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STATS Homework Assignment 5

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Question;Homework Assignment #5All calculations should be done in Word using Equation Editor and all charts and graphs should be done in Excel.A manufacturer has received complaints that aging production equipment is forcing workers to work overtime in order to meet production quotas. Historically, the average hours worked per week is 40 with a standard deviation of 7.5 hours. If a sample of 25 workers found that the average work week is 48 hours, conduct a hypothesis test to determine if there is significant evidence that the length of the average work week has increased? Use alpha=.05 (State the Hypothesis Scenario, calculate the test statistics or p - value and state the conclusion)A coin that is balanced should come up heads half the time in the long run. A coin is tossed 4040 times and gives 2085 heads. Is the coin biased? Use Alpha =.05. (State the Hypothesis Scenario, calculate the test statistics or p - value and state the conclusion)What type of Error did you commit in question 2)? ExplainAn agricultural experiment station was interested in comparing the yields for two new varieties of corn. Because the investigators thought there might be a great deal of variability in yield from one farm to another, each was randomly assigned to a different 1-scre plot on each of the seven farms. The difference between Variety A and Variety B is listed below.Farm1234567Difference6.74.55.7-.74.85.44.6Variety A ? Variety BDoes Variety A produce a higher yield than Variety B? Use alpha=.10 (State the Hypothesis Scenario, calculate the test statistics or p - value and state the conclusion)According to a recent study, when shopping online for luxury goods, men spend a mean of $2,401, whereas women spend a mean of $1,527. Suppose that the study was based on a sample of 600 men and 700 females, and the standard deviation of the amount spent was $1,200 for men and $1,000 for women. Is the amount spent shopping online for luxury goods higher for men than for women? Use alpha =.05 (State the Hypothesis Scenario, calculate the test statistics or p - value and state the conclusion)Do people of different age groups differ in their response to e-mail messages? A survey by the Cent of the Digital Future of the University of Southern California reported that 70.7% of users over 70 years of age believe that e-mail messages should be answered quickly as compared to 53.6% of users 12 to 50 years old. Suppose that the survey was based on 1,000 users over 70 years of age and 1,000 users 12 to 50 years old. Is there evidence of a significant difference between the two age groups that believe that e-mail messages should be answered quickly? Use alpha =.01. (State the Hypothesis Scenario, calculate the test statistics or p - value and state the conclusion)

 

Paper#61948 | Written in 18-Jul-2015

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