An appraiser is appraising an office building in Manhattan. Assume that the population of these appraisals is normally distributed. For commercial appraisals, a comparison analysis and a cost analysis is done. A comparison analysis involves finding the sale prices of several comparable properties (within the last six months) and computing an average value. The cost method involves determining the present cost of duplicating the given property. Clearly, if the comparable analysis yields a present market price greater than the cost of duplicating the given property, the price is not a good deal to an investor, and vice versa. Using the comparison analysis method, the appraiser collected sales data on nine comparable buildings, yielding values of $111,520,000, $112,460,000, $111,940,000, $112,601,000, $110,980,000, $111,200,000, $112,750,000, $112,400,000, and $111,680,000. Using the cost approach, the appraisal was $112,525,000. At the 5% level of significance, should the appraiser conclude that the two appraisals are the same or different?
Step 1 of 4: Consider the problem scenario. The mean of the comparable properties is $111,948,000. What are the logical hypotheses? Use a significance level of 5%.
A) H0: μ ≤ $112,525,000 Ha: μ > $112,525,000
B) H0: μ = $112,525,000 Ha: μ ≠ $112,525,000
C) H0: μ ≠ $112,525,000 Ha: μ = $112,525,000
D) H0: μ ≥ $112,525,000 Ha: μ < $112,525,000
Step 2 of 4: What is the classical approach decision rule for the null hypothesis?
A) If | t | < 1.860, reject the null hypothesis.
B) If t > 1.860, reject the null hypothesis.
C) If t < -1.860, reject the null hypothesis.
D) If | t | > 1.860, reject the null hypothesis.
Step 3 of 4: Using the classical approach, state the conclusion of the test.
A) It is a certainty that the comparison appraisal is less than the cost appraisal.
B) At the 5% level, fail to reject the null hypothesis; there is not sufficient sample evidence to claim that the comparison appraisal is less than the cost appraisal.
C) At the 5% level, reject the null hypothesis; there is sufficient sample evidence to conclude that the comparison appraisal is less than the comparison appraisal is less than the cost appraisal.
D) At the 5% level, the results are inconclusive.
Step 4 of 4: Using the p-value approach, state the conclusion of the test.
A) Since the p-value of 0.000 is less than the stated significance level of 0.05, the test is inconclusive.
B) Since the p-value of 0.100 is not less than the stated significance level of 0.05, fail to reject the null hypothesis
C) Since the p-value of 0.027 is less than the stated significance level of 0.05, fail to reject the null hypothesis
D) Since the p-value of 0.014 is less than the stated significance level of 0.05, reject the null hypothesis
In: Math
The given data represent the total compensation for 10 randomly selected CEOs and their company's stock performance in 2009. Analysis of this data reveals a correlation coefficient of requals=negative 0.2324−0.2324.
Compensation (millions of dollars) |
Stock Return (%) |
|
---|---|---|
26.8126.81 |
6.286.28 |
|
12.6112.61 |
30.3330.33 |
|
19.0219.02 |
31.6831.68 |
|
12.8712.87 |
79.2779.27 |
|
12.5212.52 |
negative 8.17−8.17 |
|
11.8311.83 |
2.272.27 |
|
25.9925.99 |
4.594.59 |
|
14.8214.82 |
10.5810.58 |
|
17.2817.28 |
3.653.65 |
|
14.3414.34 |
11.96 |
What would be the predicted stock return for a company whose CEO made $15 million? What would be the predicted stock return for a company whose CEO made $25 million?
What would be the predicted stock return for a company whose CEO made $ 15 million?
What would be the predicted stock return for a company whose CEO made $ 25 million
In: Math
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 90 and standard deviation σ = 20. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)
(a) x is more than 60
(b) x is less than 110
(c) x is between 60 and 110
(d) x is greater than 125 (borderline diabetes starts at
125)
In: Math
Cavalier Bike co sells their comfortable style bike for $90. Labor, material and overhead are listed:
Week 1 Week 2 Week 3 Week 4
#Bikes produced 1,117 1,306 1,092 985
Labor ($) 12,691 14,842 10,563 9,576
Material ($) 21,427 24,523 20,442 18,414
Overheads ($) 9,463 10,530 8,686 7,798
What is the multifactor productivity for each week?
Round your answer to the nearest whole number.
In: Math
A Telecommunications company recently installed a new speech recognition system for its repair calls. In their old system, operators had to press keys on the numeric keypad to answer questions, which led to longer time on service calls. on service calls. The company is conducting a study to examine the impact of the new system on the average duration of service calls. Average duration of service calls was 31.4 minutes prior to the installation of the new system. They analyzed a random sample of 20 service calls and obtained an average duration of service calls of 29.4 minutes. Based on historical data, the standard deviation of duration of service calls is known to be σ =6.2 minutes.
What is the P value of the the hypothesis test to determine if the system has been effective reducing the average duration of service calls ? (Use 4 DECIMALS)
In: Math
You want to estimate the mean weight of quarters in circulation. A sample of 50 quarters has a mean weight of 5.643 grams and a standard deviation of 0.065 grams. Use a single value to estimate the mean weight of all quarters. Also, find the 95% confidence interval for the average weight of all quarters. Q- The mean weight of all quarters is approximately ? grams Q- The lower limit of the 95% confidence interval is ? Q- The upper limit of the 95% confidence interval is? Q- Thus, the 95% confidence interval for the average weight of all quarters ranges from ? grams to ? grams.
In: Math
A genetic experiment with peas resulted in one sample of offspring that consisted of 416 green peas and 156 yellow peas.
a. Construct a 90% confidence interval to estimate of the percentage of yellow peas.
b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?
In: Math
What are differences between in precision analysis for a calibration fit in comparison to a standard scatter analysis?
Describe the theory behind linear regression analysis.
In: Math
Month |
Actual Sales |
1 |
3050 |
2 |
2980 |
3 |
3670 |
4 |
2910 |
5 |
3340 |
6 |
4060 |
7 |
4750 |
8 |
5510 |
9 |
5280 |
10 |
5504 |
11 |
5810 |
12 |
6100 |
In: Math
The Conch Café, located in Gulf Shores, Alabama, features casual lunches with a great view of the Gulf of Mexico. To accommodate the increase in business during the summer vacation season, Fuzzy Conch, the owner, hires a large number of servers as seasonal help. When he interviews a prospective server, he would like to provide data on the amount a server can earn in tips. He believes that the amount of the bill and the number of diners are both related to the amount of the tip. He gathered the following sample information.
CustomerAmount of TipAmount of BillNumber of DinersCustomerAmount of TipAmount of BillNumber of Diners
Customer | Amount of Tip ($) | Amount of Bill ($) | Diners |
1 | 5.15 | 74.5 | 2 |
2 | 4.5 | 28.23 | 4 |
3 | 1 | 10.65 | 1 |
4 | 2.4 | 19.82 | 3 |
5 | 5 | 28.62 | 3 |
6 | 4.25 | 24.83 | 2 |
7 | 0.5 | 6.25 | 1 |
8 | 6 | 49.2 | 4 |
9 | 5 | 43.26 | 3 |
10 | 4.65 | 62.23 | 1 |
11 | 5.6 | 84.81 | 1 |
12 | 6 | 34.99 | 3 |
13 | 4 | 33.91 | 4 |
14 | 3.35 | 23.06 | 2 |
15 | 0.75 | 4.65 | 1 |
16 | 3.3 | 23.59 | 2 |
17 | 3.5 | 22.3 | 2 |
18 | 3.25 | 32 | 2 |
19 | 5.4 | 50.02 | 4 |
20 | 2.25 | 17.6 | 3 |
21 | 4.35 | 63.16 | 6 |
22 | 3 | 20.27 | 2 |
23 | 1.25 | 19.53 | 2 |
24 | 3.25 | 27.03 | 3 |
25 | 3 | 21.28 | 2 |
26 | 6.25 | 43.38 | 4 |
27 | 5.6 | 28.12 | 4 |
28 | 2.5 | 26.25 | 2 |
29 | 6.85 | 53.08 | 7 |
30 | 8.6 | 87.85 | 8 |
Click here for the Excel Data File
a-1. Develop a multiple regression equation with the amount of tips as the dependent variable and the amount of the bill and the number of diners as independent variables and complete the table. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
Predictor | Coefficient | SE Coefficient | t | p-value |
Constant | ||||
Bill | ||||
Diners |
a-2. Write out the regression equation. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
Tip= ____ + ____ Bill + _____ Diners |
a-3. How much does another diner add to the amount of the tips? (Round your answer to 2 decimal places.)
b. According to the p-values, which variable should be deleted if alpha = 0.05?
In: Math
#14 . Listed below are speeds (mi/h) measured from southbound traffic on I-280 near Cupertino, CA. This simple random sample was obtained at 3:30 p.m. on a weekday. Use a 0.05 significance level to test the claim of the highway engineer that the standard deviation of speeds is equal to 5.0 mi/h. (With a 95% confidence) 62 61 61 57 61 54 59 58 59 69 60 67
A) Construct a confidence interval using the confidence level provided.
B) Test the hypothesis
C) Enter the results in excel as following
confidence level critical value confidence interval
XL^2
XR^2
In: Math
General Electric recently conducted a study to evaluate filaments in their industrial high intensity bulbs. Investigators recorded the number of weeks each high-intensity bulb would last before failure for three test filaments (Groups 1, 2, and 3) and the standard filament (Group 4). The results are as follows. Using ? = 0.01,
Group 1 2 3 4
15 14 25 28
18 18 19 31
21 20 22 27
16 16 20 32
17 15 18 23
20 16 24 25
18 22 27 30
14 18 27
24 25
26
In: Math
In: Math
What is the Poisson Regression?
Why is the Standard Deviation an important Business Metric?
How do business leaders and researchers use the Expected Value?
In: Math
1. A salsa producer has just received a shipment of tomatoes
from their main supplier. If the salsa
company finds convincing evidence that more than 7% of the tomatoes
are damaged and
unusable for the salsa making process, the truck will have to be
sent away and a new shipment
will have to be sent out by the supplier. An inspection reveals
that 49 tomatoes are unusable
when the supervisor selects a random sample of 500 tomatoes from
the truck. Carry out a
significance test at the α = 0.05 significance level. What should
the salsa producer conclude
about the shipment?
2. As part of the Southeastern Region of Teach America,
researchers conducted two surveys in
2019. The first survey asked a random sample of 1287 Florida
college students about their use of
online tutoring services. A second survey posed similar questions
to a random sample of 1354
Georgia college students. In these 2 studies, 57% of Florida
college students and 68% of Georgia
college students said they used online tutoring services. Construct
and interpret a 90%
confidence interval for the difference between the proportion of
Florida and Georgia college students who use online tutoring
services
In: Math