### Stress at Work: Analysis of Workers' Perceptions#### In a poll about work, 60% of respondents said that their jobs were sometimes or always stressful. Fourteen workers are chosen at random.---### Part 1 of 2**(a) What is the mean number who find their jobs stressful in a sample of 14 workers?**- Round the answer to two decimal places.#### Answer Format:`The mean number who find their jobs stressful is [Textbox] . [Submit Button]`---### Part 2 of 2**(b) What is the standard deviation of the number who find their jobs stressful in a sample of 14 workers?**- Round the answer to four decimal places.#### Answer Format:`The standard deviation of the number who find their jobs stressful is [Textbox] . [Submit Button]`---This interactive educational example helps in understanding how to calculate the mean and standard deviation for a given percentage within a sample population, translating theoretical understanding into practical application.

Givers In a poll about 60% of respondents said that their job was stressful. some time or…

Answered: Stress at work: In a poll about work,…

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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Suppose the average credit card debt for Americans is $7000 and is not normallydistributed with a standard deviation of $2400. If we sample 40 Americans, find the probabilitythat the sample mean of credit card debt is less than $6500.
Consider the data that was obtained from a random sample of 41 credit card accounts. Identify all the averages (mean, median, or mode) that can be used to summarize the name of credit card (e.g., MasterCard, Visa, American Express, etc.) O median if it exists mean and mode if it exists O mean, median, and mode if it exists O mode if it exists mean if it exists
Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850 , with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is more than the cutoff of 720 . She finds that a random sample of 120 people had a mean FICO score of 740 with a standard deviation of 90 . Can the economist conclude that the mean FICO score is greater than 720 ? Use the =α0.01 level of significance and the P -value method with the
John finds that there is a scholarship available to all persons scoring in the top 5 % on the ACT test. If the mean score on the ACT is 21 with a standard deviation of 4.7, what score does he need in order to qualify for the scholarship?
Do students ever make up information for an assignment? You be the judge. Students in an applied psychology class were sent out to be observer 100 cars and report how many of the drivers wear wearing seat belts. Each student reported the number of drivers he or she saw wearing seat belts as his or her score. The mean for the class was 65, with the standard deviation of 7. One student, who had a reputation for not doing his assignments, reported seeing 42 belted drivers. Assuming the student actually counted, use the normal curve table to determine the probability that he observed 42 or fewer seat belt users. Based on this probability, do you suspect he made up the numbers rather than actually counting?
Jeff is doing an experiment involving mice. The mice weights have mean weight 2.37 ounces and standard deviation 0.053 ounces. Jeff selects 9 mice independently and calculates the sample mean, x̄, of their weights. What is the standard deviation of x̄?
Three students were applying to the same graduate school. They came from schools with different grading systems. Thuy is Vichet is Kamala is Number Number Student GPA School Thuy Number 2.5 Vichet 86 Table 2.74 School Average 2.8 80 Kamala 8.5 8.3 How many standard deviations is each student away from hiir school average? If the student GPA is higher than his school average, enter this as a positive number. If the student GPA is lower than his school average, enter this as a negative number. Average GPA GPA School Standard Deviation 0.8 10 0.5 standard deviations from Thuy's school average. standard deviations from Vichet's school average. standard deviations from Kamala's school average.
The college board reports that in a recent year, the mean mathematics SAT score was 514, and the standard deviation was 118. A sample of 65 scores is chosen. Find the 98th percentile of the sample mean.
An article in a local town newspaper discusses the results of state test scores in their town. The reporter headlines, "The students in this town don't have the necessary skills. The overall student population is less than what is reported at the state level" The state test says that a score of 261 or higher on its test reflects the student has the skills needed to graduate. A local town newspaper conducted a random sample of 200 students and found the mean to be 257 and a standard deviation of 41 points. a. State the null (H0) and alternative (Ha) hypotheses. b. Give the standard score for the data. c. Find the P-value for this significance test. e. Sketch your results on the standard Normal distribution f. Summarize the conclusion in the context of this problem.
One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. You are interested in the mean score, μ , among the general population on this subsection. The website reports that μ is 145, but you have good reason to believe that μ is less than 145. You decide to do a statistical test. You choose a random sample of people and have them take the personality test. You find that their mean score on the subsection is 139 and that the standard deviation of their scores is 28. Based on this information, complete the parts below. (a) What are the null hypothesis H0 and the alternative hypothesis H1that should be used for the test? H0: H1: (b) Suppose that you decide to reject the null hypothesis. What sort of error might you be making? ▼(Choose one) (c) Suppose the true mean score among the general population on the subsection is 136. Fill in the blanks to describe a Type II error. A Type II error…
College bound: A national college researcher reported that 64% of students who graduated from high school in 2012 enrolled in college. Twenty seven high school graduates are sampled. Part 1 of 2 (a) What is the mean number who enroll in college in a sample of 27 high school graduates? Round the answer to two decimal places. The mean number who enroll in college in a sample of 27 high school graduates is Part 2 of 2 (b) What is the standard deviation of the number who enroll in college in a sample of 27 high school graduates? Round the answer to four decimal places. The standard deviation of the number who enroll in college in a sample of 27 high school graduates is
Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850, with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is more than the cutoff of 720. She finds that a random sample of 40 people had a mean FICO score of 760 with a standard deviation of 95. Can the economist conclude that the mean FICO score is greater than 720? Use the a = 0.05 level of significance and the P-value State the appropriate null and alternate hypotheses. Compute the value of the test statistic. Round the answer to at least three decimal places. Input the correct interval for the P-value. Determine whether to reject H0 State a conclusion.

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