects The manufacturer should proceed as before because the number of defects is increasing The manufacturer should review their production process…
- A one-way between subjects ANOVA produces dftotal = 29 and dfwithin = 27. For this analysis, how many treatment conditions are being compared? a) 1 b) 2 c) 3 d) Cannot determine1. Identify the for steps of a hypothesis test as presented in this chapter. 2. Define the alpha level and the critical region for a hypothesis test. 3. Define a Type I error and a Type II error and explain the consequences of each. 4. If the alpha level is changed from a=.05 to a = .01 a. What happens to the boundaries for the critical region? b. What happens to the probability of Type I error?An experiment was conducted to investigate the effects of the concentrations of sulfuric acid (H2SO4) and calcium chloride (CaCl2) on the amount of black mud precipitate in the treatment of alkaline wastewater. There were three levels of each concentration, and two replicates of the experiment were made at each combination of levels. The relevant statistical analysis is provided in the following table: (image) a) The appropriate statistical analysis to test would be: I. One-way ANOVA II. Two-way ANOVA III. Three-way ANOVA IIIV. Two-Sample t-test b) Does there appear to be an interaction between concentration of sulfuric acid and calcium chloride at the .05 level? What does this say about the additive model? c) Can the effect of concentration of sulfuric acid on amount of black mud precipitate in the treatment of alkaline wastewater be described by interpreting the main effects of concentration of sulfuric acid? If so, interpret the main effects at the .05 level, including the…