Suppose X~ N(97, 2.6262). Use this distribution to help you answer the following question: What is P(95.646 ≤ x ≤ 98.354)? Where relevant, round your answer to three decimal places. Hint: To help you answer this question, you may wish to draw a picture of the distribution and the probability you need to find. To see some examples, see the section called "Using the distribution of X to answer questions". Answer:

The average final exam score for the statistics course is 82%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 90, 78, 82, 59, 67, 71, 64, 78, 67, 57, 79, 86, 66, 56 What can be concluded at the the αα = 0.05 level of significance level of significance?  For this study, we should use    (t-test for a population mean,  z-test for a population proportion) The null and alternative hypotheses would be:       H0: (symbol) (symbol) ____              H1: (symbol) (symbol) ____               The test statistic (?,t,z) = ____  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is (symbol)  αα Based on this, we should  (accept, reject, fail to reject) the null hypothesis.…

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Explain how 7.5 is the answer. Please answer correct calculation Don't answer by pen paper

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This is a 3 part question please help!