1. Records show that the performance of male college students in Mathematics in terms offinal grade is 5% higher than in female college students with a corresponding standarddeviations of 4.35% and 3.97%, respectively. A mathematics instructor verifies thisinformation by having the final grades. There are 80 students, consisting of 44 femalesand 36 males. The following statistics are shown:SexMaleFemaleAverage Final Grade93.45%87.42%Can the mathematics instructor say that the difference between the average final gradesobtained by the males and females is higher than 5%? Use 5% level of significance.Solution:1. State the null and the alternative hypotheses of the given problem.2. Determine the level of significance and the direction of test.3. Test Statistics:

In the given scenario, the final grades of students were compared. The average final grades of the…

Answered: 1. Records show that the performance of…

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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In 1955, Life Magazine reported that the 27-year-old mother of three worked, on average, a 75 hour week. Recently, many groups have been studying whether or not the women's movement has, in fact, resulted in an increase in the average work week for women (combining employment and at-home work). Suppose a study was done to determine if the mean work week has increased. 85 women were surveyed with the following results. The sample mean was 80; the sample standard deviation was ten. Does it appear that the mean work week has increased for women at the 5% level?
Answer the questions below. (a) The following number of people attended the last 9 screenings of a movie: 196, 200, 201, 202, 203, 206, 207, 208, 211. Which measure should be used to summarize the data? Mean Median Mode (b) On a test, each student is given a grade of A, B, C, D, or F. Which measure tells the grade given most often? Mean Median Mode (c) In the past 9 days, Greg has received the following numbers of email advertisements per da 41, 42, 43, 44, 47, 48, 49, 52, 87. Which measure should be used to summarize the data? Mean Median Mode
Given the set of data: {77, X. 75, 79, 79, X, 76, 75, X, 76). If the unknown data X is the mode and the mean of the data set is 77.10. Determine the: (a) Mode (b) Median (c) Standard Deviation.
5. For 2019, the mean fare to fly from Los Angeles to Miami was $250 on Aero Lindvallia. In December 2021, nine flights were randomly surveyed resulting in the following ticket price data being recorded: $ 321 $ 280 24 $ 286 $ 299 $310 $ 275 $ 250 $ 270 $ 281 The numbers above can be copied & pasted directly into Microsoft Excel®. a. What test would you use to determine if the ticket prices had gone up or down? Is it a one-tailed or two-tailed test? Explain. b. Calculate the necessary statistics to perform that test. c. Using the 6-step hypothesis testing procedure, perform the test that you described above. Use a level of significance of 0.01. Comment on each step of the 6-step hypothesis testing procedure; especially explain why a t-distribution must be used. d. Compute the p-value. Would the results of the hypothesis test change if the level of significance was 0.05? se ecA u
On average 16 customers are served per hour in a bank serving point. What is the mean and standard deviation of the customers served in one hour respectively? Select one: a.4 and 4 b.None c.4 and 16 d.16 and 16 e.16 and 4
Suppose you want to estimate the percentage of videos on YouTube that are cat videos. It is impossible for you to watch all videos on YouTube so you use a random video picker to select 1000 videos for you. You find that 2% of these videos are cat videos. A. What is the sample? B. Label each of the following as an observational unit, a variable, a statistic, or a parameter i. Percentage of all videos on YouTube that are cat videos. ii. 2% iii. A video in your sample. iv. The proportion of videos in your sample that are cat videos.
Please check picture and answer with detail explaination.
The histogram below gives the length of service of members of the Department of Mathematics and Statistics at a particular university. The classes, in years of service, are 0-4.9, 5-9.9, etc., and the vertical axis represents the number of faculty. (a) What percent of the department faculty have 5 or more years of service? (answer in %) (b) If a member of the department is chosen at random to serve on a university committee, what is the probability (in decimal form) that the chosen representitive will have between 10 and 25 years of service? (c) What is the probability the representative above will have less than 15 years of service given that the person has less than 20 years of service?
In a city with three high schools, all the ninth graders took a Standardized Test, with these results: Highschool Mean score of test number of 9th grades Glenwood 81 275 Central City 95 338 Lincoln High 66 172 The city's PR manager, who never took statistics, claimed the mean score of all ninth graders in the city was 83 . Of course, that is incorrect. What is the mean score for all ninth graders in the city? Round to one decimal place. mean of all ninth grader's scores =
Seven students on an intramural team weigh 179 lb, 177 lb, 174 lb, 185 lb, 167 lb, 186 lb and 220 lb. What is the standard deviation of the weights of these students?
To estimate the mean score on a departmental exam, a sample of 40 student departmental exams is taken.
should have the right to marry. (The 2014 data were collected before the 2015 U.S. C2. GSS 2014 and GSS 2018 respondents were asked their opinion on whether homosexuals 30 measured on a 5-point scale from strongly agree (1) to strongly disagree (5). Supreme Court decision granting same-sex couples the right to marry. Responses wer measured on a 5-point scale from strongly agree (1) to strong!y aisagiee (2). Cumulative Percentage Homosexuals Should Have Right to Marry (2014) Percentage Frequency 32.5 32.5 Strongly agree 251 57.5 25.2 Agree 195 67.3 Neither agree nor disagree 9.6 74 79.2 Disagree 92 11.9 100.0 Strongly disagree 161 20.8 Total 773 100.0 Homosexuals Should Have Cumulative Right to Marry (2018) Frequency Percentage Percentage Strongly agree 293 39.5 39.5 Agree 200 27.0 66.5 Neither agree nor disagree 70 9.4 75.9 Disagree 67 9.0 84.9 Strongly disagree 111 15.0 99.9 Total 741 99.9 a. What is the level of measurement for this variable? b. What is the mode for 2014? For 2018?

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