The table below shows monthly beer sales at Gordon’s Liquor Store in 2017.

Forecast beer sales needed for January 2018 using an exponential smoothing method

50. α = 0.2, α = 0.4 and α = 0.9
50. Plot the data and identify the method to forecast the beer sales

A brick of mass m is initially at rest at the peak of an inclined plane, which has a height of 6.4 m and has an angle of θ = 18° with respect to the horizontal. After being released, it is found to be moving at v = 0.15 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the brick and the plane is μ_p = 0.1, and the coefficient of friction on the horizontal surface is μ_r = 0.2.

what is the speed of the brick, in m/s, just after it leaves the inclined plane?

Find the distance, d in meters?

A forest is populated with two species of​ animals, A and B. The forest supplies two kinds of​ food, F1 and F2. For one​ year, each member of species A requires 1 unit of F1 and 0.5 units of F2. Each member of species B requires 0.2 units of F1 and 1 unit of F 2. The forest can normally supply 550 units of F1 and 1265 units of F2 per year. What is the maximum total number of animals the forest can​ support?

-The forest can support at most ____ animals?

A sample of   10   small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was   2   ounces with a sample standard deviation   s=0.2   ounces. We would like to calculate an 80% confidence interval for the average weight of a sample of size   10 .

1. (3%) standard error   =   
2. 
   
3. 
   
4. 
   
5. (3%) The critical   t   value for an 80% confidence interval is
   

   tcrit=   

6. 
   
7. 
   
8. 
   
9. (3%)   EBM=   
10. 
    
11. 
    
12. 
    
13. (3%) An   80%   confidence interval for the population average weight of the candies is from
    

       to   

A sample of   10   small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was   2   ounces with a sample standard deviation   s=0.2   ounces. We would like to calculate an 80% confidence interval for the average weight of a sample of size   10 .

1. (3%) standard error   =   
2. 
   
3. 
   
4. 
   
5. (3%) The critical   t   value for an 80% confidence interval is
   

   tcrit=   

6. 
   
7. 
   
8. 
   
9. (3%)   EBM=   
10. 
    
11. 
    
12. 
    
13. (3%) An   80%   confidence interval for the population average weight of the candies is from
    

       to   

The GPA of graduating engineering students in the fictitious Kingdom of Statistans approximately normally distributed with a mean of 3.1 and a standard deviation of 0.2. The starting salary in Statistan is decided by the central government to be exactly $35K + $2.5K times the square of the GPA.

(a) What GPAs and salaries do the top 20% of graduating students have?

(b) What are the expected value and standard dev. of the starting salary?

(c) What’s the ranking of a graduating student who has a starting salary of $58K, i.e., what fraction of students have a higher starting salary?

A tutoring company claims to deliver significantly greater test scores for their clients. The distribution of test scores are normal with a mean of 20.8 and a standard deviation of 4.8. (a). If we take a random sample of 5000 clients and find they have a sample mean test score of 21, does it suppport the company’s claim? (b). How would you feel if you paid for a tutoring course and you got a score that was only 0.2 over the average? (c). How do you think the result in part (a) will change if the sample size was only 50?

1. How much Sodium chloride (NaCl), in grams, would you need to prepare 100 mL of a 0.2 M NaCl solution, giving the molecular weight for NaCl is 58.4 g/mole?

2. How much glucose, in grams, would you need to prepare 25 mL of a 24% glucose solution?

3. How much stock solution would you need to make 50 mL of a 86 mM Potassium chloride (KCl) solution, given the stock solution is 1 M?

Assume a dimension that a customer is interested in is given by R = x0.5+y. The variables x and y are determined using standard calibration gage pins, where the nominal value of x is 0.9” and the nominal value of y is 0.2”. The manufacturer of the gage pins states that the pins have error bounds of +0.0002” with a quality rate of 95.45%. Assume that the gage pin diameter follows a normal distribution. What is the expanded uncertainty with a 99.73% coverage probability? Use an appropriate estimate of the standard uncertainties of y and z in your calculation.

Use Excel to compute the Beta Coefficient for the following security (J), using first, regression analysis to find the slope of the Characteristic Line for J, given the returns for J and the Market Portfolio Below.

Use the data from B. above and Excel to compute the Beta coefficient using the covariation equation.