ASSEMBLY-TIME STUDIES A time study was conducted by the production manager of Universal Instruments to determine how much time it took an assembly worker to complete a certain task during the assembly of its Orion tablet computers. Results of the study indicated that 20 % of the workers were able to complete the task in less than 3 min, 60 % of the workers were able to complete the task in 4 min or less, and 10 % of the workers required more than 5 min to complete the task. If an assembly-line worker is selected at random from this group, what is the probability that: a. He or she will be able to complete the task in 5 min or less? b. He or she will not be able to complete the task within 4 min? c. The time taken for the worker to complete the task will be between 3 and 4 min (inclusive)?
ASSEMBLY-TIME STUDIES A time study was conducted by the production manager of Universal Instruments to determine how much time it took an assembly worker to complete a certain task during the assembly of its Orion tablet computers. Results of the study indicated that 20 % of the workers were able to complete the task in less than 3 min, 60 % of the workers were able to complete the task in 4 min or less, and 10 % of the workers required more than 5 min to complete the task. If an assembly-line worker is selected at random from this group, what is the probability that: a. He or she will be able to complete the task in 5 min or less? b. He or she will not be able to complete the task within 4 min? c. The time taken for the worker to complete the task will be between 3 and 4 min (inclusive)?
Solution Summary: The author calculates the probability of a line worker selected at random will complete the task in 5mathrmmin or less.
ASSEMBLY-TIME STUDIES A time study was conducted by the production manager of Universal Instruments to determine how much time it took an assembly worker to complete a certain task during the assembly of its Orion tablet computers. Results of the study indicated that
20
%
of the workers were able to complete the task in less than 3 min,
60
%
of the workers were able to complete the task in 4 min or less, and
10
%
of the workers required more than 5 min to complete the task. If an assembly-line worker is selected at random from this group, what is the probability that:
a. He or she will be able to complete the task in 5 min or less?
b. He or she will not be able to complete the task within 4 min?
c. The time taken for the worker to complete the task will be between 3 and 4 min (inclusive)?
Sales personnel for Skillings Distributors submit weekly reports listing the customer contacts made during the week. A sample of 65 weekly reports showed a sample mean of 19.5 customer contacts per week. The sample standard deviation was 5.2. Provide 90% and 95% confidence intervals for the population mean number of weekly customer contacts for the sales personnel.
90% Confidence interval, to 2 decimals:
( , )
95% Confidence interval, to 2 decimals:
A simple random sample of 40 items resulted in a sample mean of 25. The population standard deviation is 5.
a. What is the standard error of the mean (to 2 decimals)?
b. At 95% confidence, what is the margin of error (to 2 decimals)?
mean trough level of the population to be 3.7 micrograms/mL. The researcher conducts a study among 93 newly diagnosed arthritis patients and finds the mean trough to be 4.1 micrograms/mL with a standard deviation of 2.4 micrograms/mL. The researcher wants to test at the 5% level of significance if the trough is different than previously reported or not. Z statistics will be used.
Complete Step 5 of hypothesis testing: Conclusion. State whether or not you would reject the null hypothesis and why. Also interpret what this means (i.e. is the mean trough different from 3.7 or no
Chapter 7 Solutions
WebAssign Printed Access Card for Tan's Finite Mathematics for the Managerial, Life, and Social Sciences, 12th Edition, Single-Term
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