5-3 Assignment - Means, Test of Hypothesis
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Hypothesis Testing for Regional Real Estate Company
1
Hypothesis Testing for Regional Real Estate Company
Colleen Del Valle
Southern New Hampshire University
Hypothesis Testing for Regional Real Estate Company
2
Introduction
The purpose of this analysis is to analyze real estate data from the Pacific Region, to see if the average cost per square foot of a home is less than $280. I was able to generate a random sample by using the blank column ‘G’ and typing in the formula ‘=RAND()’ into ‘G2.’ The formula populated a random number, from there I copied the formula all the way down to the last
data set. Hypothesis Test Setup
The population parameter is the mean cost per square foot in the Pacific Region (
m
).
Null hypothesis, H
0
: µ = $280 per square foot.
Alternative hypothesis, H
1
<
$280 per square foot
For testing purposes, I will be using the left-tailed test as the left tailed test is used when the hypothesis asserts that the value of the parameter is less than the value asserted in the null hypothesis. Data Analysis Preparations
Descriptive Statistics
Sample Size
750
Sample Mean
$262
Sample Median
$203
Standard Deviation
162.490563
Hypothesis Testing for Regional Real Estate Company
3
The above model mirrors the cost per square foot for the Pacific Region with the x-axis being the cost per sq ft and the y-axis being the sample size. The shape of the histogram would be considered a multimodal because there are more then two “mounds.” With a skewness to the right because that is where the tail is. The center on the model is not in the center but to the left at $264 per sq ft and it is reflective of the spread or standard deviation being $162.50. The assumptions have been met being as the sample size is 750, and the sample mean is less than 280. The test significance level is α = .05.
Calculations
The sample mean for the cost per sq ft is $264, with the standard error being $5.93. To determine the test statistic, you must take the sample mean of 264 minus the target which is 280 then divide by 5.93. the equation will look like this, (264-280)/5.93 = -2.96910878. Now to calculate the p
value, you need to determine the best type of test to use, as I stated above, we will
be using a left-tailed test to complete the analysis. To calculate the p
value for a left-tailed test you need to figure out what your degree of freedom is, for this analysis the degree of freedom is taking the sample size of 750 and subtracting 1, that would make the degree of freedom 1. For
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Related Questions
1
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More real estate Consider the Albuquerque home sales from
Exercise 29 again. The regression analysis gives the model
Price = 47.82 + 0.061 Size.
a) Explain what the slope of the line says about housing prices
and house size.
b) What price would you predict for a 3000-square-foot house
in this market?
c) A real estate agent shows a potential buyer a 1200-square-
foot home, saying that the asking price is $6000 less than
what one would expect to pay for a house of this size. What
is the asking price, and what is the $6000 called?
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Assume there are 3,600 cases in the validation dataset, and 12% of these cases have a value of 1 for
churn (the primary/positive event). Questions a) to c) are based on data for the 3,600 cases (see
table below).
Depth
(% Contacted)
Model
Cumulative Gain
Cumulative Lift
Decision Tree
34.42
6.84
Logistic Regression
Neural Network
20.19
4.01
34.62
6.88
Decision Tree
Logistic Regression
Neural Network
10
64.90
6.06
10
36.06
3.15
10
62.50
5.54
Decision Tree
15
73.96
1.82
Logistic Regression
Neural Network
15
49.04
2.62
15
82.21
3.97
Decision Tree
Logistic Regression
20
78.39
0.87
20
59.13
2.01
Neural Network
20
86.54
0.86
a) Which model has the highest Cumulative Lift at a depth of 20%? What is the lift?
b) If the Cumulative Gain at a depth of 10% for the Decision Tree is converted to number of
primary/positive event cases, what will be the number of cases? Show your calculation.
c) If the Cumulative Gain at a depth of 15% for the Neural Network model is converted to number
of…
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to determine which one has the best average rate of return.
Machine A
Machine B
$45,730.58
$60,103.80
326,647.00 200,346.00
Ca, Machines B and C have the same preferred average rate of return
b. Machine C
C. Machine 11
d. Machine A
Estimated average income
Average investment
Machine C
$74,639.55
497,597.00
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Newport, Inc. used Excel to run a least-squares regression analysis, which resulted in the following output:
Regression Statistics
Multiple R
R Square
Observations
0.7225
0.8500
30
Coefficients
Standard Error
T Stat
P-Value
0.021
Intercept
Production (X)
31,000
5.87
3,493
2.86
0.4640
14.30
0.000
a. What is Newport's total fixed cost?
Total Fixed Cost
b. What is Newport's variable cost per unit? (Round your intermediate calculations to 2 decimal places.)
Variable Cost
per unit
c. What total cost would Newport predict for a month in which they sold 5,000 units?
Total Costs
d. What proportion of variation in Newport's cost is explained by variation in production? (Round your intermediate calculations to 2
decimal places.)
Proportion of Variation
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(a) Mean
(b) Median
(c) Standard Deviation
(d) Variance
(e) 4 Quartiles
(f) Range
(g) IQR
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Using the following:
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Properties of Normal Distribution: (3p)
Write the word or phrase that best completes each statement or answers the question.
a. What is the total area under the normal curve?
b. The normal distribution is defined by two parameters. What are they?
c. What are the mean and standard deviation of the standard normal distribution?
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Quest. Simulation)
The mai..gement of Brinkley Corporation is interested in using simulation to estimate the profit per
unit for a new product. Probability distributions for the purchase cost, the labor cost, and the
transportation cost are as follows:
Labour
Purchase
Transportation
Cost ($)
Cost
Cost ($)
Probability
($)
Probability
Probability
10
0.25
20
0.1
3
0.75
11
0.45
22
0.25
0.25
12
0.3
24
0.35
25
0.3
Assume that these are the only costs and that the selling price for the product will be $45 per unit.
a. Provide the base (most likely)-case, worst-case, and best-case calculations for the profit per unit.
b. Set up intervals of random numbers that can be used to randomly generate the three cost
components, and find the average profit based on 10 simulation trials. Show your simulation
model (including the formulas sed) as developed with Excel.
c. Using the random numbers 0.3726, 0.5839, and 0.8275, calculate the profit per unit. (
d. Management believes the project may not be…
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Click the icon to view the Home Market Value data.
State the model for predicting MarketValue as a function of Age and Size, where Age is the age of the house, and Size is the size of the house in square feet.
MarketValue =
+Age+ (Size
(Type integers or decimals rounded to three decimal places as needed.)
The value of R2,, indicates that % of the variation in the
(Type integers or decimals rounded to three decimal places as needed.)
is explained by
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Group of answer choices
beta, alpha
alpha, beta
standard deviation, beta
beta, standard deviation
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1.
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Consider the following data for a dependent variable y and two independent variables, x1 and 12.
30
12
94
47
10
109
25
18
112
51
16
178
40
94
51
19
175
75
171
36
12
118
59
13
143
77
17
212
Round your all answers to two decimal places. Enter negative values as negative numbers, if necessary.
a. Develop an estimated regression equation relating Y to ¤1.
Predict y if æ1 = 35.
b. Develop an estimated regression equation relating y to x2.
ŷ =
+
Predict y if x2 = 25.
ŷ =
c. Develop an estimated regression equation relating y to ¤1 and 2.
Predict y if x1 = 35 and x2 = 25.
ŷ =
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Click the icon to view the data on program per-year tuition and mean starting salary
a. At the 0.01 level of significance, is there evidence of a linear relationship between the starting salary upon graduation and program per-year tuition?
Determine the hypotheses for the test.
Ho B₁
=
D
H₁ P₁ #0
(Type integers or decimals. Do not round.)…
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the expected value with the survey?
a. 39,000 JD
b. 27000 JD
c. 37000
d. 36,000 JD
e. 33,000
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y 9 11
D
15
15
21
24
28
32
X1
2
6
6 8
6
11
15
20
X2 16 10
14
11 3
8
7 4
a. Using technology, construct a regression model using both independent variables.
y= (15.3952) + (1.0092) x₁ + (-0.5869)x2
(Round to four decimal places as needed.)
b. Test the significance of each independent variable using α = 0.05.
Test the significance of x₁. Identify the null and alternative hypotheses.
Ho B₁ =
H₁ B₁
0
0
(Type integers or decimals.)
Calculate the appropriate test statistic.
The test statistic is 4.20
(Round to two decimal places as needed.)
Determine the appropriate critical value(s) for α = 0.05.
The critical value(s) is (are) ☐
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
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Note: Use MS-EXCEL for the Calculation, Take Snapshot after analysis
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Related Questions
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- Newport, Inc. used Excel to run a least-squares regression analysis, which resulted in the following output: Regression Statistics Multiple R R Square Observations 0.7225 0.8500 30 Coefficients Standard Error T Stat P-Value 0.021 Intercept Production (X) 31,000 5.87 3,493 2.86 0.4640 14.30 0.000 a. What is Newport's total fixed cost? Total Fixed Cost b. What is Newport's variable cost per unit? (Round your intermediate calculations to 2 decimal places.) Variable Cost per unit c. What total cost would Newport predict for a month in which they sold 5,000 units? Total Costs d. What proportion of variation in Newport's cost is explained by variation in production? (Round your intermediate calculations to 2 decimal places.) Proportion of Variationarrow_forwardFor the Housing data sheet, Compute the following for the Price column – NE Sector = ‘Yes’, NE Sector = ‘No’ and Overall. You are free to use either Excel functions or the tools available in the Analysis Toolpak. (a) Mean (b) Median (c) Standard Deviation (d) Variance (e) 4 Quartiles (f) Range (g) IQRarrow_forwardFor the Housing data sheet, Compute the following for the Price column – NE Sector = ‘Yes’, NE Sector = ‘No’ and Overall. You are free to use either Excel functions or the tools available in the Analysis Toolpak.(a) Mean(b) Median(c) Standard Deviation(d) Variance(e) 4 Quartiles(f) Range(g) IQR Using the following:arrow_forward
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