A researcher is interested in heart rates of university students. The researcher randomly selects 52 students from a class they are teaching and measures the students’ heart rates. The data obtained is in the file “Heart Rates.csv”.

1. What is the target population? What is the study population? What is an individual?

2. Is this an observational study or an experiment?

3. The tools you have learned for doing statistical inference require that certain assumptions be met. Check whether these assumptions are satisfied for this dataset.

4. A heart rate of 70 beats per minute (bpm) is considered typical. What type of statistical test is appropriate for this setting? Test the hypothesis that the average heart rate of students in this class is typical. Be sure to include all three steps.

5. Give a 95% confidence interval for the average heart rate of students in the class.

6. Imagine that we know the population standard deviation of heart rates in the class. What type of inference procedure would you use if you had this extra information? How would you expect the margin of error to change?

7. In part 4, you found a statistically significant difference between the mean heart rate of students in the class and a typical heat rate of 70 beats per minute. Based on your answer to part 5, does this difference appear to be practically significant?

Heart Rate Data

Describe the wireless solution you would recommend for EACH of the following three organizations, and give the rationale for your decision using at least three criteria for that choice. There could be a combination of these options for an individual organization.

1. General Hospital – GH has five floors, each about 30,000 square feet in size for a total of 150,000 square feet. They want to provide a wireless overlay network in addition to their 100Mb switched wired network. They have a bid for 802.11g access points at a cost of $100 each and a bid for 802.11n access points for $300 each. They expect to need 200 NICs. 802.11b NICs came built into their laptop and desktops. 802.11n NICs cost about $100 each. What would you recommend and WHY?

2. Central University – CU wants to add a wireless overlay network to one 20,000 square foot floor in its business school building. They have a bid for 802.11g access points at a cost of $100 each and a bid for 802.11n access points for $300 each. Students will buy their own computers, most of which will come with 802.11n NICs. What would you recommend, and WHY?

3. Ubiquitous Offices – UO provides temporary office space in cities around the country. They have a standard office layout that is a single floor with outside dimensions of 150 feet wide by 150 feet long. The interior is drywall offices. They have a switched 100Mb wired LAN but want to add WLAN as well. Data rates have been shown to slow dramatically when the distance from a laptop to the wireless access point exceeds 50 feet.

1. How many access points would you recommend and where would they be placed?
2. Draw the office and show where the access points would be located.
3. Show coverage for each access point with a circle, and label the channels (1, 6, 11)

Dirk and Diane Davis are both employed solely by XYZ Corp. and each earned $15,000 in wages for 2018. With respect to the following items, what amount should be reported as income in addition to their wages :

Advanced commission for services to be performed in the future-1,500 Payments by XYZ under a qualified plan for dependent care-2,000, Sick pay due to illness paid by insurance company-3,000, cash allownace to pay for meals during work-300, Payements by XYZ to a qualified pension plan-1,000, Group-term life insurance paid by XYZ on insurance coverage of $50,000- 200

Question 6: The following company provides a single product and have provided their summary forecast data shown below relating to its product for 2020.    

a. Calculate the contribution margin per unit.                         

b. Calculate the contribution margin ratio.

c. Calculate the break-even in units and sales dollars for 2020.

d.Calculate the profit earned in 2020.

Question 6: The following company provides a single product and have provided their summary forecast data shown below relating to its product for 2020.     

a. Calculate the contribution margin per unit.                                         

b. Calculate the contribution margin ratio.

c. Calculate the break-even in units and sales dollars for 2020.

d.Calculate the profit earned in 2020.

Given the following marginal utility schedule for good X and good Y for an individual A, given that the price of X and the price of Y are both $10, and that the individual spends all his income of $70 on X and Y,

Q x          1         2       3      4      5      6        7
MUX      15       11       9      6      4      3        1
Q y           6        5       4      3      2      1        0
MUY       12        9       8      6      5      2        1

1. Provide the slope of the budget line
2. Estimate the MRS at the optimum

3. Indicate how much of X and Y the individual should purchase to maximize utility.
Select one:
a. 1. Provide the slope of the budget line: -10
2. Estimate the MRS at the optimum: -10

3. Indicate how much of X and Y the individual should purchase to maximize utility. 4X and 3Y
b. 1. Provide the slope of the budget line: -1
2. Estimate the MRS at the optimum:-1

3. Indicate how much of X and Y the individual should purchase to maximize utility: 6X and 6Y
c. 1. Provide the slope of the budget line: -10/70
2. Estimate the MRS at the optimum: -10/70

3. Indicate how much of X and Y the individual should purchase to maximize utility. 1X and 6Y
d. 1. Provide the slope of the budget line: -1
2. Estimate the MRS at the optimum: -1

3. Indicate how much of X and Y the individual should purchase to maximize utility. 7X and 0Y
e. 1. Provide the slope of the budget line: -1
2. Estimate the MRS at the optimum: -1

3. Indicate how much of X and Y the individual should purchase to maximize utility: 4X and 3Y

1.When students apply for graduate studies (i.e. at the master’s or doctoral level), they are
required to submit an official copy of their transcript, mailed directly from the Registrar’s
Office at their academic institution. The customer service division of the Registrar’s
Office at a large Canadian university is interested in determining if they are more than
25% faster at processing transcripts than another university in the area, which can process
transcripts in 16 business hours. The customer service manager obtains a random sample
of 10 waiting times (in business hours), which are provided below.
11 12 18 20 23
15 10 12 13 14
a. Conduct an appropriate hypothesis test. Use the critical value method. Use a
population standard deviation of 2 hours. [9 marks]
HINT: You will first have to determine what it means to be 25% faster, in terms
of hours.
b. Explain what a Type I Error means in this context. [1 mark]   
2. A major keyboard manufacturer has a line of keyboards designed for apartment dwellers.
These keyboards need to be light enough to be carried up flights of stairs. The lead
engineer wants to use a new type of material. The engineer claims that the new keyboards
will be lighter than the old keyboards.
They take a sample of 4 keyboards manufactured using the old material and compute an
average weight of 21 kg with a standard deviation of 1 kg.
They take a sample of 8 keyboards manufactured using the new material and compute an
average weight of 17 kg with a standard deviation of 2 kg.
a. Conduct an appropriate hypothesis test using the p-value method. Use the old
material as population 1. [8 marks]
b. How much evidence is there against the null hypothesis in part (a)? [1 mark]
c. Explain what a Type II Error means in this context. [1 mark

3.An insurance company is interested in estimating the population mean cost of basic dental
cleaning at dentists in Saskatoon. Suppose there are only two dentists in Saskatoon:
Dentist A and Dentist B. Suppose also that the cost of basic dental cleaning varies only
depending on how well the patient practices regular dental hygiene, so that the cost of
basic dental cleaning roughly follows a Normal distribution regardless of the dentist.
The insurance company selects 8 sample patients and sends them to both Dentist A and
Dentist B. They send the patients in random order, such that half of the patients are seen
by Dentist A first, and half are seen by Dentist B first, so as not to bias the results. The
cost of basic dental cleaning for these 8 patients seen by both Dentists A and B are
provided below. The insurance company would like to determine whether the population
mean cost of basic dental cleaning by Dentist A is different from the population mean
cost of basic dental care by Dentist B. Let the population of costs of basic dental care
from Dentist A be population 1.
Patient 1 2 3 4 5 6 7 8
Dentist A $100 $120 $125 $110 $95 $105 $120 $115
Dentist B $150 $100 $140 $100 $95 $105 $100 $120
Conduct an appropriate hypothesis test using the critical value method. [10 marks]

Jack Winters owns a small business, offering construction services for Disney. To save money on his bids, he subcontracts all of the painting out to another company called Painters Inc. While balancing QuickBooks from the actual “job invoices” and receipts, Jack notices a discrepancy. Painters Inc. was issued a check for $14,125, but the job invoice shows that the job was finished for $12,125. Jack contacts Painters Inc, who provides proof that they received payment for $12,125. Besides Jack, only one person had access to the accounting software. You have been called to investigate.

Write a one-page report detailing the steps Jack needs to take to gather all of the appropriate evidence and protect his company.