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Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the afternoon shift than on the day shift. A sample of 54 day-shift workers showed that the mean number of units produced was 345, with a standard deviation of 21. A sample of 60 afternoon-shift workers showed that the mean number of units produced was 351, with a standard deviation of 28 units. At the .05 significance level, is the number of units produced on the afternoon shift larger?
Two boats, the Prada (Italy) and the Oracle (U.S.A.), are competing for a spot in the upcoming America's Cup race. They race over a part of the course several times. Below are the sample times in minutes. At the .05 significance level, can we conclude that there is a difference in their mean times?
Boat Times (minutes)
Prada (Italy) 12.9 12.5 11.0 13.3 11.2 11.4 11.6 12.3 14.2 11.3
Oracle (U.S.A) 14.1 14.1 14.2 17.4 15.8 16.7 16.1 13.3 13.4 13.6 10.8 0.19
A random sample of 85 group leaders, supervisors, and similar personnel at General Motors revealed that, on the average, they spent 6.5 years on the job before being promoted.
The researcher also gathers data on age and major to see if there is any connection between these varibales and frequency of sexual harassment.
X has a normal distribution with a mean of 80.0 and a standard deviation of 3.5. Find the following probabilities.
What is the appropriate procedure to test for a significant in different means between the 2 age groups. What is the p-value corresponding to your this answer and compute a 95% CI for the difference in means between the two groups.
It is a striking fact that the first digits of numbers in legitimate records often follow a distribution known as Benford's Law, shown below.
Compute lower and upper quartiles of log10-balances? Determine 95% range of the balances in $s? Express in English what the two boundaries mean.
Determine the upper control limit (UCL) and lower control limit (LCL) for an X-Bar chart if six samples of subgroup size 5 (n=5) were collected, and the mean of the sample averages is 4.7 and mean of the sample ranges is 0.35.
Temperature in certain city for the month of June follows a uniform distribution over the interval 61° F to 91° F. Find the temperature which 90% of the June days exceeds?
Whole Foods needs at least 1,000 units of beets. The Ames supplier can supply at least 400 units and the Zearing supplier can supply no more than 900 units. Develop constraints for these conditions.
It is believed that population standard deviation is 15 days. If test is conducted using a 0.05 level of significance, what conclusion must be reached?
A group of day to day workers can work either 0 hours, eight hours or 12 hours at a pay rate of $9.75 per hour. (The 12 hour day pays regular time for the first eight hours and double time for the remaining four hours.
In optimal solution, determinethe critical path?
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