Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering dlass must have a greater mean IQ score than that ofentering classes from previous years. The administrator tests a random sample of 10 of this year's entering students and finds that their mean IQ score is 117,with a standard deviation of 12. The college records indicate that the mean IQ score for entering students from previous years is 113.Is there enough evidence to conclude, at the 0.10 level of significance, that the population mean IQ score, p, of this year's class is greater than that of previousyears? To answer, assume that the IQ scores of this year's entering class are approximately normally distributed.Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)(a) State the null hypothesis H, and the alternative hypothesis H,.H, :0H, :0(b) Determine the type of test statistic to use.(Choose one)O=DロSロ(c) Find the value of the test statistic. (Round to three or more decimal places.)D>O Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)(a) State the null hypothesis Ho and the alternative hypothesis H,.H. :0文S.H, :0(b) Determine the type of test statistic to use.(Choose one)O=D0OSO(c) Find the value of the test statistic. (Round to three or more decimal places.)D>O(d) Find the critical value. (Round to three or more decimal places.)(e) Can we conclude that the mean IQ score of this year's class is greater thanthat of previous years?Yes ONo

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Answered: Thanks to an initiative to recruit top…

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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According to a news program, Americans take an average of 4.9 days off per year because of illness. The manager of a large chain of grocery stores wants to know if the employees at the grocery store, on average, take fewer days off than the national average. The manager selects a random sample of 80 employees in the company and found the sample mean number of days off for the 80 employees was 4.75 days with a standard deviation of 0.9 days. When the manager performed a significance test, the P-value was 0.07. What is the meaning of this P-value in context?
Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
In Professor Krugman’s economics course, the correlation between the students’ total scores prior to the final examination and their final‑examination scores is ?=0.5.r=0.5. The pre‑exam totals for all students in the course have mean 280280 and standard deviation 40.40. The final‑exam scores have mean 7575 and standard deviation 8.8. Professor Krugman has lost Julie’s ﬁnal exam but knows that her total before the exam was 300.300. He decides to predict her ﬁnal‑exam score from her pre‑exam total. (a) Which of the choices is the least‑squares regression line of ﬁnal‑exam scores on pre‑exam total scores in this course?
A local community college reported that the average SAT score of its students is 960 with a standard deviation of 82. If a student scored 975 on the SAT, what is the student's z score? Did the student do better or worse on the SAT compared to the average student in the college?
The honors program at Brad's university only accepts students with an entrance exam score over 400. What percentage of students would be eligible if the students at Brad's school have an average exam score of 250, with a standard deviation of 80?
Suppose that a report by a leading medical organization claims that the healthy human heart beats an average of 72 times per minute. Advances in science have led some researchers to question if the healthy human heart beats an entirely different amount of time, on average, per minute. They obtain pulse rate data from a sample of 85 healthy adults and find the average number of heart beats per minute to be 76, with a standard deviation of 13. Before conducting a statistical test of significance, this outcome needs to be converted to a standard score, or a test statistic. What would that test statistic be? (Use decimal notation. Give your answer to one decimal place.) test statistic:
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1478 and a standard deviation of 292. The local college includes a minimum score of 689.6 in its admission requirements.What percentage of students from this school earn scores that satisfy the admission requirement?
A highly selective boarding school will only admit students who place at least 2.5 standard deviations above the mean on a standardized test that has a mean of 300 and a standard deviation of 26. What is the minimum score that an applicant must make on the test to be accepted?
The manager at a drive through has implemented a new process and wants to check if the new drive through process has a mean less than 188.83 seconds. The overall std. deviation of all the stores across the globe is 20 seconds. He has taken a sample of 39 and found the mean time to be 186.90 seconds. What does the hypothesis test lead to? Is there evidence to suggest the process has really improved?

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