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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]