Students at a major university are complaining of a serious housing crunch. They complain that many students have to commute too far to school because thereis not enough housing near campus. University officials respond with the following information: the mean distance commuted to school by students is 17.4miles, and the standard deviation of the distance commuted is 3.5 miles.Assuming that the university officials' information is correct, complete the following statements about the distribution of commute distances for students at thisuniversity.8(a) According to Chebyshev's theorem, at least9commute distances lie between miles andanswer to 1 decimal place.)(about 89%) of themiles. (Round your(b) According to Chebyshev's theorem, at least (Choose one) of thecommute distances lie between 10.4 miles and 24.4 miles.X?圖 □ □Aa

From the provided information, Mean (µ) = 17.4 Standard deviation (σ) = 3.5 X~N(17.4, 3.5)

Answered: Students at a major university are…

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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Español 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. Maria is 67 years old and a faculty member at Valley College. Salma is 40 years old and a faculty member at Elm College. (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. O Maria O Salma O It is unclear who is the older faculty member relative to her population Explanation 2022 Mc X Terms of Use | Privacy Center |…
make up 2 data sets, each with 5 values, that have the same mean and median, but different standard deviations.
Sarah and her fiancé are planning for their wedding. Distribution of the number of guests coming to the party is normal with the mean 100 and the standard deviation 10. They need to determine how many guests to book for food from a caterer. The caterer makes the following charges: $50 for each guest that is booked in advance; $90 for each guest who is not booked in advance but shows up on the wedding day. The caterer does not offer any refund even if some booked guests may not show up. Questions: What is the optimal number of guests to book in advance? How much Sarah can save by booking the optimal quantity from a) in advance? What is the expected number of guests that will come to their wedding? If Sarah and her fiancé book 90 guests in advance with the caterer, what is the probability of stock out? If Sarah and her fiancé book 100 guests in advance with the caterer, what is the expected number of meals to be wasted?
It is widely claimed that a histogram is skewed to the left when the median is greater than the mean and to the right when the median is less than the mean. But there are exceptions to this claim. Demonstrate this exception by creating a data set that has at least 15 samples and plot the histogram.
please answer 4 and 5
.
Suppose that on a certain section of I-95, with a posted speed limit of 65 miles per hour, the speeds of all vehicles have a bell-shaped distribution with a mean of 72 mph and a standard deviation of 3 mph. Find the percentage of vehicles with the following speeds on this section of I-95: greater than 75 mph.
3. The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour. a. What percent of passenger vehicles travel slower than 80 miles/hour? What percent of passenger vehicles travel between 60 and 80 miles/hour? B. How fast do the fastest 5% of passenger vehicles travel? C. The speed limit on this stretch of the I-5 is 70 miles/hour. Approximate what percentage of the passenger vehicles travel above the speed limit on this stretch of the I-5.
An economist would like to estimate the mean amount of money that a family spends towithin $35. If the amount spent by a family is considered to be normally distributed withstandard deviation $261, what sample size would be necessary to be 91% confident?
Please answer the following: You can use the graphing calculator-just explain how to input into calculator. A tire manufacturer beleives that the tread life of its snow tires can be described by a normal model with a mean of 32,000 miles and standard deviation of 2,500 miles. a) If you buy a set of these tires, would it be reasonable for you to hope that they last 40,000 miles? Explain. b) What proportion of these tires can be expected to last less than 30,000 miles? c) What proportion of these tires can be expected to last between 30,000 and 35,000 miles? d) Estimate the IQR of the tread lives. e) In planning a marketing strategy, a local tire dealer wants to offer a refund to any customer whose tires fail to last a certain number of miles. However, the dealer does not want to take too big a risk. If the dealer is willing to give refunds to no more than 1 of every 25 customers, for what mileage can he be guaranteed these tires to last?
Imagine that for those who meditate daily, the number of minutes in meditation has mean 35 and standard deviation 10. In a group of 200 such persons, how many are expected to meditate more than 43 minutes per day? Click the icon to view the table of z-scores. Of the 200 persons, approximately will meditate more than 43 minutes per day. (Round to the nearest whole number as needed.)
Willow Road and Arroyo Seco are schools in different states. The heights of students at Willow Road have a population mean of 50.4 inches and a standard deviation of 6 inches. The heights of students at Arroyo Seco have a population mean of 54.3 inches with a standard deviation of 2.3 inches. For each school, the distribution of the heights of students is clearly bell-shaped.Elsa is a student at Willow Road and is 67 inches tall. Jane is a student at Arroyo Seco and is 59 inches tall.

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