I do not how to do it "PhysicalFun" is a physical center which opens 24 hours per day. Each member of "PhysicalFun" has anaccess card. Members would be charged in a weekly basic (Sunday 12:00a.m. to Saturday 11: 59 p.m.)according to the accumulated number of hours of facilities used within a week. The weekly basic charge is$150 with an additional charge of $30 per hour. According to the company record, the number of hours amember spends in "PhysicalFun" in a week is normally distributed with mean 15 hours and standard deviation2.8 hours.(a) What are the average and standard deviation of weekly charge of a member?(b) Suppose the middle 85% of weekly charge of a member is denoted by $(L1, L2). Find the values of L1and L2.(c) The senior management suggests fixing the weekly charge per member at $700. Assume the numberof hours a member spends in "Physical Fun" would not be changed due to the change of the weekly chargecalculation method. What proportion of members would pay more money than the original system? Question 2The Body Mass Index (BMI) is a value calculated based on the weight and the height of an individual. In asmall European city, a survey was conducted one year ago to review the BMI of the citizens. In the samplewith 200 citizens, the mean BMI was 23.3 kg/m? and standard deviation was 1.5 kg/m?. It is reasonable toassume the BMI distribution is a normal distribution.(a) Find the point estimate of the population mean BMI one year ago.(b) Calculate the sampling error at 90% confidence.(c) Construct a 90% confidence interval estimate of the population mean BMI one year ago.This city launched a healthy exercise program to reduce citizen's BMI after last year's survey. Suppose theprogram effectively reduces the BMI of each citizen by 2.5%.(d) Construct a 98% confidence interval estimate of the population mean BMI after the healthy exerciseprogram. (Hint: find the updated sample mean and sample standard deviation of the BMI of the samplewith 200 citizens selected last year)

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"PhysicalFun" is a physical center which opens 24 hours per day. Each member of "PhysicalFun" has an access card. Members would be charged in a weekly basic (Sunday 12:00a.m. to Saturday 11: 59 p.m.) according to the accumulated number of hours of facilities used within a week. The weekly basic charge is $150 with an additional charge of $30 per hour. According to the company record, the number of hours a member spends in "PhysicalFun" in a week is normally distributed with mean 15 hours and standard deviation 2.8 hours. (a) What are the average and standard deviation of weekly charge of a member? (b) Suppose the middle 85% of weekly charge of a member is denoted by $(L1, L2). Find the values of L1 and L2. (c) The senior management suggests fixing the weekly charge per member at $700. Assume the number of hours a member spends in "Physical Fun" would not be changed due to the change of the weekly charge calculation method. What proportion of members would pay more money than the original system?

"PhysicalFun" is a physical center which opens 24 hours per day. Each member of "PhysicalFun" has an access card. Members would be charged in a weekly basic (Sunday 12:00a.m. to Saturday 11: 59 p.m.) according to the accumulated number of hours of facilities used within a week. The weekly basic charge is $150 with an additional charge of $30 per hour. According to the company record, the number of hours a member spends in "PhysicalFun" in a week is normally distributed with mean 15 hours and standard deviation 2.8 hours. (a) What are the average and standard deviation of weekly charge of a member? (b) Suppose the middle 85% of weekly charge of a member is denoted by $(L1, L2). Find the values of L1 and L2. (c) The senior management suggests fixing the weekly charge per member at $700. Assume the number of hours a member spends in "Physical Fun" would not be changed due to the change of the weekly charge calculation method. What proportion of members would pay more money than the original system?

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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