​a) What percentage of the​ countries' population in the year did not have health insurance and was between the ages of 18 to 24​ years?

nothing ​%

​(Round to two decimal places as​ needed.)

The Hillsboro Aquatic Centre has an indoor pool with lanes for lap swimming and an open area for recreational swimming and various exercise and water aerobics programs. From 1 June to mid-August it operates on a summer schedule, and from mid-August to the end of May it operates according to normal weekday and weekend schedules. The centre’s policy for the pool is to have a lifeguard-to-patron ratio of 1:40. The centre director wants to develop a forecast of pool attendance for the weekday schedule in order to determine the number of lifeguards to hire. The following data for average daily attendance for each hour of the day that the pool is open to the public (i.e., there are no swim team practices):

Develop a seasonally adjusted forecast model for these data for hourly pool attendance. Forecast attendance for each hour for year 7 by using a linear trend line estimate for pool attendance in year 7. Do the data appear to have a seasonal pattern?

Question

The management of a busy petrol station is concerned that customers are being lost because of long waiting times sometimes required at their petrol pump. Over a two weeks period a careful study has been taken of the arrival of cars and the length of time taken to serve customers at the petrol station. The tables below show the arrival rates and the service time distribution:

• Assuming that the petrol station has only one pump and only one member of staff attend the customers, simulate the arrival of the first 10 customers and calculate the following:

(a)     Average inter-arrival time.

2. Average service time.
3. Average waiting time.
4. Average queue length.

Use the random numbers given below for the simulation.

89,34,07,65,37,11,29,80,28,34,08,14,75,92,01,48,21,83,63,91.

Introduction to Probability and Statistics

Scenario: We wish to compare the commuting time in minutes to the university of two sections of a particular

Morning Section Times:
39 35 39 39 40 37 41 39 42 40 37 35 38 36 40 35 38 36 39 35 38 35 39 38 41 39 38 40 38 41 41 37 34 41 37 41 35 39 36 41

Evening Section Times:
35 47 29 34 26 34 38 45 44 49 37 37 37 37 40 26 29 30 23 38 32 36 45 39 31 42 41 35 34 43 31 30 37 36 33

Part 1 Create one side-by-side boxplot of the two sets of times (i.e. both boxplots on the same axes). The axes for the boxplots should have appropriate labels. Copy and paste this boxplot into your document. The boxplots themselves may be either horizontal or vertical.

Part 2 Use R to calculate the sample mean and sample standard deviation of the times for the two sections. Copy and paste the relevant commands and output from the R Console Window into your document.

Part 3 In your opinion, which class appears to have the longer commute times? Write a few sentences explaining your opinion. You should make reference to the relevant features of the two data sets (e.g. the sample mean or median, the spread of the data, minimum/maximum values, etc.)

Consider two individuals with endowments of T= 60 hours (per week) of leisure, nonlabour income of Y, and a wage of $7.50 per hour. At this wage, assume that workers are constrained by their employers to work 40 hours per week, or not at all.

a. On carefully labelled diagrams, show the equilibrium for a worker for whom 40 hours is the optimum labour supply and a worker who would like to work 50 hours, but still prefers the 40-hour week to not working at all. Compare the marginal rates of substitution for these individuals at 40 hours per week.

b. The average part-time “moonlighting “wage is $7 per hour, in contrast to $7.50 wage for full-time workers. By modifying the above model for the individual who prefers to work more than 40 hours a week, provide an explanation for this difference in wage rates.

Use the following dataset for the next four questions:

X: 5 3 6 3 4 4 6 8

Y: 13 15 7 12 13 11 9 5

1. What is the correlation value “r”?

a. -0.98

b. -0.89

c. 0.89

d. None of the above

2. Is the “r” signifcant at alpha = 0.05? (circle one) Yes No

3. Identify the regression equation below (note: Y is the dependent variable):

a. Y = 19.12 + 1.74(X)

b. Y = 19.12 – 1.74(X)

c. Y = -4.802 – 1.74(X)

d. None of the above

4. Calculate the value of Y when X is 7:

a. 9.64

b. 4.96

c. 6.94

d. None of the above

Mr. James McWhinney, president of Daniel-James Financial Services, believes there is a relationship between the number of client contacts and the dollar amount of sales. To document this assertion, Mr. McWhinney gathered the following sample information. The X column indicates the number of client contacts last month, and the Y column shows the value of sales (in thousands $) last month for each client sampled.

5. Identify the regression equation below :

a. Sales = –12.2 + 2.19(Contacts)

b. Sales = 2.19 – 12.2(Contacts)

c. Sales = 6.56 + 0.176(Contacts)

d. None of the above

6. Calculate the estimated sales (in thousands) if 40 contacts are made: ______________

a. Approximately 57

b. Approximately 75

c. Approximately 85

d. None of the above

Test runs for the operating time before overeating of 9 randomly selected motors of a certain type showed a sample mean of 39.7 hours and a sample standard deviation of 2.5 hours. Find a 95% confidence interval for the standard deviation of the length of time a motor of this type will operate before overheating.

Write a program( preferably in C++)  using the extended Euclidean algorithm to find the multiplicative inverse of a mod n. Your program should allow user to enter a and n.

Note: For this question please make sure the code compiles and runs, it is not copied and pasted from elsewhere( I will be checking!). Thanks

A hotel runs several advertisements in the student newspaper of a local university, promoting its Sunday brunch menu. The ads increase the number of people visiting its restaurant, but only slightly.  Is the campaign necessarily a failure? What other goals might the hotel have for this advertising campaign? (Answer thoroughly.)

Calculate the​ range, variance, and standard deviation for the following samples.

a.

4848​,

4141​,

3434​,

3838​,

3131  

  b.

110110​,

77​,

44​,

9898​,

7070​,

11​,

22​,

1010​,

33  

  c.

110110​,

77​,

44​,

4040​,

7070​,

4040​,

4949​,

33  

a. The range is

nothing.

​(Type an integer or a decimal. Do not​ round.)

The variance is

nothing.

​(Round to two decimal places as​ needed.)

The standard deviation is

nothing.

​(Round to one decimal place as​ needed.)

b. The range is

nothing.

​(Type an integer or a decimal. Do not​ round.)

The variance is

nothing.

​(Round to two decimal places as​ needed.)

The standard deviation is

nothing.