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A single serving of potato chips is considered to be about 42 grams (about 1.5 ounces). Single-serving bags are filled by a machine but because the chips vary in size and weight, the total weight in a bag varies according to a normal distribution. Suppose the machine is set so that the mean weight is 45 grams. A small proportion of the bags end up weighing less than 42 grams due to the random distribution. The manufacturer wants to REDUCE the proportion that weighs less than 42 grams. Assume the mean must stay at 45 grams, but the company can alter the standard deviation. Use a sketch to decide how the company can proceed if they want to reduce this proportion by changing the standard deviation.
They hope to use a sample size such that, with probability 0.95, the error will not exceed 0.04. What sample size will ensure this, regardless of what sample proportion value occurs when they gather the sample?
Describe the error in the conclusion. Given: There is a linear correlation between the number of cigarettes smoked and the pulse rate. As the number of cigarettes increases the pulse rate increases. Conclusion: Cigarettes cause the pulse rate to i..
Assume that the mean parameter θ for the RV L is unknown. To estimate it, a random sample of n = 10 light bulbs is selected, and the lifetime of each light bulb is measured. Let X denote the number of those 10 sampled light bulbs that burn longer ..
The time until a component is taken out of service is uniformly distributed on 0 to 8 hours. Two such independent components are put in series, and the whole system goes down when one of the components goes down.
The standard deviation for the costs of all doctors visits is $35.15, estimate with 95% confidence the average cost of a doctors visit for all the patients of this medical clinic.
Let be the average of the pay you receive for the first and second week. Find the sampling distribution
What additional information is obtained from measurements on an ordinal scale compared to measurements on a nominal scale?
We wish to estimate the population proportion. We want to be 95 percent confident of our results and we want the estimate to be with .01 of the population parameter. No estimate of the population proportion is available. What value should we use f..
Find a 95% confidence interval for the mean daily caloric intake. Interpret this interval.
Explain the importance of random sampling. What problems/limitations could prevent a truly random sampling and how can they be prevented?
Suppose you conduct survey asking people if they support something or if they like some product or if they watch some TV-show.
The distribution of lifetimes for a certain type of light bulb is normally distributed with a mean of 1000 hours and a standard deviation of 100 hours. Find the 33rd percentile of the distribution of lifetimes.
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