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"Mattel Corporation produces a remote-controlled car that requires three AA batteries. The mean life of these batteries in this product is 34 hours. The distribution of the battery lives closely follows the normal probability distribution with a standard deviation of 5.5 hours. As a part of their testing program Sony tests samples of 25 batteries.
(a) What can you say about the shape of the distribution of sample mean?
(b) What is the standard error of the distribution of the sample mean?
(c) What proportion of the samples will have a mean useful life of more than 36 hours?
(d) What proportion of the sample will have a mean useful life greater than 33.5 hours?
(e) What proportion of the sample will have a mean useful life between 33.5 and 36 hours?
If you want to be 95% confidence of estmating the population mean to within a sampling error of +-4 and the standard deviation is assumed to be 10, what sample size is required?
In a series of tests, the piece was let operate till failure, repaired immediately, and let operate till next failure and so on for 3 months. The total number failures observed were 3.
The random variable x, which is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number..
You are the quality control manager at Mars, Inc and you want to prove the company's claim that 10% of all M & M candies are blue. Is it possible to prove that claim using methods of hypothesis testing? Why or Why not?
Is the transportation model the example of decision making under certainty or decision making under uncertainty? Provide the real-world example illustrtating why it is certainty or uncertainty.
What is the importance of the null hypothesis? Why has it been the backbone of mainstream hypothesis testing for decades? What are its limitations?
What type of graph would you use to represent the data and why? Focus on finding relevant, personally meaningful material to work with for these students.
If we decrease the level of significance a (alpha) from 0.05 to 0.01, that means we are: More willing to accept a type II error;
Find the z-score for each student and indicate which one has a better relative position. An Art Major earned a grade of 46 on an exam with = 50 and s = 5.
What is the probability that between 30 and 40 of the delinquents will commit another crime?
Computing the mean, standard deviation values for the given data - Describe how statistics is being misused in this situation
The following table describes the estimated green power sales by renewable energy in 2008: Develop a bar chart, pie chart, and Pareto Chart.
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