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#### Question1)Abel Alonzo, Director of Human Resources, is exploring the causes of employee absenteeism at Batesville Bottling during the last operating year (January 1, 1999 through December 31, 1999)

###### Statistics

Question1)Abel Alonzo, Director of Human Resources, is exploring the causes of employee absenteeism at Batesville Bottling during the last operating year (January 1, 1999 through December 31, 1999). He uses a random sample of 50 employees to examine the number of absences per week.  For this study the set of all employees who worked at Batesville Bottling during the last operating year is ________________.

 Question 2 which are used to classify or categorize the observations represent data measured at the nominal level. Question 3 company produces valves in various sizes and shapes. One particular valve plate is supposed to have a tensile strength of 5 pounds per millimeter (lbs/mm). The company tests a random sample of 40 such valve plates from a lot of 650 valve plates. The sample mean is a tensile strength of 5.0611 lbs/mm, and the population standard deviation is .2803 lbs/mm. Use α = .10 and test to determine whether the lot of valve plates has an average tensile strength of 5 lbs/mm.  The observed value o the test statistic is ________ Question 4 such that the 15% of observations in a standard normal distribution are greater than z.

Question 5

The CEO of a mail order business is reviewing the order filling operations at their two warehouses.  The goal is to have 100% of orders shipped within 24 hours.  In previous years, neither warehouse has achieved the goal, but the East Coast Warehouse has consistently outperformed the West Coast Warehouse.

To compare the current performance of the warehouses, they decide to conduct a hypothesis test at the 5% significance level.  They randomly select 200 orders from the West Coast Warehouse (population 1) and 400 orders from the East Coast Warehouse (population 2).

They found that 190 of the West Coast Orders were shipped within 24 hours, and the East Coast Warehouse shipped 365 orders within 24 hours.  What is the p-value for testing the hypothesis that the East Coast Warehouse continues to outperform the West Coast Warehouse ?

Question 6

The vice president of marketing brought to the attention of sales managers that most of the company's manufacturer representatives contacted clients and maintained client relationships in a disorganized, haphazard way. The sales managers brought the reps in for a three-day seminar and training session on how to use an organizer to schedule visits and recall pertinent information about each client more effectively. Sales reps were taught how to schedule visits most efficiently to maximize their efforts. Sales managers were given data on the number of site visits by sales reps on a randomly selected day both before and after the seminar as shown on the following data.  What is the margin of error for 90% confidence interval for the difference between visits before and after the training ?

Rep            Before  After

1. 2          4
2. 4          5
3. 1          3
4. 3          3
5. 4          3
6. 2          5
7. 2          6
8. 3          4
9. 1          5

Question 7

The batteries produced in a plant have a mean time to failure of 30 months, with a standard deviation of two months.  I select a simple random sample of 1600 ba1t toeurtie osf 1  produced in the plant.  I test each and record how long it takes for each battery to fail.  I then compute the average   of all the failure times.  The probability that the average failure time is greater than 29.9 is

 Question 8 Find the Z score for x=30 for a distribution N( 26, 3 )

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