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**YOU ARE REQUIRED TO SHOW WORK FOR THIS QUESTION TO RECEIVE CREDIT!** The distribution of chemistry exam scores is normally distributed, with a mean of 71 and a standard deviation of 6.  (Round to 3 decimal places as needed)   a. What is the Z-score for an exam score of 78? [a] b. Find the probability that a randomly selected exam score is less than 78. [b] c. Above what exam score will 30% of scores lie? [c]

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**YOU ARE REQUIRED TO SHOW WORK FOR THIS QUESTION TO RECEIVE CREDIT!** A city mayor claims that more than 60% of residents support building a new public park. A random sample of 250 residents found that 158 support the new park. Use a 5% level of significance to test the mayor’s claim. (Round to 3 decimal places as needed)   a. Calculate the value of the test statistic [a] b. Calculate the p-value [b]

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**YOU ARE REQUIRED TO SHOW WORK FOR THIS QUESTION TO RECEIVE CREDIT!** The weekly number of cups of coffee drank by all employees at a small company is as follows: 22   16   12   0   7   15    12   3 (Round to three decimal places as needed)   a. Calculate the mean [a] b. Calculate the appropriate standard deviation [b] c. Calculate the five-number summary (provide values from least to greatest) [c], [d], [e], [f], [g]

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**YOU ARE REQUIRED TO SHOW WORK FOR THIS QUESTION TO RECEIVE CREDIT!** A school counselor is interested in the proportion of all students who participate in at least one extracurricular activity. The counselor randomly selects 180 students and finds that 104 of them participate in at least one extracurricular activity. (Round to 3 decimal places as needed)   a. What is the point estimate for the proportion of all students who participate in at least one extracurricular activity? [a] b. Construct a 90% confidence interval for the proportion of all students who participate in at least one extracurricular activity: Confidence interval (make sure you put the smaller value first): –> ([b], [c])