A driving school examined the results of 100 candidates who were taking their driving test for thefirst time. They found that, out of the 40 men, 28 passed, and out of 60 ladies, 34 passed. The headof the school would like to know if there exists a relationship between the gender of a candidate andthe ability to pass in the first attempt.Construct a table for the problem above. Hence, work out expected numbers for all the cellsof the table.

From the provided information, it is interpreted that: The no. of men is 40 (of which 28 passed).…

Answered: A driving school examined the results…

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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A teacher believes that students who study more than four hours for her tests will do better than students who do not study for her tests. To test this belief, the teacher recruited 16 students and randomly assigned them to two groups: G1: a group of n1=8 students that studied more than four hours for her test, and G2: a group of n2=8 students that did not study for her test. The following are the data from G1, who studied more than four hours for the test: n1=8 M1=85 s1=5 (this is the standard deviation of the sample, dividing the sum of squares by n1) The following are the data from G2, who did not study for the test: n2=8 M2=75 s2=4 (this is the standard deviation of the sample, dividing the sum of squares by n2) Perform a t-test by answering the questions below. Use an alpha-level of α=.05. 0. Using formulas from Section 4, compute the estimates of the population variances, est. σ12 and est. σ22 (from s1 and s2 above). 1. What is the research…
A team of researchers would like to determine whether the number of households that use the internet for more than an hour a day is greater in large cities or small towns. To do so, the researchers take two random samples. The first sample consists of randomly selected people who live in cities with more than 500,000 people around the country. The second sample consists of randomly selected people who live in towns with fewer than 20,000 people. Are these samples dependent or independent? Select the correct answer below: O These samples are independent. O These samples are dependent. Not enough information is provided to determine independence.
A research group conducted an extensive survey of 2940 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1470 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. How large a sample is needed if we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 1.6% of the population percentage? (Hint: Use p ≈ 0.50 as a preliminary estimate. Round your answer up to the nearest whole number.) workers
To investigate whether it helps to have a "white-sounding" first name when looking for a job, the researchers sent 5,000 resumes in response to ads that appeared in magazines. The resumes were identical except that 2,500 of them had "white-sounding" first names, such as Brett and Emily, whereas the other 2,500 had "black-sounding" names such as Tamika and Rasheed. Resumes of the first type elicited 251 responses and resumes of the second type only 169 responses. A button hyperlink to the SALT program that reads: Use SALT. Do these data support the theory that the proportion receiving responses is greater for those resumes with "white-sounding first" names? (Use ? = 0.05. Use pwhite-sounding − pblack-sounding.) Find the test statistic. (Round your answer to two decimal places.) z = Find the P-value. (Round your answer to four decimal places.) P-value = State your conclusion. Reject H0. We have convincing evidence that the proportion eliciting responses is higher for…
The university administrator wants a quick estimate of the average course size, i.e. how many students are enrolled in one course on average. However, since he does not want the faculty to find out about his interest, he has decided to use the students as his help. He has decided to randomly select 100 students to find out and report to him the number or numbers of students in his course or courses. Thus, his estimate of the average course size is the average of the numbers reported by the students.(a) Does such a procedure serve his purpose?(b) If you answered yes to the previous question, explain why. If you answered no to the previous question, present a more efficient way.
Using the same question from #3 A survey is done to find out the favorite movies of 500 children. The children are categorized into male and female, and a sample of 50 children is chosen. Answer the following question: If the number of female children is 300, what is the sample size of each stratum? a male sample: 40 and female sample: 10 b male sample; 25 and female sample: 25 c male sample: 30 and female sample: 20 d male sample: 20 and female sample: 30
A study was conducted to determine whether big-city and small-town dwellers differed in their helpfulness to strangers. In this study, the investigators rang the doorbells of strangers living in a large City or small towns in the vicinity. They explained they had misplaced the address of a friend living in the neighbourhood and asked to use the phone. The following data show the number of individuals who admitted or did not admit the strangers (the investigators) into their homes: Helpfulness to strangers Admitted strangers into their home Didnot admit strangers into their home Big city dwellers 60 90 Small town dwellers 70 30 State the dependent and independent variable Is this a directional or non directional
The manager of a theater that is open to residents of two towns, A and B, wants to know if the proportion of households from A that use the library is smaller than the proportion of households from B. In order to test this, the manager asks 45 households in A and 49 households in B whether anyone in their household had used the theater last summer. 23 of the households surveyed in A responded "yes", and 35 of the households in B responded "yes". Find the p-value that would be used to make a conclusion for this hypothesis test.
Psychologists at Disney World measured factors that affect the scariness of the soundtrack for their Haunted House ride. In particular, they were interested in the loudness of the screams (soft versus loud) and the length of the screams (short versus long). They used a 2 × 2 factorial design to test how these factors combined. They collected data from 10 different riders in each of the four conditions. Each rider rated the scariness of the ride on a nine-point scale. short screams long screams soft screams T=38, n = 10, SS = 13.6 T=64, n = 10, SS = 22.4 loud screams T=52, n=10, SS = 29.6 T=50, n=10, SS = 16.0 For these data: G = 204, N = 40, X2 = 1156. 1. Sketch a dataplot of the mean rating in each condition. 2. Calculate SS total, the total sum of squares 3. Calculate SSwithin, the within-treatments sum of squares. 4. Calculate SSbetween, the between-treatments sum of squares. 5. Calculate SSA the sum of squares for Factor A (length of scream). 6. Calculate SSB, the sum of squares…
Suppose a researcher is interested in examining the relationship between a person's gender and whether he or she likes the taste of Vegemite (a dark- brown food paste, made from yeast, that is popular in Australia). She collects a sample of n = 10 people and asks them whether they like the taste of Vegemite. The following table summarizes the results. Male Female Does Not Like the Taste of Vegemite 4 1 Likes the Taste of Vegemite 2 3 The researcher wants to calculate the correlation between a person's gender and whether he or she likes the taste of Vegemite. To do so, the researcher first creates a table of the data by converting each variable to a numerical value. She assigns 0 to "male" and 1 to "female." She then assigns 0 to "does not like the taste of Vegemite" and 1 to "likes the taste of Vegemite."
21 subpart a
1. For her botany class project, Jennifer wonders if there is a connection between the average weight of watermelons a vine produces and the root depth of the vine. Jennifer suspects that vines with deeper roots have a better water supply and produce larger melons. From a large watermelon field, 10 vines are chosen at random. At the end of 8 weeks, the watermelons are removed from each vine and the average weight of the watermelons from each vine is determined. Each plant is carefully dug up and its root depth (or length) is measure. Let x represent the root depth (to the nearest inch) and y be the mean weight of the watermelons on the vine (in pounds). Suppose that x = 17, s, = 6, y = 12, s, = 5.1, and r = = 0.93. a. Find the equation of the least squares regression line (round a and b to the nearest tenth). b. List 2 points that you know will be on the least-squares line you found in part a. c. What percent of variation is accounted for by a linear relationship? d. Using part a.,…

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