Errors in relation to a control chart
Discuss type I and type II errors in relation to a control chart. What practical implication in terms of process operation do these two types of error have?
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If you had used the critical value method, what would the two critical values be? How do the sample results compare with the critical values?
She randomly samples 67 CFOs and finds that 40 of them get their money news from newspapers. Does the test show enough evidence to reject the findings of Robert Half International? Use α = .05
the crack length [in micrometers (µm)] of a randomly selected crack is normally distributed with an average length of 71 and a variance of 6.25. (a) What percantage of cracks are over 74 µm long?
Three cards are randomly selected, without replacement, from a standard deck of 52 playing cards. Compute the conditional probability that the first card selected is a club given that the second and third cards are both clubs.
A standard deck of 52 cards is thoroughly shuffled and cut. What is the chance of turning up either an Ace or a Heart?
A random sample of size 20 is taken, resulting in a sample mean of 16.45 and a sample standard deviation of 3.59. Assume x is normally distributed and use this information and α = .05 to test the following hypotheses.
Assume the standard deviation of 14 minutes. Cosider a group of 12 people. What is the probability that the mean minutes of work is at least 512?
Explain the purpose of a null hypothesis. Why are both a research/alternative hypothesis and a null hypothesis necessary in statistics?
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