**Statistical Analysis of Drying Times**1. **Find the value of the test statistic. (Round your answer to two decimal places.)** [Input box for test statistic]2. **Find the *p*-value. (Round your answer to four decimal places.)** *p*-value = [Input box for *p*-value]3. **What is your conclusion?** - ○ Do not reject $ H_0 $. There is sufficient evidence to conclude that the mean drying times for the four robots are not all equal. - ○ Reject $ H_0 $. There is not sufficient evidence to conclude that the mean drying times for the four robots are not all equal. - ○ Do not reject $ H_0 $. There is not sufficient evidence to conclude that the mean drying times for the four robots are not all equal. - ○ Reject $ H_0 $. There is sufficient evidence to conclude that the mean drying times for the four robots are not all equal.**Instructions:**Select the appropriate conclusion based on your calculations of the test statistic and *p*-value. **Title: Analyzing Paint-Drying Times of Different Robots****Introduction:**The duration it takes for paint to dry can significantly affect the production efficiency of businesses in the auto body and paint industry. To explore whether variations exist among different paint-drying robots, we investigate the question: "Do all paint-drying robots have the same drying time?" By sampling five drying times for each of four different robot models, we record the time—in minutes—required for paint to dry sufficiently for re-coating.**Data Table:**| | **Robot 1** | **Robot 2** | **Robot 3** | **Robot 4** ||---|---|---|---|---|| **1** | 127 | 144 | 132 | 149 || **2** | 138 | 132 | 143 | 143 || **3** | 136 | 142 | 138 | 134 || **4** | 123 | 146 | 135 | 140 || **5** | 141 | 131 | 132 | 154 |**Hypothesis Testing:**Using a significance level (α) of 0.05, we aim to determine if the mean drying times differ for each robot type.**Null and Alternative Hypotheses:**1. **H₀: μ₁ = μ₂ = μ₃ = μ₄** - *Null Hypothesis:* The mean drying times for all robots are equal. **Hₐ: Not all population means are equal.** - *Alternative Hypothesis:* At least one robot has a different mean drying time.The data will help decide which, if any, robots provide significantly faster drying times, optimizing investment decisions and operational efficiency. Use appropriate statistical tests to assess these hypotheses, such as ANOVA (Analysis of Variance), to analyze the data.

Answered: How long it takes paint to dry can have…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Roy ‘s Texaco wants to keep the price of its unleaded gasoline competitive with that of other stations in the area. Roy’s is currently charging $1.29 per gallon. To check that the average price for this gasoline for all stations within a 15 mile radius is higher than his price, Roy randomly samples the price of unleaded gasoline at ten stations located in this area. He obtains the following data for the price per gallon (in dollars): 1.7, 1.5, 2.6, 2.2, 2.4, 2.3, 2.6, 3.0, 1.4, 2.3 Set up the appropriate hypotheses and test them using a significance level of α= .05
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Each year, researchers at the U.S. Bureau of Labor Statistics (BLS) administer the American Time Use Survey (ATUS). Researchers estimate the average amount of time Americans spend on daily activities, such as working, housework, and leisure activities. In particular, one activity that is of interest is the average amount of time Americans spend watching television each day A researcher complied a random sample of 14 Americans and asked each person how much time they spent watching television each day. The results are given below. 2.11.3 0.9 3.3 2.3 1 4 2 3.1 0.8 4.4 1.5 2.2 3 Determine the point estimate , and the sample sadard deviation , Round the solutions to four decimal overline x places , if necessary . overline x = Box; s = Using a 98% confidence level , determine the margin of error, E, and a confidence interval for the average time Americans spend watching television each dayReport the confidence interval using interval notation Round solutions to two decimal places , if…
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An anger-management course claims that, after completing its seminar, participants will lose their tempers less often. Always a skeptic, you decide to test this claim. A random sample of 12 seminar participants is chosen, and these participants are asked to record the number of times that they lost their tempers in the two weeks prior to the course. After the course is over, the same participants are asked to record the number of times that they lost their tempers in the next two weeks. The following table lists the results of the survey. Using these data, test the claim at the 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let d = (participants after completing the anger-management course) - (participants before completing the anger- management course). Number of Times Temper Was Lost during a Two-Week Period Before 10 3 4 7 9 10 9 5 12 7 4 After 9 4 4 7 7 4 8 8 3 5 6 Copy Data Step 2 of 3: Compute the value of…

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