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A company purchases shiments of machine components and uses this acceptance sampling plan: randomly select and test 23 components and accept the whole batch if there are fewer than 3 defectives. if a particular shipment of thousands of components actually has a 6 percent rate of defects, what is the probability that this whole shipment will be accepted?
Consider a simple random sample of n=116 people. Denote by X the number of people in the sample that have the disease. Calculate the following probabilites. P(X=23)=?
In a class, the grade of a student on an exam is an RV with expectation 60 and variance 16. If the class average is between 55 and 65, with a probability greater than or equal to 0.9, determine the number of students that have taken the exam.
You run a two tail t-test. The critical value for this test at the .05 level is a t of 7.82. What value must the obtained t-test statistic be in order to be considered significant at the .05 level?
Using variables below, (1) mention all research questions that would be replied with a Two Way ANOVA test, (2) make null hypotheses for these questions.
Given a p-cap of 0.16, n = 100, construct a Confidence Interval of 95%. What does the Range created mean? What happends if n changes to 10? What does the new Range mean?
Three colors have been proposed for a product: blue, green, yellow. The null hypothesis for a goodness-of-fit test would be.
Using the .05 significance level, can we conclude that there is a positive association between the two variables?
An engine system consists of three main components in a series, all having the same reliability.
Simplification by Factorization and finding domain-What happens when x is 6 or 3. What is the domain if x can only be 6 or 3?
Suppose a small bicycle manufacturer makes cheap bikes that sell for 180$ each. The total cost of producing x bikes (in $) is given by c(x)=6000+240x-0.8x^2, where x is up to 200 bikes.
Probability values based on normal distribution - old exit exam followed a normal distribution
At the 0.05 level of significance, is there evidence that the average purchase is different from 10 liters? At the 0.05 level of significance, is there evidence that less than 20% of the motorists purchase super unleaded gasoline?
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