Last year,a comprehensive report stated that 27% of businesses in northeast of Ohio were considered highly profitable. This year, based on a sample of 46 business owners, a survey your team conducted indicated that 23 businesses were highly profitable. Would you conclude that the proportion of businesses that are highly profitable increased or decreased from last year with a statistical significance? Use a statistical hypothesis test to determine this, using a 1% significance level. (Note from the Instructor - Think about this concept for your studying purposes) For you answer in this problem - give the calculated test statistic you would come up with in step 5 of the hypothesis testing process. Give answer to 3 decimal places.

The COVID-19 pandemic, which hit Sri Lanka on 27 January 2020 with the first
case, and as at 21 st May 2020 reached 1,045 confirmed cases and have reported 9
deaths. The country has been undergoing a long lock-down period of more than 50
days, bringing most of the business to a standstill over a period of 2 months. The
pandemic has brought in many changes, and along with that challenges to the
organization, both economical as well as managerial.
Identify a public quoted company or a private organization, which employs more than
100 staff in Sri Lanka and is undergoing difficulties due to the COVID-19 pandemic.
Critically analyze the challenges the organization has at hand in handling its
workforce.
As an organization development professional, what would be the recommendation
and solution you would suggest to improve or resolve the current challenges related
to the workforce.

Critically evaluate,
1. The challenges and issues the organization faces
2. The applicability of theories in analyzing the situation and challenges

3. The recommendations and how it would help to overcome the challenges and
issues.

Given the sample data.

x:

• 21,
• 19,
• 13,
• 32,
• 27

(a)

Find the range. (Enter an exact number.)

(b)

Verify that Σx = 112 and Σx² = 2,724. (For each answer, enter an exact number.)
Σx =  

(c)

Use the results of part (b) and appropriate computation formulas to compute the sample variance s² and sample standard deviation s. (For each answer, enter a number. Round your answers to two decimal places.)
s² =  
s =  

(d)

Use the defining formulas to compute the sample variance s² and sample standard deviation s. (For each answer, enter a number. Round your answers to two decimal places.)
s

(e)

Suppose the given data comprise the entire population of all x values. Compute the population variance σ² and population standard deviation σ. (For each answer, enter a number. Round your answers to two decimal places.)
σ² =  
σ =  

Problem 14-27 (Algorithmic) A perishable dairy product is ordered daily at a particular supermarket. The product, which costs $1.2 per unit, sells for $1.64 per unit. If units are unsold at the end of the day, the supplier takes them back at a rebate of $1 per unit. Assume that daily demand is approximately normally distributed with µ = 145 and ? = 30. What is your recommended daily order quantity for the supermarket? If required, round your answer to two decimal places. Q* = What is the probability that the supermarket will sell all the units it orders? If required, round your answer to four decimal places. P(Stockout) = In problems such as these, why would the supplier offer a rebate as high as $$1? For example, why not offer a nominal rebate of, say, 25¢ per unit? What happens to the supermarket order quantity as the rebate is reduced? The higher rebate the quantity that the supermarket should order.

Given that the density of air at 0.987 bar and 27°C is 1.146 kg m⁻³, calculate the mole fraction and partial pressure of nitrogen and oxygen assuming the following conditions.

(a) air consists only of these two gases
mole fraction nitrogen
  
mole fraction oxygen
  
partial pressure nitrogen
  bar
partial pressure oxygen
  bar

(b) air also contains 1.0 mole percent Ar
mole fraction nitrogen
  
mole fraction oxygen
  
partial pressure nitrogen
  bar
partial pressure oxygen
  bar
partial pressure argon
  bar

Last week, 108 cars received parking violations in the green parking lot. Of these, 27 had unpaid parking tickets from a previous violation. Assuming that last week was a random sample of all parking violators, find the width of the 90 percent confidence interval for the percentage (correct to four decimal places) of parking violators that have prior unpaid parking tickets.

A spring loaded piston cylinder contains 1.5 kg of air at 27°C and 160 kPa. It is
now heated in a process where pressure is linear in volume, P = A + BV, to twice the
initial volume where it reaches 900 K. Find the work, the heat transfer and the total
entropy generation assuming a source at 900 K. Is this a possible process?

27 years old male patient is admitted to the emergency department following a motor cycle accident. His MR images reveal a C-5 and C-6 spinal nerve injuries.(max 250 words)
a) What kind of motor losses of the upper extremity would you expect in this patient?
(1 point)
b) Which muscles would be affected in this patient?(1 point)
c) Which areas of the upper extremity would be affected in means of sensory functions?
(1 point)
d) Which reflexes would be compromised in this patient? (2 points)