Please note that this question consists of five parts. You may use MINITAB to find a final answer. However you MUST show all the mathematical work to get to the final answer. Just giving the answer without adequate work/explanation may result in zero for the question.  In a particular region, the daily rainfall in millimeters in summer is known to follow a normal distribution with a mean of 14 mm and a standard deviation of 4.2 mm. What is the probability that on a randomly selected summer day, the rainfall is more than 17 mm? What is the probability that the rainfall on a randomly selected summer day is between 10 mm and 19 mm? What is the maximum amount of rainfall for the driest 2% of summer days? Rainfall is recorded for a random sample of 9 summer days. What is the distribution, mean and standard deviation of the sampling distribution of the sample mean of rainfall for these 9 days? What is the probability that the sample mean of rainfall for these 9 days is more than 17 mm?

Select the correct answer from the dropdown menu. 

An analyst is studying the relationship between hotel room price and number of local events. The response variable is:

Hotel manager plans to increase each room price/per night by $25 in his hotel during a city event. Then the mean of room price/per night at his hotel during the event , and the standard deviation of room price/per night at his hotel during the event .  

Which is true for a right-skewed random variable? 

Suppose a sample of size n is randomly selected from some population.  For large n the sampling distribution of the sample mean is approximately normal. This is a statement. The mean of the sampling distribution of the sample mean as n increases. The variance of the sampling distribution of the sample mean as n increases.

Classify as chemical or physical a) soggy bread b) exploding hydrogen

Which sentence does NOT describe linearization?

List the job title and description of role for 2 key stakeholders of an informatics project that involves the implementation of an inpatient, EHR software upgrade for a three-hospital community health system. 

In the diagram below, which structure releases parathyroid hormone (PTH)?