A researcher is interested in the world average growth rate. To study thus research question, arandom sample of 7 countries is chosen and the growth rates for them is summarized in the table1.below:Country Growth rate (%)A5В103-6EF4G-3The researcher believe that growth rate of world are normally distributed with populationvariance of 2.a)The researcher believes that the world average growth rate is 2. Test the researcherhypothesis at 1% significance level against the two sided alternative using z-comparisonapproach. Clearly write null and alternative hypothesis for this question.b)Does your answer change if the significance level is changed to 10% significance levelin part a)? Explain.c)Explain in words, how decreasing the significance level affects your hypothesis testing:Does 'rejecting the null hypothesis' scenario become less or more strict?

A single z - test would be appropriate, if you are interested to compare the population average with…

Answered: 1. A researcher is interested in 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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The table below shows the number of fatal heart attacks in 19 selected European Union countries during 2014 along with the 2014 debt-to-GDP ratios for these countries in 2014. Compare the coefficients of variation and comment on your findings. Country Fatal Heart Attacks 2014* Debt to GDP Ratio** 1 Austria 14,521 225% 2 Belgium 7,792 327% 3 Czech Republic 26,171 128% 4 Denmark 3,943 302% 5 Finland 10,338 238% 6 France 33,513 280% 7 Germany 121,471 188% 8 Greece 12,200 317% 9 Hungary 32,138 225% 10 Ireland 4,283 390% 11 Italy 69,653 259% 12 Netherlands 8,956 325% 13 Poland 38,642 134% 14 Portugal 7,456 358% 15 Romania 50,667 104% 16 Slovakia 13,381 151% 17 Spain 32,564 313% 18 Sweden 12,617 304% 19 United Kingdom 69,325 252%
You are testing the claim that having lights on at night increases weight gain (abstract). A sample of 10 mice lived in an environment with bright light on all of the time and 8 mice who lived in an environment with a normal light/dark cycle is given below. Test the claim using a 10% level of significance. Assume the population variances are unequal and that the weight changes are normally distributed. Give answers to 3 decimal places. Data available at StatKey, choose Mice Wgt Gain-2e data set Light (x₁) 1.71 4.67 4.99 5.33 5.43 6.94 7.15 9.17 10.26 11.67 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols in the order they appear in the problem. Ho: Select an answer ? V Select an answer V Ha: Select an answer ✓ Based on the hypotheses, find the following: Test Statistic = Dark (₂) 2.27 2.53 2.83 4 4.21 4.6 5.95 6.52 p-value = ? V Select an answer V (Hint: difference in means from Ha) The correct decision is to Select an answer…
Hi, I'm stuck with question 2. Question 1 given the example for this question
Part 2 Q2: Put (True) or (False). Write True or False for six questions from the following question. Write the reasons for correct answers, and correct any statement/answer if it is false (12 Marks). 1. As the sample size increases, the variance of the estimator decreases.
11.a)Consider a data set for which we calculate the variance using both the population equation and the sample equation. If the sample equation gives us a value 11% higher than the population equation, how many values are in the data set? 5 6 7 8 9 10 11 12 13 14 15
35. Statistics students in Oxnard College sampled 10 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data are shown below: Number of Pages (xx) Cost(yy) 757 134.55 538 106.7 782 142.3 461 83.15 597 116.55 372 74.8 328 75.2 480 92 978 154.7 261 58.15 A student calculates a linear modely = x + . (Please show your answers to two decimal places)Use the model to estimate the cost when number of pages is 849.Cost =$ (Please show your answer to 2 decimal places.)
A statistical program is recommended. A company provides maintenance service for water-filtration systems throughout southern Florida. Customers contact the company with requests for maintenance service on their water-filtration systems. To estimate the service time and the service cost, the company's managers want to predict the repair time necessary for each maintenance request. Hence, repair time in hours is the dependent variable. Repair time is believed to be related to three factors, the number of months since the last maintenance service, the type of repair problem (mechanical or electrical), and the repairperson who performed the service. Data for a sample of 10 service calls are reported in the table below. ŷ = Repair Time in Hours 2.9 3.0 ŷ = 4.8 1.8 2.4 4.9 4.7 4.8 4.4 4.5 Months Since Last Service 2 6 8 3 2 7 9 8 4 6 Type of Repair Electrical Mechanical Electrical Mechanical Electrical Electrical Mechanical Mechanical Electrical Electrical Repairperson Dave Newton Dave…
Actuaries use various parameters when evaluating the cost of a life insurance policy. The variance of the life spans of a population is one of the parameters used for the evaluation. Each year, the actuaries at a particular insurance company randomly sample 30 people who died during the year (with the samples chosen independently from year to year) to see whether the variance of life spans has changed. The life span data from this year and from last year are summarized below. Current Last Year Year *1 = 75.8 x2 = 76.2 s3 = 47.61 s3= 92.16 (The first row gives the sample means and the second row gives the sample variances.) Assume that life spans are approximately normally distributed for each of the populations of people who died this year and people who died last year. Can we conclude, at the 0.05 significance level, that the variance of the life span for the current year, of, differs from the variance of the life span for last year, o,? Perform a two-tailed test. Then complete the…
Part 1. .If b = 0.523, then for every 1 unit increase in the independent variable, there is a 0.523 unit increase in the dependent variable. True or false? 2. .If b = .704, then 70.4% of the variance in the dependent variable can be explained by the variance in the independent variable. In contrast, 29.6% of the variance in the dependent variable can be explained by outside factors. True or false? 3. .If r = 0.444, then for every 1 unit increase in the independent variable, there is a 0.444 unit increase in the dependent variable. True or false?
5.Stocks and Mutual Fund Ownership It has been found that 51.4% of U.S. households own stocks and mutual funds. A random sample of 300 heads of households indicated that 178 owned some type of stock. At what level of significance would you conclude that this was a significant difference? Use the P-value method. Assume the variable normally distributed. Use a graphing calculator. Find the P-value. At what level of significance is this a significant difference?
You are asked to calculate the 94% Cl for the mean value of a normally distributed population with known variance = 144. Which of the following critical values should be used?
Identify the correct null hypothesis (from the below choices) for each: 1. A study wished to see if husbands or wives are more satisfied in their marriage. They selected 100 married couples and asked both the husband and wives to rate their satisfaction on a scale of 1 to 10. [Select] 2. A study wished to see if husbands or wives are more satisfied in their marriage. They selected a 100 married men and 100 married women and asked them rate their satisfaction on a scale of 1 to 10. [Select] 3. A study wished to see if husbands or wives are more satisfied in their marriage. From a previous study the average score (from 1 to 10) of wives was 6.5. They selected a sample of 100 married men and asked them to rate their satisfaction on a scale of 1 to 10. [Select]

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