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The file Baseball Players_2015.xlsx, sheet named Baseball Players, contains salary data on all Major League Baseball players for year 2015. Is the average salary for pitcher team Washington Nationals higher than the average for all pitchers?    Note: for datafile, see question 1.

A survey conducted for the Northwestern National Life Insurance Company revealed that 70% of American workers say job stress caused frequent health problems. Suppose a random sample of 25 American workers is selected. Based on the relevant binomial distribution, answer the following questions about X, the number of American workers who say job stress caused frequent health problems:                                   What is the probability that X is no more than 15? Round your answer to 3 decimal places. For example, if the answer is 0.52443, enter 0.524

The employee benefits manager of a large public university would like to estimate the proportion of full-time employees who prefer adopting the first (plan A) of three available health care plans in the next annual enrollment period. A random sample of the university’s employees and their tentative health care preferences are given in the file Healthcare.xlsx below. Calculate a 90% confidence interval for the proportion of all the university’s employees who favor plan A. What are the values of lower limit and upper limit? Round your answer to 3 decimal places. Healthcare.xlsx

Ship collisions in the Houston Ship Channel are rare. Suppose the number of collisions are Poisson distributed, with a mean of 1.4 collisions every four months. What is the probability of having two or less collision over a four-month period? Round you answer to 3 decimal places. For example, if the answer is 0.52443, enter 0.524 below.

Suppose that a marketing research firm sends questionnaires to two different companies. Based on historical evidence, the marketing research firm believes that each company, independently of the other, will return the questionnaire with probability 0.40. What is the probability that both questionnaires are returned? Round your answer to 2 decimal places. 

Suppose that a marketing research firm sends questionnaires to two different companies. Based on historical evidence, the marketing research firm believes that each company, independently of the other, will return the questionnaire with probability 0.50. What is the probability that both questionnaires are returned? Round your answer to 2 decimal places. 

The file Baseball Players_2015.xlsx, sheet named Baseball Players, contains salary data on all Major League Baseball players for year 2015. Match the minimum and maximum Salary.   Note: for datafile, see question 1.

The file Baseball Players_2015.xlsx, sheet named Baseball Players, contains salary data on all Major League Baseball players for year 2015. What is average salary for the position Pitcher? Round your answer to whole number. [Hint: you may consider creating Table to filter the data]   Note: for datafile, see question 1.

Assume the heights in a male population are normally distributed with mean 70.3 inches and standard deviation 4.1 inches. What is the probability that a typical male from this population is between 5 feet 8 inches (i.e. 68 inches) and 6 feet (i.e. 72 inches) tall? Round your answer to 3 decimal places. For example, if the answer is 0.52443, enter 0.524 below. 

The file Baseball Players_2015.xlsx, sheet named Baseball Players, contains salary data on all Major League Baseball players for year 2015. Based on your answer for question 6, which measures, mean or median, should be used as a measure of central tendency? Why?   Note: for datafile, see question 1.