Part 1 of 2A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task willchange when they are allowed to wear ear buds at work. A random sample of 4 workers' times were collectedwith and without earbuds. Assume the populations of time to complete the task is normal.Without earbudsWith earbuds36.73451.949.543.44246.843.6Test whether the time to complete the task changed, on average, with earbuds at a significance level of0.05.a =The test statistic is(use 4 decimal places)

Solution To find the test statistic we will use paired t test.

Answered: A manager wishes to see if the time (in…

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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6.1 Sexual harassment of college students. A survey of 2036 undergraduate college students aged 18 to 24 reports that 62% of college students say they have encountered some type of sexual harassment while at college.1 Describe the sample and the population for this setting 6.4 How often do they play? In the Pew survey described in Example 6.1, those who played video games were asked how often they played. In this subpopulation, 223 adults said that they played every day or almost every day 6.10 How often do they play? Refer to Exercise 6.4 (page 318). (a) Find SE^p, the standard error of ^p. (b) Give the 95% confidence interval for p in the form of estimate plus or minus the margin of error. (c) Give the confidence interval as an interval of percents.
A reviewer checks to see if a bag of candy weighs less than advertised (e.g., 100 grams). What is the appropriate test statistic for each scenario a. One sample Z-test b. One sample t-test c. two related samples t-test d. two indepdent samples t-test
Assume the population variances are equal. A teacher wants to determine whether the mean scores for the online group and the classroom group with n = 9 respectively are different. What is the value of degrees of freedom?
Q8. Please help.
A consumer magazine wants to compare the lifetimes of ballpoint pens of three different brands (measured in days). The magazine takes a random sample of pens of each type in the following table. What is the correct test statistic? Brand 1 Brand 2 Brand 3 382 181 238 242 140 257 216 162 241 319 218 213 a. F (2, 9) = 5.54 b.r = -.34 c. t (11) = 12.16 d.p = .027
The mean number of sick days an employee takes per year is believed to be about 10. Members of a personnel department do not believe this figure. They randomly survey 8 employees. The number of sick days they took for the past year are as follows: 10; 5; 13; 3; 11; 8; 6; 9. Let X = the number of sick days they took for the past year. Should the personnel team believe that the mean number is about 10? Conduct a hypothesis test at the 5% level.Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) t = Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence…
Julius has conducted a very small study of the amount of sleep his dorm mates get each night. He believes that those who are on one of the school’s sports teams will get more sleep (measured in hours per night) than those who are not. Julius surveyed 12 people. Of these, 6 played on a sports team and 6 did not. The descriptive statistics from his survey are given below. PLAYS SPORTS (Sample 1) DOES NOT PLAY SPORTS (Sample 2) 8 6 9 6 8 5 7 7 8 7 7 6 What is the critical value for this test? what is the t-obtain value for this t-test? Based on your t-obtained value, what should you conclude about the null hypothesis for this test?
A hypertension trial is mounted, and 12 participants are randomly assigned to receive either a new medication or a placebo. Each participant takes the assigned medication, and the participants’ SBP is recorded after 6 months on the assigned medication. The data are shown in Table 7–9. Is there a difference in mean SBP between treatments? Run the appropriate test at a = 0.05. Placebo New Medication 134 114 143 117 148 121 142 124 150 122 160 128
Suppose that the time in minutes it takes a student to complete an assignment is normally distributed with a mean 50 and variance 100 then the 85th percentile of the average time it takes a random sample of 25 students to complete the assignment is closest to a 48. • b. 52 • C. 40. • d. 60. • e. 71.
A well known psychology graduate program claims that their Ph.D graduates get higher paying jobs than the national average. Last year’s figures for salaries paid to all graduates with D in Psychology on their first job showed a mean of P620.00 per hour. A random sample of 10 graduates from last year’s class showed the following hourly salaries for their first job. P540 P630 P720 P680 P640 P570 P580 P660 P670 P690 What can you conclude about the psychology graduate program’s claim? Show your complete computation and then answer the question
The mean number of sick days an employee takes per year is believed to be about 10.5. Members of a personnel department do not believe this figure. They randomly survey ten employees. The number of sick days they took for the past year are as follows: 12; 4; 15; 3; 11; 8; 6; 8; 2; 9. Let x = the number of sick days they took for the past year. Should the personnel team believe that the mean number is ten?
The city of Hampton is surveying households to see if the number of cats per household has changed over the past decade. The last known average of cats per household was 1.08. What statistical procedure should you use to analyze these data? O one sample z test Oone sample t test O correlated groups t test O independent groups t test

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