Year 12 students at Newstatus School choose to participate in one of four sports during theSpring term.The students' choices are summarised in the table.MaleFemaleTotalSquash549Badminton162036Archery303363Hockey195372Total70110180(a) Use a x² test, at the 5% level of significance, to determine whether the choice of sportis independent of gender.(b) Interpret your result in part (a) as it relates to students choosing hockey.

The data for choice of sport and gender is given…

Answered: Year 12 students at Newstatus School…

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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Four factors are thought to influence the taste of the dietary product: A - type of sweetener; B – fruit content; C – percentage fat matter; D - temperature. A full factorial experiment was conducted with these 4 factors. At each run in the design, samples of the dietary product were tested by panel of experts who rated the taste on a scale from 1 to 10, the response variable taken being the sum of individual ratings. The results are listed in the table below, in the standard order of runs. Generate the design for this experiment, analyse the results by producing main effects and interactions plots and discuss the most significant factors that can be used to find a formulation that maximises the total score. Run (std order) 1 2 4 7 8 10 11 12 13 14 15 16 Total score 169 178 168 176 185 189 183 189 174 197 173 195 178 207 180 204
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Statistics and probability
A study compared the felt intensity of unrequited love among three groups - individuals who were currently experiencing unrequited love, those who had previously experienced unrequited love and described their experiences retrospectively, and those who had never experienced unrequited love but described how they thought they would feel if they were to experience it. The results of the study are summarized in the accompanying table. Determine the significance of the difference among groups, using the 5% level. N 40 40 40 M 3.5 3.3 3.7 S2 5.3 5.8 4.8 1. What is th null hyp? 2.The comparison distribution will be an F distribution with df= ? and df=? 3.Determine the cutoff sample score on the comparison distribution at which the null hypothesis should be rejected for the data. At 0.05 the cutoff for F=? 4. Determine the sample's score on the comparison distribution for the data. F=?
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You gather data from two local churches about the average offering (a monetary donation to the church)that is collected at a weekly service. You want to see whether the average offering given at one churchis the same as the average offering at another church. The number of people who attend Church 1 is201, and the average amount offered is $12.50. The number of people who attend Church 2 is 350, andthe average amount offered is $11.87. The sample standard deviations for Church 1 and Church 2 are$3.15 and $4.57, respectively. (a) What is the hypothesis you want to test? (b) Calculate the test statistic and test your hypothesis at the 95 and 99 percent confidence levels. (c) Pretend that the sample means and standard deviations remain the same, but that the numberof people sampled at Church 2 was 201 instead of 350. Does your test-statistic change? Does the critical value change?
A class of students took a test. The instructor said that the 75th percentile score was 90 out of 100. What does this mean? A. 90% of the students scored 75 or more on the test. B. 75% of the students scored 90 or more on the test. C. 25% of the students scored 90 or more on the test. D. The high score in the class was (.75)(90).
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