Question 4. The article "Repeatability and Reproducibility for Pass/Fail Data" (J. of Testingand Eval., 1997: 151-153) reported that in n = 129 trials in a particular laboratory, 36resulted in ignition of a particular type of substrate by a lighted cigarette. Let p denote thelong-run proportion of all such trials that would result in ignition. A point estimate for p isgiven by p= 36/n = 0.2791.Round your answer to four decimal places.(a) Construct 98% confidence interval for the population proportion p.

From the provided information, Sample size (n) = 129 From which 36 resulted in ignition of a…

Answered: Question 4. The article "Repeatability…

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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7.1
6.1
1. A study compared the number of tree species in unlogged forest plots to similar plots logged 8 years earlier. Independent random samples of both logged and unlogged plots were analyzed and the number of tree species was recorded. Tables 1 and 2 present the Shapiro-Wilk normality test for both types of forest plots and the Independent Samples t-test results. Use the information presented in these tables to answer the questions. Table 1: Tests of Normality Tests of Normality Kolmogorov-Smirnov Shapiro-Wilk Forest Plot Statistic df Sig. Statistic df Sig. Tree_Species Logged .181 12 .200 .936 12 .444 Unlogged .110 14 .200 .945 14 .480 *. This is a lower bound of the true significance. a. Lilliefors Significance Correction Table 2: Independent Samples Test Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Mean Std. Error F Sig. t df Sig. (2-tailed) Difference Difference Lower Upper Equal variances…
Question 8 MO22. A hypothesis will be used to test that a population mean equals 10 against the alternative that the population mean is less than 10 with known variance a. What is the critical value for the test statistic Z, for the significance level of 0.050? Round your answer to two decimal places i.e., 0.00. Provide all the necessary solutions. Zo = Blank 1 Blank 1 Add your answer
3.18. A manufacturer of television sets is interested in the effect on tube conductivity of four different types of coating for color picture tubes. A completely randomized experiment is conducted and the following conductivity data are obtained: Coating Type 1 234 2 4 143 152 134 129 Conductivity 150 137 132 132 141 149 136 127 146 143 127 129 (a) Is there a difference in conductivity due to coating type? Use a = 0.05. (b) Estimate the overall mean and the treatment effects. (c) Compute a 95 percent confidence interval estimate of the mean of coating type 4. Compute a 99 percent confidence interval estimate of the mean difference between coating types 1 and 4.
widely used as dielectrics and coolants in electrical systems in the past. They were found to be a major environmental contaminant in the 1960s. In a study, the mean PCB content at each of thirteen sites was reported for the years 1982 and 1996 (from “The ratio of DDE to PCB concentrations in Great Lakes herring gull eggs and its use in interpreting contaminants data”, Journal of Great Lakes Research 24 (1): 12-31, 1998). The data are below.Site:12345678910111213198261.4864.4745.5059.7058.8175.9671.5738.0630.5139.7029.7866.8963.93199613.9918.2611.2810.0221.0017.3628.207.3012.809.4112.6316.8322.74(a) Which test would be more appropriate in this case: a t-test for the difference between two population means, or a paired t-test? Why?(b) Do the data provide sufficient evidence to support the claim that the mean PCB level has decreased in the region? Be sure to check all assumptions, write the null and alternative hypotheses, calculate the appropriate test statistic, calculate the p-value,…
e 14-25. A car hire firm has two cars which it hires out day by day. The number of demands for a car on each day is distributed as a Poisson variate with mean 1-5. Calculate the proportion of days on which (i) Neither car is used (ii) Some demand is refused.
19
Question 2 A paired-samples test is reported as t(18) = 1.73. Make a decision about this test, assuming a two-tailed hypothesis test with a p level of 0.05. Fail to reject the null hypothesis. O Reject the null hypothesis. Reject the research hypothesis. Fail to reject the research hypothesis.
10.20 In a random sample of recent high school graduates, two characteristics were recorded (the average score and the number of correct answers for the SAT test). This information was classified as shown in Table 10.8. Is there a dependence between the number of correct answers on the SAT test and the average rankings statistically discernible at a level α = 0.01?
Question 9 Two independent samples are selected from two populations with means µg and u2, respectively. Suppose a 99% confidence interval for u1 - H2 is (-1.65, 21.65), a 95% confidence interval is (0.2, 19.8), and a 90% confidence interval is (1.775, 18.225). In testing Ho : H1 - H2 = 0 versus H1: H1 - H2 0, the p-value is between 0.20 and 1.00 between 0.10 and 0.15 between 0.05 and 0.10 between 0.01 and 0.05. between 0.15 and 0.20
1. A study compared the number of tree species in unlogged forest plots to similar plots logged 8 years earlier. Independent random samples of both logged and unlogged plots were analyzed and the number of tree species was recorded. Tables 1 and 2 present the Shapiro-Wilk normality test for both types of forest plots and the Independent Samples t-test results. Use the information presented in these tables to answer the questions. Table 1: Tests of Normality Tests of Normality Kolmogorov-Smirnov Shapiro-Wilk Forest Plot Statistic df Sig. Statistic df Sig. Tree_Species Logged .181 12 .200 .936 12 .444 Unlogged .110 14 .200 .945 14 .480 *. This is a lower bound of the true significance. a. Lilliefors Significance Correction Table 2: Independent Samples Test Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Mean Std. Error F Sig. t df Sig. (2-tailed) Difference Difference Lower Upper Equal variances…

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