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Find the probability for Normal distribution.
ACT scores of high school seniors. The scores of high school seniors on the ACT college entrance examination in 2003 had mean JL = 20.80 and standard deviation (J = 4.80. The distribution of scores is only roughly Normal.
(a) What is the approximate probability that a single student randomly chosen from all those taking the test scores 23 or higher?
(b) Now take an SRS of 25 students who took the test. What are the mean and standard deviation of the sample mean score x of these 25 students?
(c) What is the estimated probability that the mean score x of these students is 23 or higher?
(d) Which of the two Normal probability calculations in (a) and (c) is more accurate and Why?
When the p-value is used for hypothesis testing, the null hypothesis is rejected if
For all questions, clearly explain/show your answers. For the Analysis section, justify your answers with the appropriate graphs, statistics, equations, etc.
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The number of degrees of freedom for the appropriate chi-square distribution in a test of independence is:
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