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Q1) Company that produces electronic components knows that standard deviation of lifetimes of those components is 100 hours. Company wishes to estimate mean lifetimes of components with the error that will not exceed 20 hours.
How large sample size must be taken to be
a) 95% confident;
b) 99% confident, in their estimates?
Q2) Mean and standard deviation of random sample of 90 rivet heads produced by a company are 1.8451 mm and 0.0015 mm respectively. Determine a 99% confidence interval for mean diameter of all rivet heads manufactured by company. Also determine a 95% confidence interval for standard deviation of diameter of all rivet heads manufactured by company. Give your answers correct to four decimal places.
Write the null and alternative hypotheses you would use to test the following situation.
The number of passengers on the Carnival Sensation during one-week cruises in the Caribbean follows the normal distribution.
Utilizing the .05 level, do the results support the psychologists' theory. A psychologist theorized where people can hear better when they have just eaten a large meal.
An SRS of 100 of a certain popular model car in 1993 found that 20 had a certain minor defect in the brakes. An SRS of 400 of this model car in 1994 found that 50 had the minor defect in the brakes. Let p1 and p2 be the proportion of all cars of t..
Develop an appropriate forecast model for the given problem whereas the student population has remained constant during this period.
Clark Heter is an industrial engineer at Lyons Products. He would like to conclude 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 w..
Calculate the Measures of Center and Measures of Variation for the following data set representing the chest size of 20 bears in inches.
Describe the Linear programming problem with constraints. Which among the following is not acceptable as a constraint in a linear programming problem?
Formulate a linear programming model for this problem.
On the same chart, produce a graph showing the original probability mass function, and a line graph showing your selected continuous probability density function.
Construct an appropriate control chart and comment on the process.
You are considering adding a new food product to your store for resale. Explain how many units of the new product should be purchased for resale.
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