PLEASE SHOW WORKING SOLUTION
13. Previous research states, "no evidence currently exists supporting or refuting the use of electric fans during heat waves" in terms of mortality and illness. Counterintuitively, Public Health guidelines suggest not using fans during hot weather, with some research reporting the potential of fans accelerating body heating.
You decide to research further this seemingly contradictory guidance, hypothesizing that the true population average core body temperature amidst higher ambient temperature and humidity levels while using an electric fan is different than 90.1 degrees Fahrenheit (°F) and you set the level of significance at 2.5% for your formal hypothesis test. You randomly sample 50 participants based on your research funding and for 45 minutes, the study participants sit in a chamber maintained at a temperature of 108°F (i.e., 42 degrees Celsius) and a relative humidity of 70%. After the first 45 minute warming period, for each participant you place a personal sized electric fan 3 feet away with its airflow directed at a given participant's chest area, and the participants relax in this position for the next 45 minutes. At the end of this 45minute fan period, you record the core body temperature of all participants. The following table comprises the data you collect.
|
Subject |
Core Body |
|
1 |
108.8 |
|
2 |
109.0 |
|
3 |
110.3 |
|
4 |
108.6 |
|
5 |
110.3 |
|
6 |
109.0 |
|
7 |
107.7 |
|
8 |
109.1 |
|
9 |
107.9 |
|
10 |
108.7 |
|
11 |
108.1 |
|
12 |
109.3 |
|
13 |
109.6 |
|
14 |
109.5 |
|
15 |
109.3 |
|
16 |
109.9 |
|
17 |
108.6 |
|
18 |
110.3 |
|
19 |
109.5 |
|
20 |
108.9 |
|
21 |
108.5 |
|
22 |
110.0 |
|
23 |
110.5 |
|
24 |
110.0 |
|
25 |
108.6 |
|
26 |
109.9 |
|
27 |
110.4 |
|
28 |
110.9 |
|
29 |
109.7 |
|
30 |
108.2 |
|
31 |
108.8 |
|
32 |
109.7 |
|
33 |
108.6 |
|
34 |
109.8 |
|
35 |
111.4 |
|
36 |
109.0 |
|
37 |
108.8 |
|
38 |
109.1 |
|
39 |
108.9 |
|
40 |
108.1 |
|
41 |
108.3 |
|
42 |
109.8 |
|
43 |
110.4 |
|
44 |
110.9 |
|
45 |
107.9 |
|
46 |
111.6 |
|
47 |
109.5 |
|
48 |
109.1 |
|
49 |
108.7 |
|
50 |
109.2 |
Per Step 3 of the 5-Steps to Hypothesis Testing, choose the appropriate decision rule.
Select one:
a. Reject H0 if z = +2.576 and z > -2.241
b. Reject H0 if t = -1.960 and t < -1.960
c. Accept H1 if z ≤ -1.645 or t ≥ +1.645
d. Reject H0 if z ≤ -2.241 or z ≥ +2.241
In: Statistics and Probability
A company has a 13% WACC and is considering two mutually exclusive investments (that cannot be repeated) with the following cash flows:
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Project A | -$300 | -$387 | -$193 | -$100 | $600 | $600 | $850 | -$180 |
| Project B | -$400 | $131 | $131 | $131 | $131 | $131 | $131 | $0 |
What is each project's NPV? Round your answer to the nearest cent. Do not round your intermediate calculations.
Project A $
Project B $
What is each project's IRR? Round your answer to two decimal places.
Project A %
Project B %
What is each project's MIRR? (Hint: Consider Period 7 as the end of Project B's life.) Round your answer to two decimal places. Do not round your intermediate calculations.
Project A %
Project B %
| Discount Rate | NPV Project A | NPV Project B |
| 0% | $ | $ |
| 5 | ||
| 10 | ||
| 12 | ||
| 15 | ||
| 18.1 | ||
| 23.54 |
What is each project's MIRR at a WACC of 18%? Round your answer to two decimal places. Do not round your intermediate calculations.
Project A %
Project B %
In: Finance
A company has a 13% WACC and is considering two mutually exclusive investments (that cannot be repeated) with the following cash flows:
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Project A | -$300 | -$387 | -$193 | -$100 | $600 | $600 | $850 | -$180 |
| Project B | -$400 | $132 | $132 | $132 | $132 | $132 | $132 | $0 |
What is each project's NPV? Round your answer to the nearest cent. Do not round your intermediate calculations.
Project A $
Project B $
What is each project's IRR? Round your answer to two decimal places.
Project A %
Project B %
What is each project's MIRR? (Hint: Consider Period 7 as the end of Project B's life.) Round your answer to two decimal places. Do not round your intermediate calculations.
Project A %
Project B %
| Discount Rate | NPV Project A | NPV Project B |
| 0% | $ | $ |
| 5 | ||
| 10 | ||
| 12 | ||
| 15 | ||
| 18.1 | ||
| 23.86 |
What is each project's MIRR at a WACC of 18%? Round your answer to two decimal places. Do not round your intermediate calculations.
Project A %
Project B %
In: Finance
he results of ANOVA test are summarized in Table 1.
Table 1. Shows the results of ANOVA for three different procedures
| Source | Sum of Square | d.f | Mean Square | F |
|---|---|---|---|---|
| Between | 160.13 | 80.97 | 9.17 | |
| Within (error) | 104.80 | 8.73 | ||
| Total | 264.93 | 14 |
The degrees of freedom for between and within are:
Select one:
A. 1 and 13 respectively
B. 2 and 12 respectively
C. 3 and 11 respectively
D. 4 and 10 respectively
QUESTION 42
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A research group claims by taking a special vitamin, a weight lifter can increase his strength. After two weeks of training, supplemented with vitamin, they tested again. Test the effectiveness of the regiment at α = 0.05. Assume that the variable is normally distributed. The alternative hypothesis is :
Select one:
a. H0: µD ≥ 0
b. H0: µD = 0
c. H0: µD ≠ 0
d. H0: µD ≤ 0
QUESTION 43
Question text
What is nP0? NEED TO FIND THEM N AND po
Select one:
A. 1
B. no answer
C. n
D. 0
QUESTION 44
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The data for a sample of 100 gave the regression line equation for age and blood pressure is Ÿ = 100 + 0.96X, and the standard error is 5. The 95% confidence interval of the prediction of the blood pressure of a person who is 43 years old showed that the lower confidence limit is :
Select one:
A. 125.67
B. 141.34
C. 142.34
D. 131.48
QUESTION 45
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A researcher wants to investigate if there is a difference in the rates of hotel room in two cities. A sample of 50 were selected from each city, the average hotel room in the first city is RM88.42 and in the second city is RM80.61 and the standard deviation are RM5.62 and RM4. The null hypothesis for the difference between the means is
Select one:
A. µ1 - µ2 ≤ 0
B. µ1 - µ2 = 0
C. µ1 - µ2 ≥ 0
D. µ1 - µ2 ≠ 0
QUESTION 46
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When a distribution is bell-shaped approximately what percentage of data values will fall within one standard deviation of the mean?
Select one:
A. 95%
B. 68%
C. 99.7%
D. 50%
QUESTION 47
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A repair team is responsible for a stretch of oil pipeline 2 miles long. The distance (in miles) at which any fracture occurs can be represented by a uniformly distributed random variable f(x) = 0.5
What is the probability that any given fracture occurs between 0.5 mile and 1.5 miles along this stretch pipeline?
Select one:
A. 0.2
B. 0.5
C. 0.1
D. 0.7
QUESTION 48
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In an advertisement, a retail store stated that its employees averaged nine years of service. The distribution is shown here.
| Number of Employees | Years of Service |
|---|---|
| 8 | 2 |
| 2 | 6 |
| 3 | 10 |
Using the weighted mean, the correct average is .........
Select one:
A. 4.5
B. 3.5
C. 5.4
D. 5.3
QUESTION 49
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The data for a sample of 100 gave the regression line equation for age and blood pressure is Ÿ = 100 + 0.96X, and the standard error is 5. The 95% confidence interval of the prediction of the blood pressure of a person who is 43 years old showed that the upper confidence limit is :
Select one:
A. 159.08
B. 149.09
C. 151.08
D. 155.08
QUESTION 50
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The variance for the data values “ 87, 85, 80, 78, 86, 90” is :
Select one:
A. 4.1
B. 12
C. 85
D. 17.1
In: Statistics and Probability
The following data represents the winning percentage (the number
of wins out of 162 games in a season) as well as the teams Earned
Run Average, or ERA.
The ERA is a pitching statistic. The lower the ERA, the less runs
an opponent will score per game. Smaller ERA's reflect (i) a good
pitching staff and (ii) a good team defense. You are to investigate
the relationship between a team's winning percentage - YY, and its
Earned Run Average (ERA) - XX.
| Winning Proportion - Y | Earned Run Average (ERA) - X |
| 0.623457 | 3.13 |
| 0.512346 | 3.97 |
| 0.635802 | 3.68 |
| 0.604938 | 3.92 |
| 0.518519 | 4.00 |
| 0.580247 | 4.12 |
| 0.413580 | 4.29 |
| 0.407407 | 4.62 |
| 0.462963 | 3.89 |
| 0.450617 | 5.20 |
| 0.487654 | 4.36 |
| 0.456790 | 4.91 |
| 0.574047 | 3.75 |
(a) Using R-Studio, create a scatter-plot of the
data. What can you conclude from this scatter-plot?
A. There is a negative linear relationship between
a teams winning percentage and its ERA.
B. There is a positive linear relationship between
a teams winning percentage and its ERA.
C. There is not a linear relationship between the
a teams winning percentage and its ERA.
(b) Use R-Studio to find the least squares
estimate of the linear model that expressed a teams winning
percentage as a linear function of is ERA. Use four decimals in
each of your answers.
YˆiY^i =
equation editor
? + -
equation editor
XiXi
(c) Find the value of the coefficient of
determination, then complete its interpretation.
r2=r2=
equation editor
(use four decimals)
The percentage of ? variation standard deviation the
mean in ? a teams winning percentage a teams
earned run average that is explained by its linear
relationship with ? the teams winning percentage the
teams earned run average is
equation editor
%.
(d) Interpret the meaning of the slope term in the
estimate of the linear model, in the context of the data.
As a teams ? winning percentage earned run
average increases by ? one percentage point
one earned run the teams ? winning percentage
earned run average will ? will increase by an
average of will decrease by an average of will increase by will
decrease by
equation editor
. (use four decimals)
(e) A certain professional baseball team had an
earned run average of 3.45 this past season. How many games out of
162 would you expect this team to win? Use two decimals in your
answer.
equation editor
games won
(f) The team mentioned in part
(e) won 91 out of 162 games. Find the residual,
using two decimals in your answer.
In: Statistics and Probability
Rework problems 13 and 14 from section 2.4 of your textbook (page 81) about the bucket containing orange tennis balls and yellow tennis balls from which 5 balls are selected at random, but assume that the bucket contains 6 orange balls and 8 yellow balls. (1) What is the probability that, of the 5 balls selected at random, at least one is orange and at least one is yellow? equation editorEquation Editor (1) What is the probability that, of the 5 balls selected at random, at least two are orange and at least two are yellow?
In: Statistics and Probability
10. The natural unemployment rate in the United States has varied over the last 50 years. According to the Congressional Budget Office, the natural rate was 5.5% in 1960, rose to about 6.5% in the 1970s, and had declined to about 4.8% by 2000. What do you think might have caused this variation?
11. Suppose the Fed begins carrying out an expansionary monetary policy in order to close a recessionary gap. Relate what happens during the next two phases of the inflation-unemployment cycle to the maxim “You can fool some of the people some of the time, but you can’t fool all of the people all of the time.”
In: Economics
Dr. Al Maisari is a veterinarian who sees only dogs and
cats.
In each appointment, he may or may not give the animal a
vaccine.
The two-way frequency table summarizes Dr. Al Maisari's 50
appointments last week.
| Vaccine | no vaccine | |
| dog | 14 | 6 |
| cat | 11 | 19 |
Let dog be the event that a randomly chosen appointment (from the table) involved a dog.
Let vaccine be the event that a randomly chosen appointment (from the table) included a vaccine.
Find the following probabilities. Write your answers as decimals.
p(dog)=
p(vaccine dog)=
p(vaccine l dog)=
In: Statistics and Probability
Kevin and Kira are in a history competition.
(i) In each round, every child still in the contest faces one
question. A child is out as soon as he or she misses one question.
The contest will last at least 7 rounds.
(ii) For each question, Kevin's probability and Kira's probability
of answering that question correctly are each 0.8; their answers
are independent.
Calculate the conditional probability that both Kevin and Kira are
out by the start of round 7, given that at least one of them
participates in round 3.
In: Statistics and Probability
In: Computer Science