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4/√36
4/√36

... −Z α=−Z 0.01=−2.33 This is a left-tailed test, so critical value is : The rejection region is Z <−2.33 Accept H0 since −1.44>−2.33 step 5. based on the sample data, there is sufficient evidence to conclude that all students will buy 7.5 CDs or more. 11. The breaking strengths of cables produced by a ...
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... For the 1936 presidential election, Literary Digest conducted a poll to determine the winner. Over 10 million questionnaires were sent to those who owned automobiles and/or telephones. Over 2.4 million questionnaires were returned and Literary Digest predicted that Alf Landon would defeat Franklin D ...
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... too rapidly. As a result block size becomes large and it is not possible to maintain homogeneity with in the blocks. This may result in large intrablock variances and hence large coefficient of variation. • To avoid that we use the concept of Confounding but again the generation of designs may be a ...
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... Example: Assume a bank has a large number of personal savings accounts. The mean amount in the accounts is $5,000 and the standard deviation is $1,000. For the sake of argument, let's call someone wealthy if they have more than $6,000 in their account. Then there is about a 16% chance that someone ...
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... which are "centered" at different locations along the horizontal axis. In the figure on the left just below, the two distributions of values have what appear to be identical or nearly identical shapes, but the location around which their values seem most tightly clustered are different. The data set ...
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... (Answer for b) – We will need to calculate a z-score for a sample mean of 42, NOT A RAW SCORE OF 42. That means that instead of using the distribution of population scores, we need to use the sampling distribution. Let’s sketch it out using the same mean as for the distribution of population scores, ...
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... 27. We say that the design of a study is biased if which of the following is true? (a) There is very large sample (b) Random placebos have been used (c) Certain outcomes are systematically favored (d) The correlation is greater than 1 or less than –1 (e) None of the above. The answer is ____________ ...
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... You must be careful about what you say about confidence intervals. Remember that a confidence interval is an ESTIMATE for the UNKNOWN parameter mu, which is the mean score of all students who took the test. We are trying to estimate mu by selecting a sample. Our sample yields an x-bar of 59.2. This ...
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Hypothesis Tests about the Mean and Proportion
Hypothesis Tests about the Mean and Proportion

< 1 ... 98 99 100 101 102 103 104 105 106 ... 285 >

Misuse of statistics

Statistics are supposed to make something easier to understand but when used in a misleading fashion can trick the casual observer into believing something other than what the data shows. That is, a misuse of statistics occurs when a statistical argument asserts a falsehood. In some cases, the misuse may be accidental. In others, it is purposeful and for the gain of the perpetrator. When the statistical reason involved is false or misapplied, this constitutes a statistical fallacy.The false statistics trap can be quite damaging to the quest for knowledge. For example, in medical science, correcting a falsehood may take decades and cost lives.Misuses can be easy to fall into. Professional scientists, even mathematicians and professional statisticians, can be fooled by even some simple methods, even if they are careful to check everything. Scientists have been known to fool themselves with statistics due to lack of knowledge of probability theory and lack of standardization of their tests.
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