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Suppose a product must go through a sequential assembly line made up of ?ve operations. The time it takes to complete each operation is normally distributed with a mean of 180 seconds and standard deviation of 5 seconds.
a) Build a spreadsheet model for this problem that computes the time this sequential assembly line would take in making a product. Attach an Excel file with a simulation model implemented by Analytic Solver Platform. Use the following simulation options:
• Trials per simulation: 1,000 simulation• Simulation to Run: 1• Simulation random seed: 2014• Sampling method: Monte Carlo• Radom Number Streams: Single Stream for all Uncertain Variables• Value to Display: 1Correlations: Check Use Correlations• Random Number generator: CMRG
b) What is the probability that all five operations will be completed in 900 seconds?
c) What is the minimum assembly time that 98% of assemblies can be completed in time?
In comparing two variances below, determine test value and what are degrees of freedom that must be used?
Verify value of t for the independent Variable, using formula. (That is, using formula in the Formula Sheet compute the t statistic , given data provided in the print out).
Determine the distributions given below represent a probability distribution. Justify your answer.
Assume a population standard deviation of 450-kilowatt hours. Determine the standard error of the mean.
What sample size would be needed to obtain an error of +/- 10 square millimeters with 99% confidence?
If 50 cups of coffee were measured, what is the probability that: The sample mean per cup is less than 7.8 ounces?
Assume that the following four examines were tested as part of a large group that had a normally curved distribution.
Do the data indicate a significant difference between the frequency distributions for male and females? Test at the .05 level of significance and describe the difference.
Similar survey of student population 10 years ago found that coffee shop was favoured by 20% of students, and pizza and hamburger were each preferred by 40% of the students. Determine the expected frequencies for chi-square test.
If the mean times for both George and Julia are actually the same, what is the probability that George will be let go?
The sales manager had predicted, before the business started, that year 1's sales would be 410 air conditioners. Using exponential smoothing with a weight of alpha = 0.30, develop forecasts for years 2 through 6.
Develop a 99 percent confidence interval for the population proportion.
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