Provide an appropriate response.Many track runners believe that they have abetter chance of winning if they start in theinside lane that is closest to the field. For thedata below, the lane closest to the field is Lane1, the next lane is Lane 2, and so on until theoutermost lane, Lane 6. The data lists thenumber of wins for track runners in thedifferent starting positions. Calculate the chi-square test statistic x² to test the claim that thenumber of wins is uniformly distributed acrossthe different starting positions. The results arebased on 240 wins.Starting Position 1 2 3 4 5 6Number of Wins 32 36 45 44 33 5012.5929.3266.75015.541 Calculate x² from contingency table.Use the sample data below to calculate the chi-squared test statistic for testing whether carcolor affects the likelihood of being in anaccident. Use a significance level of 0.01.Red Blue WhiteCar has been inaccidentCar has not beenin accident6.6350.42870.0500.579O 9.21028 3323 223630

“Since you have asked multiple question, we will solve the first question for you. If you want any…

Answered: Many track runners believe that they…

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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M3
A researcher wants to know if the news station a person watches is a factor in the amount of time (in minutes) that they watch. The table below shows data that was collected from a survey. FOX CNN Local 60 59 50 69 55 31 61 49 28 70 16 58 49 49 15 55 41 32 59 58 46 53 66 38 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.1α=0.1.H0: μ1=μ2=μ3H0: μ1=μ2=μ3Ha:Ha: At least two of the means differ from each other. For this study, we should use The test-statistic for this data = (Please show your answer to 4 decimal places.) The p-value for this sample = (Please show your answer to 4 decimal places.)
In a frequency distribution coefficient of skewness based on quartiles is 0.8 if the sum of the upper and lower quartiles is 100 and the median is 36 find the value of the lower and upper quartiles.
Tiffany is a manager who needs to fire the worst performing 3% of employees. At her organization, employee performance is a normally distributed variable. Tiffany should fire employees who have a performance score that correspond with a z-score less than or equal to _____
The figure shows population density (people per square mile) for all states of a certain country. The states are divided into four geographical regions: A, B, C, and D. Answer the questions below. D- 0 100 200 300 400 500 600 700 800 900 1000 1100 People per Square Mile Why is it best to compare medians and interquartile ranges for these data, rather than comparing means and standard deviations? OA. These data are fairly symmetric and do not have outliers, and the median and interquartile range provide more reliable information in these circumstances. B. Some of these data have outliers and/or are skewed, and the median and interquartile range amplify the effects of outliers and skewness. OC. Some of these data have outliers and/or are skewed, and the median and interquartile range are resistant to outliers. OD. Some of these data have vastly different centers, and the median and interquartile range provide more reliable information in these circumstances. List the approximate median…
Two companies produce widgets of varying quality. An important measure of quality is the number of days the widgets can go before they need to be replaced. Do the following data provide evidence that the quality of widgets from the two companies differ? Round the p-value to three decimal places. Do not assume equal variances. Widget Life in Days from Company 1 13.0 13.2 43.2 40.7 55.0 57.3 43.8 49.9 31.7 Widget Life in Days from Company 2 57.1 57.7 59.1 58.7 51.6 57.9
A graduate student is interested in how viewing different types of scenes affects working memory. For his study, he selects a random sample of 36 adults. The subjects complete a series of working memory tests before and after walking in an urban setting. Before the walk, the mean score on the test of working memory was 9.1. After the walk, the mean score was 1.4 higher. The graduate student has no presupposed assumptions about how viewing different types of scenes affects working memory, so he formulates the null and alternative hypotheses as: H00 : μDD = 0 H11 : μDD ≠ 0 Assume that the data satisfy all of the required assumptions for a repeated-measures t test. The graduate student calculates the following statistics for his hypothesis test: Mean difference (MDD) 1.4 Estimated population standard deviation of the differences (s) 1.6 Estimated standard error of the mean differences (sMDMD) 0.2667 Degrees of freedom (df) 35 The t statistic 5.25 The critical values of t…
A teacher has 10 students in her class. She collected the finishing time (in minutes) of the mathematics testfor all students:20 24 22 32 23 25 37 26 40 35(a) Find the 25th percentile and 75th percentile of the data. (b) Find the median of the data. (c) Find the range and interquartile range of the data (d) Comment on the skewness of the data with a reason.
Ria wants to know if there is a specific difference between the average monthly hair growth using Shampoo A vs Shampoo B. She recruited 8 participants and compared their average monthly hair growth (in centimeters) using two different brands. Her data is assumed to be normally distributed which produced the following values:
The average fruit fly will lay 377 eggs into rotting fruit. A biologist wants to see if the average will be greater for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 367, 374, 364, 388, 407, 369, 375, 362, 403, 383, 381, 391, 371 What can be concluded at the the αα = 0.10 level of significance level of significance? The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
What price do farmers get for their watermelon crops? In the third week of July, a random sample of 40 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. Assume that ? is known to be $1.92 per 100 pounds.
Give a brief example of both a theoretical distribution of data.

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