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A production process manufactures items with weights that are normally distributed with mean 16 pounds and standard deviation 0.15 pound. An item is considered to be defective if its weight is less than 15.8 pounds or greater than 16.2 pounds. Suppose that these items are currently produced in batches of 200 units. [Hint: First, use the normal distribution to find the probability of obtaining a non-defective item, then use an appropriate binomial distribution to answer parts (a) and (b).]
(a) Find the probability that at most 17.5% of the items in a given batch will be defective.
(b) Find the probability that at least 75% of the items in a given batch will be acceptable.
Is there evidence to suggest a difference in the mean waiting times at the four body shops?
The singer has the following variety of songs, in no particular order: 7 relationship songs, 6 songs about people, 4 reflective songs, and 4 songs about places.
In ANOVA, which of the following is not affected by whether or not the population means are equal?
Three companies are attempting to sell you a pollution reduction additive to your chemical waste. Given limited resources, which prevents you from developing the additive yourself, you get each company to give you a sample to the product.
Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. What is the value of the sample test statistic? (Round your answer to two decimal places.)
Which is the probability of that the median of the sample or average medians be between 320 and 350 minutes?
A power of 0.2203 can be interpreted to mean there is a 22.03% chance of selecting a sample whose sample mean is larger than 166.3 lb.
Below are the sample times in minutes. At the .05 significance level, can we conclude that there is a difference in their mean times?
The world record time (in minutes) in the marathon is plotted versus the year in which the record was set for men and women separately. The plotting symbol o is used for men and x for women. The data include only records set between 1908 and 1988.
First, describe in your own words (no direct quotes, please) what a dummy variable is and its purpose in regression analysis. Secondly, provide an example of where you might use a dummy variable from your own professional experience.
Two mating parts have critical dimensions x1 and x2 as shown below. Assume that x1 and x2 are normally distributed with means 1 and mean2 and standard deviations s1 = 0.400 and s2 = 0.300.
Write a paragraph summarizing the results of the analysis and determine whether the calculated values of chi-square are statistically significant
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