3. A researcher claims that the performance of graduates ofTraining Program 1 differ from the performance of graduates ofTraining Program 2. The table below summarizes the datagathered from 9 randomly selected graduates of each of thetraining program.Training ProgramTraining Program 1Training Program 2МeanStandard Deviation35.524.475231.564.0000At a = 0.10, is there enough evidence to support the researcher'sclaim?

There are two independent samples which are training program 1 and training program 2. We have to…

Answered: 3. A researcher claims that 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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A college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 200 students who completed this core set of courses results in a mean math score of 24 3 on the college entrance exam with a standard deviation of 3.7. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 24 on the mathematics portion of the exam? Complete parts a) through d) below. E a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are H -24 versus H₂H b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply. >24 A. The sample data come from a…
16) A test of sobriety involves measuring the subject's motor skills. Twenty randomly selected sober subjects take the test and produce a mean score of 41.0 with a standard deviation of 3.7. At the 0.01 level of significance, test the claim that the true mean score for all sober subjects is equal to 35.0. 16)
2. A professional racing team is holding tryouts at its test track. The team requires its drivers to have an average lap time of at most 133 seconds at its test track. The team will use a one sample z-test of significance to determine if they should hire a new driver. An amateur driver completes 10 timed laps of the test track with an average lap time of 140 seconds. If the standard deviation of all lap times at this track is 4.5 seconds, what is the value of the test statistic? Round your answer to two decimal places. Answer value Please show work!!!
2) A job placement director claims that the average starting salary for nurse is $26000. A sample of 18 nurses has a mean salary of $25620 and a standard deviation of $680. Is there enough evidence to reject the directors claim at a = 5% LOS?
1. According to the records of an auto insurance company, the average distance that their customers drive to work is 17.4 miles. You are a new agent, and you think this is too low. You do a random polling of 50 of the company's customers, and you find that the average is 18.5 miles with a standard deviation of 3.4 miles. Do these data provide enough evidence at the 0.05 level of significance to conclude that the average distance driven to work is actually more than 17.4 miles? A. State the null and alternative hypotheses B. State the p-value. C. What is your conclusion about the null hypothesis? D. What is your conclusion in context of this problem?
5. The manager of a rent-a-car business want to know whether the true average numbers of cars rented a day is 25 with a standard deviation of 6.9 rentals. A random sample of 36 days was taken and found to have an average of 22.8 rentals. Test at 0.05 level of significance. Type of test : Z computed = Z-tabular =
For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 29 students, and the distribution of total study hours per week is bell-shaped with a mean of 14 hours and a standard deviation of 3.3 hours.Use the Empirical Rule to answer the following questions.a) 68% of the students spend between ? hours and ? hours on Statistics each week.b) 95% of the students spend between ? hours and ? hours on Statistics each week.c) 99.7% of the students spend between ? hours and ? hours on Statistics each week.
9) Steel rods are manufactured with a mean length of 25 centimeters (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed, with a standard deviation of 0.07 cm. What proportion of rods has a length less than 24.9 cm? b. C. d. 25 Any rods that are shorter than 24.85 cm or longer than 25.15 cm are discarded. What proportion of rods will be discarded? Using the results of part (b), if 5,000 rods are manufactured in a day, how many should the plant manager expect to discard? If an order comes in for 10,000 steel rods, how many rods should the plant manager manufacture if the order states that all rods must be between 24.9 cm and 25.1 cm?
10. A recent medical study reported that blood pressure (diastolic type) for males in the 20 to 29 years-old range is approximately normally distributed with an mean of 91.7 and a standard deviation of 10.5. Using these numbers: a. What is the proportion of males in this age range with blood pressure greater than 100? b. What is proportion of males in this age range with blood pressure that is between 80 and 100? c. What are the Q1 and Q3 values?
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 39 months and a standard deviation of 5 months. Using the empirical rule, what is the approximate percentage of cars that remain in service between 24 and 34 months?
8
3. A psychologist expects gender differences in the mean number of times students check their Facebook per day. The psychologist asked 24 males and 24 females about their Facebook activity and found that the mean number of times for females was 12 whereas for males was 9. The study estimated the population standard deviation to be 5. Using the above information and α = .05, two-tailed, independent samples t-test, complete the following questions. a) What is the effect size of this study? b) What is the power of this study? c) Using the same effect size as 3a (and α = .05), how many total subjects would the researcher need to obtain the power of 0.96? d) Interpret your answer to the above question (3c). That is, what does power equal to 0.96 mean in the context of testing a hypothesis?

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