Publications by Katarina Kentera
hw week 7
PROBLEM 4.3 Hypothesis: \(H_o: \tau_i = 0\) for all i \(H_a: \tau_i \neq 0\) for some i i = the chemical agent used in the experiment Model Equation: \(y_{ij} = \mu + \tau_i + \beta_j + \epsilon_{ij}\) We will begin by checking for normality of the data and constant variance between chemical treatment groups. The data appears to be normal...
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HW - week 6
PROBLEM 3.23 PART A The hypotheses for this experiment are displayed below. \(H_0: \mu_1 = \mu_2 = \mu_3 = \mu_4\) \(H_a:\) at least one \(\mu_i\) differs. Where 1, 2, 3, and 4 correspond to fluid type 1, fluid type 2, fluid type 3, and fluid type 4. An ANOVA test is conducted below and plots of the data are constructed. ## Df Sum...
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Project Part 1
PART 1 A power test to find out the number of samples necessary is conducted below. ## ## Balanced one-way analysis of variance power calculation ## ## k = 3 ## n = 12.50714 ## f = 0.5 ## sig.level = 0.05 ## power = 0.75 ## ## NOTE: n is number in each group For part 1 ...
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Flipped Assignment 10
PART A The linear effects model is shown below. \(X_{ij}=\mu + \tau_i + E_{ij}\) Where the error is normally distributed with a mean=0 and \(\sigma^2\) The hypothesis we are testing is shown below. if \(\tau_i = 0\) \(H_0: \mu_1=\mu_2=\mu_3=\mu_4\) if \(\tau_i \neq 0\) \(H_a:\) at least one \(\mu_i\) is not equal. PART B From the normal plot...
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HW - Week 3
Problem 2.32 a. In order to find out if there is a significant difference in the population means, we will conduct a t-test. The hypothesis that we will use are stated below. We will conduct this as a paired t-test because the same 12 inspectors used both calipers. This is what connects the data sets to each other. In the hypotheses below, unde...
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HW - Week 2 - Katarina Kentera
Problem 2.24 The null and alternative hypotheses for this problem are stated below: \(H_0=\mu_1=\mu_2\) \(H_a=\mu_1 \neq \mu_2\) Where “1” is referring to the dataset given as the output-volumes of machine 1 and “2” is referring to the dataset given as the output-volumes of machine 2. So, we are going to be testing whether or not the da...
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Flipped Assignment 4, Group 11
1. In order to apply the Central Limit Theorem, the data set has to be at least 40. Because \(n_1\) and \(n_2\) are less than 40, we cannot apply this theorem. 2. Normal Plots for US and Japanese Cars dat1<-read.csv("https://raw.githubusercontent.com/tmatis12/datafiles/main/US_Japanese_Cars.csv") Uscars<-dat1$ï..USCars Japanesecars<-dat1$Japa...
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Flipped Assignment 3 Group 11
Descriptive Statistic Analysis of Male and Female Hearbeats Male Data Analysis was done to evaluate the minimum, 1st quartile, median, 3rd quartile, maximum, and standard deviation of the heartbeats of males and these values are presented below. dat<-read.csv("https://raw.githubusercontent.com/tmatis12/datafiles/main/normtemp.csv") Males<-da...
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HW - Week 4
Problem 3.7 (a) A hypothesis test can be conducted to analyze the effects of mixing technique on cement strength using a level of significance of 0.05. The hypotheses for this test are: \(H_o: \mu_1=\mu_2=\mu_3=\mu_4\) \(H_a:\) at least one \(\mu_i\) differs Where 1, 2, 3, and 4 correspond to mixing techniques 1, 2, 3, and 4 respectively. An...
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HW week 5
Problem 3.7 Part C We obtained the following ANOVA table from last week’s HW df SS MS F F* Treatment 3 489740.2 163246.70 12.72811 3.490295 Error 12 153908.3 12825.69 NA NA Total 15 643648.4 NA NA NA Our Hypotheses for the LSD test are shown below. \(H_0: \mu_i-\mu_j=0\) \(H_a: \mu_i-\mu_j \neq 0\) Where i and j correspond to mixing tech...
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