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Exercise A: A hog raiser in a certain province uses two meth ods of pig-farming: intensive pig farming, where pigs are housedindoorsin group-housing or straw-lin essheds; andextensive pigfarming, where pigs are allowed to wander around the farm or fence. Test the hypothesis wheth er or not the mean weight of pigs in intensive farmingis better th an the extensive farming based from the mean weight of the pigs in the sample with data shown below. Use a one-tailed test at a = 1%. Inten sive farming: X, = 85 kg, si = 10 kg, and n = 55 Extensive farming: X, = 79 kg, s = 6 kg, and n, = 45
Suppose a book of 585 pages contains 43 types of graphical errors if these errors are randomly distributed throughout the book .what is the probability that 10 pages selected at random will be free from errors
As the regional manager of a pizza franchise business, you are interested in understanding how income in a region affects pizza sales. Below is a regression output for pizza sales (in thousands of dollars) regressed on the average household income of an area (also in thousands of dollars). What is the regression equation?
Model Summary
Model
R
R Square
Adjusted R Square
Std. Error of the Estimate
1
.884(a)
.781
.592
57.970
a Predictors: (Constant), INCOME
Unstandardized Coefficients
Standardized Coefficients
t
Sig.
Model
B
Std. Error
Beta
1
(Constant)
4.027
1.453
6.05
.001
Income
-2.611
0.428
.884
13.54
.000
a Dependent Variable: PIZZASALES
Find the probability of z lying between z=0 and z=2.3.
Mean and standard deviation of sampling distribution of variance of population 2,3,4,5 with sample size =2
What is the probability that a hired bike will be deemed beyond repair provided that the wheels get damaged independently of each other
Financial leverage Max Small has outstanding school loans that require a monthly payment of $1,000. He needs to purchase a new car for work and estimates that this will add $350 per month to his existing monthly obligations. Max will have $3,000 available after meeting all of his monthly living (operating) expenses. This amount could vary by plus or minus 10%
a. To assess the potential impact of the additional borrowing on his financial leverage, calculate the DFL in tabular form for both the current and proposed loan payments using Max’s available $3,000 as a base and a 10% change.
b. Can Max afford the additional loan payment
c. Should Max take on the additional loan payment
Assume the service life is distributed normally, a random sample of several electronic stuff with a service life (years): 6, 7, 7, 7, 6, 8, 8, 7, 6.
Does this indicate that the average lifespan of a shaker from Onix is not the same as 7
year? Do hypothesis testing with a significance level:
a. 1%
b. 5%
c. 10%
The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches. Pediatricians regularly measure the heights of toddlers to determine whether there is a problem. There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.
You are working for a transport company and recently extracted the following data from your Transport Management System for the purpose of making forecasts for year 6. Period Actual Demand 1 200 2 212 3 214 4 222 5 236 6 ?
a) Use exponential smoothing with trend adjustment (FIT) to forecast deliveries for period 6. Let alpha (𝛼) =0.4, beta (𝛽)= 0.2, and let the initial trend value be 4 and the initial forecast be 200.
b) Use the two period moving average to calculate the forecast for periods 3 though to 6
c) Compute MAPE for the periods 3 through to 6 and comment on which method is preferred
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