Write your complete solutions.The final test and exam averages for 20 randomly selected students taking a course inengineering statistics and a course in operations research are in the table below.Assume that the final averages are jointly normally distributed.d) Test the hypothesis that p = 0, using a = 0.05.e) Test the hypothesis that p = 0.5, using a = 0.05.equations on this slide to answer the question)f) Construct a 95% confidence interval for the correlation coefficient.StatisticsOR Statistics OR Statistics OR86808681838175817176757069756572717375818485767290927172848094956265979883809093

Answered: Write your complete solutions. The…

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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You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 427 randomly selected caterpillars observed, 45 lived to become butterflies. a. Use 3 decimal places to complete the following statement: With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between and . b. If many groups of 427 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about percent will not contain the true population proportion.
A statistics practitioner took a random sample of 42 observations from a population whose standard deviation is 30 and computed the sample mean to be 102. Note: For each confidence interval, enter your answer in the form (LCL, UCL). You must include the parentheses and the comma between the confidence limits. A. Estimate the population mean with 95% confidence. Confidence Interval = B. Estimate the population mean with 90% confidence. Confidence Interval = C. Estimate the population mean with 99% confidence. Confidence Interval =
A statistics practitioner took a random sample of 55 observations from a population whose standard deviation is 28 and computed the sample mean to be 110. Note: For each confidence interval, enter your answer in the form (LCL, UCL). You must include the parentheses and the comma between the confidence limits. A. Estimate the population mean with 95% confidence. Confidence Interval =| B. Estimate the population mean with 90% confidence. Confidence Interval = C. Estimate the population mean with 99% confidence. Confidence Interval =
According to recent data by the American Marketing Association, 76.5%of people in the 18-24 age group used social media in 2017. You want to find out what the social media proportion is among your classmates who are all between 18 and 24 years old. Suppose you obtain a random sample of 229 students and find that 202 students in this sample are active social media users. Complete parts a through c below. a. Construct a 99% confidence interval to estimate the actual proportion of social media users. A 99% confidence interval to estimate the actual proportion has a lower limit of------ and an upper limit of------- (Round to three decimal places as needed.) b. What is the margin of error for this sample? c. Is there evidence that this proportion matches that of the overall population based on the sample?
For each problem, you must state the hypotheses, calculate the test statistic, and explain your decision. The following table reports the relationship between class standing and political orientation for a random sample of 267 college students. a. The table is constructed assuming that class standing is the independent variable. Please add %s in the appropriate position (columns or rows) to describe the pattern of the relationship. b. Is there a statistically significant relationship between these variables?
A certain statistics instructor participates in triathlons. The accompanying table lists times (in minutes and seconds) he recorded while riding a bicycle for five laps through each mile of a 3-mile loop. Use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have a hill? LOADING... Click the icon to view the data table of the riding times. Question content area bottom Part 1 Determine the null and alternative hypotheses. H0: ▼ mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3 mu 1 not equals mu 2 not equals mu 3μ1≠μ2≠μ3 Exactly two of the population means are different from each other.Exactly two of the population means are different from each other. At least one of the three population means is different from the others.At least one of the three population means is different from the others. mu 1 equals mu 2 equals mu 3μ1=μ2=μ3 H1: ▼ mu 1 greater than mu 2…
A researcher hypothesizes that different colors of cars result in different average speeds. To test this claim, she took a random sample of 20 people who own 4 different colors of colors of cars (n = 20, N = 80, G = 4), and she then tracks their average speed on the highway for a week of driving. The following ANOVA table has some of her results. Please help her answer her research questions by completing the following ANOVA table below and answering the follow-up questions. Be sure to label your answers with the appropriate letter and show all your work! Source Sums of Squares df Mean Square F Effect (between) Error (within) 100.90 ------ Total 170.10 ------- ------ a) What is the Sums of Squares (SS) between (effect)? b) What are the Mean Square (MS) between (effect) and the MS within (error)? c) What are the degrees of freedom (df) between, the df within, and the df total? d) What is the overall F-statistic? e) Based on the…
A developmental psychologist believes that children’s self-esteem scores change with age. She measures N=8 children’s self-esteem in 3rd grade and again in 6th. Evaluate the results of her data using α = .052tail. **Attached Image** a. Show how the 95% confidence interval was calculated. b. State the conclusion in APA format. c. What is Cohen’s d?
A survey of 32,782 adults in 2004 indicated that 24.6% of adults were current smokers. A similar study conducted in 1995 of 40,000 adults indicated that 29.7% were current smokers. a. Find and interpret a point estimate of the difference between the proportion of current smokers in 1995, and the proportion of current smokers in 2004. b. A 95% confidence interval for the true difference is (-0.058,-0.045). Interpret. c. What assumptions must you make for the confidence interval i part b to be valid? (…) a. Find a point estimate of the difference between the proportion of current smokers in 1995 and the proportion of current smokers in 2004. (Round to three decimal places as needed.)
each item # 7-8. 7. Researchers study the effect of political commercials and the likelihood of people inspired to vote for former President Trump in the 2024 presidential election. They show a political commercial to a random sample 150 people. The researchers found a 90% confidence interval for the proportion of people who were influenced to vote for former President Trump after viewing the political commercial to be (0.56, 0.72). Which is true based on the given confidence interval? Select the two correct answers. e. a. We are 90% confident that the true proportion of people inspired to vote for former President Trump after viewing a political commercial is between 0.56 and 0.72. b. 90% of all 90% confidence intervals constructed in this way will capture the true proportion of people inspired to vote for former President Trump after viewing a political commercial. c. We're 90% sure that the proportion of people in this research sample inspired to vote for Sve former President Trump…
The figure to the right shows the results of a survey in which 2000 college graduates from the year 2016 were asked questions about employment. Construct 99% confidence intervals for the population proportion of college students who gave each response. Employment College students' responses to questions about employment Expect to stay at first employer for 3 or more years Completed an apprenticeship or internship 70% 66% Employed in field of study 61% Feel underemployed 46% Prefer to work for a large company 15% The 9970 Conuenit initivaliui int proportion un cuiityt diuutid inal txptul iu diay al ineli idi empivyti iui j'ui muit years is (0.01, 0.121). (Round to three decimal places as needed.) The 99% confidence interval for the proportion of college students that have completed an apprenticeship or internship is (J.). (Round to three decimal places as needed.)
You are a researcher studying the antler size of male Alaskan Moose in a certain Alaska location. You gather a random sample of 18 male moose and record the width (in feet) of the antlers. The data is displayed in the table below. Estimate the mean antler width of all Alaskan male moose in this area. Use a 90% confidence level. 3.6 5.6 3.4 3.4 4 5.2 4.6 4.3 4.6 4.6 2.2 6.4 3.6 3.1 5.4 4.4 3.3 4.3 a) Find the confidence interval: < μμ < b) What is the margin of error of your interval? c) Interpret your 90% confidence interval in context.

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