**Valley College and Elm College Faculty Age Analysis**Valley College and Elm College are two local colleges. For each college, the distribution of the ages of faculty members is clearly bell-shaped. The ages of faculty members at Valley College have a **population mean** of 51 years and a **standard deviation** of 6.3 years. The ages of faculty members at Elm College have a **population mean** of 56 years and a **standard deviation** of 4.2 years.**Problem Statement:**Maria is 67 years old and a faculty member at Valley College. Salma is 40 years old and a faculty member at Elm College.**Tasks:**(a) **Find the z-scores** of Maria's age as a faculty member at Valley College and Salma’s age as a faculty member at Elm College. Round your answers to two decimal places.- **z-score of Maria's age:**- **z-score of Salma's age:**(b) **Relative to her population, who is the older faculty member?**Choose the best answer based on the z-scores of the two ages.- [ ] Maria- [ ] Salma- [ ] It is unclear who is the older faculty member relative to her population**Explanation:**The z-score is a statistical measure that describes a value's relation to the mean of a group of values. It is measured in terms of standard deviations from the mean. A z-score can tell you how many standard deviations away from the mean a particular value is, which helps in comparing data points from different data sets with different means and standard deviations.

a. The ages of faculty members at Valley college have a population mean of 51 years and a standard…

Answered: Valley College and Elm College are two…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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On a nationwide math test, the mean was 72 and the standard deviation was 7. If Roberto scored 90, what was his z-score?
In a normally distributed data set of how long customers stay in your store, the mean is 43.5 minutes and the standard deviation is 3.9 minutes. Within what range would you expect 95% of your customers to stay in your store?
The weekly mean income of a group of executives is $1,000 and the standard deviation of this group is $100. The distribution is normal. What percent of the executives have an income of $950 or less?
The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances that someone is earning more than $20 an hour?
a set of piano prices are normally distributed with a mean of 3000 dollars and a standard deviation of 200 dollars. An electric piano has a price of 2576 dollars. What proportion of piano prices are higher that the price of the electric piano?
The manager of a fast-food restaurant records each day for a year the amount of money received from sales of food that day. Using software, he finds a bell-shaped histogram with a mean of $1181 and a standard deviation of $201. Today the sales equaled $2041. Is this an unusually good day? Answer by providing statistical justification. Determine whether the total sales amount is unusual. Choose the correct answer below. A. No, this value is not unusual. A z-score outside of the range from −3 to 3 is not unusual. B. No, this value is not unusual. A z-score between −3 and 3 is not unusual. C. Yes, this value is unusual. A z-score between −3 and 3 is unusual. D. Yes, this value is unusual. A z-score outside of the range from −3 to 3 is unusual. Click to select your answer and then click Check Answer.
The mean annual wage per employee for each state and the District of Columbia for the year 2009 is $42,961 and the standard deviation is $7,884.75. The mean and standard deviation for Kentucky is $37,996 and $6,280.67. Using the data for all states including D.C., would a wage of $85,000 be unusual? Source: U.S. Bureau of Labor Statistics
Give the TI commands to find the mean, median, and standard deviation and compare to the original post when done by hand. Mean = 14.1 + 6.4 + 9.6 + 21.2 + 16.8 + 2.2 + 6.0 = 76.3 / 7 = 10.9in. Median = 2.2, 6.0, 6.4, 9.6, 14.1, 16.8, 21.2 = 9.6in. How can I find the mean and median on TI caculator?
The average McDonald's restaurant generates $3.1 million in sales each year with a standard deviation of 0.4. Micah wants to know if the average sales generated by McDonald's restaurants in Maryland is different than the worldwide average. He surveys 19 restaurants in Maryland and finds the following data (in millions of dollars):2.8, 3.2, 3.8, 4.2, 3.5, 3.2, 3.6, 3.2, 2.7, 3.1, 2.5, 3.2, 3.7, 3.5, 3.9, 3.9, 2.5, 2.9, 2.8Perform a hypothesis test using a 9% level of significance.Step 1: State the null and alternative hypotheses.H0:H0: Ha:Ha: (So we will be performing a test.)Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem.By the Central Limit Theorem, we know that the point estimates are with distribution mean and distribution standard deviation .Step 3: Find the pp-value of the point estimate.P(P( )=P()=P( )=)=pp-value==Step 4: Make a Conclusion…
A student scores 74 on a geography test and 264 on a mathematics test. The geography test has a mean of 80 and a standard deviation of 5. The mathematics test has a mean of 300 and a standard deviation of 24. If the data for both tests are normally distributed, on which test did the student score better relative to the other students in each class? OA. The student scored better on the mathematics test. OB. The student scored better on the geography test. OC. The student scored the same on both tests.
Find the mean of the following data: 0, 5, 30, 25, 16, 18, 19, 26, 0, 20, 28 A. 0 B. 18 C. 19 D. 17
Most college-bound students take either the SAT(Scholastic Assessment Test) or the ACT (which originally stood for American college testing). Scores on both the ACT and the SAT are approximately normally distributed. ACT scores have a mean of about 21 with a standard deviation of about 5.SAT scores have a mean of about 508 with a standard deviation of about 110. Nicole takes the ACT and gets a score of 24. Luis takes the SAT. what score would Luis have to have on the SAT to have the same standardized score(z-score) as Nicole's standardized score on the ACT?

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