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Prepare the hypotheses and identify the type of error.
Suppose you are the manager of a paint manufacturing factory. Your company has received complaints from customers that the containers hold less than the amount printed on them. On the other hand, corporate management is concerned that the containers hold more than the standard amount. You assign a statistician to verify the claims by the customers and the corporate management. A sample of containers was selected and the volume of paint in each container was measured. Assume that volume printed on each container is 1 gallon, how would you formulate the null and alternative hypotheses to test the customers\' claim? That of the corporate management? Both customers and corporate management? As a manager, what reasonable criteria will you use to set a value for the level of importance to be used in the test? Presume you arrive at the decision that there is not enough evidence to reject the null hypothesis, could you have made a mistake? What type of error would result in that case? Respond to at least two of your classmate's postings.
Obtain a test statistic and p -value assuming equal variances. Interpret these results.
The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages.
In exercise identify (a) sample and (b) population. Also, find whether sample is likely to be representative of population.
Find out the probability distribution of blood types by gender in the group of 1000 individuals.The table below gives the distribution of blood types by gender in a group of 1000 individuals.
What is the probability that a cereal would be high calorie, given that it is high fiber? In other words, what is P (high calorie, given high fiber)?
The data in the scatterplot below are an individual's weight and the time it takes (in seconds) on a treadmill to raise his or her pulse rate to 140 beats per minute. The o's correspond to females and the +'s to males.
A coin is flipped e times and heads (h) or tails (t) are recorded:
Calculated test statistic, decision about the null hypothesis interpretation of results, and a list of references consulted.
Suppose U is a Unit (25, 50) random variable.Find the CDF of U and sketch a graph.
Select a random variable to represent the category. Produce a probability mass function for that variable, and use it to compute the mean, the median and the variance of the data in the data set. Show the probability mass function, both in tabular..
Solve different inventory control problems using an appropriate OR method.
Now compute the standard deviation for this distribution.
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