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DB Week #5
In the report being prepared for an editorial in the San Francisco Chronicle, the random sample showed 210 out of 300 random households’ own pets. On the surface, these numbers could be divided to show that .7 or 70% of the U.S. population are pet owners, but we can use the .05 level of significance to more accurately represent the data. “The most common level, used to mean something is good enough to be believed, is .95. This means that the finding has a 95% chance of being true” (Creative Research Systems, 2016, para. 5). The .05 significance level. The problem provided is a binomial distribution according to our textbook. “The binomial conditions are met: (a) there are only two possible outcomes (a particular call is either dropped or not dropped), (b) there are a fixed number of trials (6), (c) there is a constant probability of success (.05), and (d) the trials are independent” (Lind et al., 2019, p.168). Under binomial conditions the p ± z√ (p (1 – p)/n) formula can be applied. Then we can plug the data from the problem into the formula and solve: .70 ± 1.96√ (.70 (1 – .70)/300)
.70 ± 1.96√ (.0007)
.70 ± .052
The confidence intervals of this data set are 75.2% and 64.8%. The study by the American Pet Food Dealers Association stated that “63% of U.S. households own pets,” which does not fall within the confidence intervals that were determined. Therefore, the statement is rejected. Based on the people around me and the majority of them being pet owners, I think that they accurately represent the consumer base for the U.S. pet food industry.
While confidence intervals are used in everyday life especially for professionals for things such as test results from a doctor visit or political polls, we also rely on the word of God to give us confidence. Philippians 1:6 states, “Being confident of this very thing, that he which hath begun a good work in you will perform it until the day of Jesus Christ” (King James Version). Since individuals cannot reasonably rely on statistical data for every decision in everyday life, confidence in God and having faith in Him should be our guide. Through prayer and devotion to the word of Christ, we can eliminate the doubts and fears in our lives. Isaiah 41:10 “Fear not, for I am with you; be not dismayed, for I am your God…” (English Standard Version). References
Creative Research Systems. (2016). Significance in statistics and surveys. Creative Research Systems. https://www.surveysystem.com/signif.htm#:~:text=To%20find%20the%20 significance%20level,01%3D
.
Lind, D., Marchal, W., & Wathen, S. (2019). Basic statistics for business & economics. McGraw-Hill Education.
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Related Questions
b) A small-town mechanic says that 8% his customers come in for an oil change. When
1000 samples were drawn from his records, it was found that 6.5% of these came in for
an oil change.
What is the target population?
Does the value 8% refer to the parameter or to the statistic?
Is the value 6.5% a parameter or a statistic?
i.
ii.
iii.
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A simple random sample of 8 employees of a corporation provided the following information.
Employee
Age
Gender
1 2
3
21 37 26
W M W
4
5
6
7 8
44 48 50 25 22
W W M M
M
(a) Determine the point estimate for the average age of all employees.
(b) What is the point estimate for the standard deviation of the population? (Round your answer to four decimal places.)
(c) Determine a point estimate for the proportion of all employees who are female.
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Step 5 of 5: What proportion of the sample did not purchase any lottery tickets? Express your answer as a simplified fraction or as a value rounded to one decimal
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Suppose you select a random sample of 16 students from a population that has mean of µ = 75 and standard deviation of ơ = 20. You want to know what would be considered a ‘typical’ sample mean for a sample of n = 16. To answer your question, you compute the two sample means that define the middle 95% of the distribution of sample means. Show your work, sketch the distribution, and shade in the area of interest. Hint: Sample means that are in the extreme 5% of the distribution (2.5% in each tail of the distribution) are considered ‘atypical’ or ‘extreme.’
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Indicate whether the quantity described above is a population parameter or a sample statistic, and write down the notation.
Hints:
You may type in how you read the notation, instead of using the symbol itself. E,g. you can write "mu" or "xbar" or "phat" or "rho" or "sigma" for the Greek alphabet or special symbol.
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For 0.9588Y = 933.36 + 475, where did you guys get the 475 from?
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The birthweight (in kg) of 55 babies are tabulated in the frequency distribution below:
Birthweight
(kg)
Class Midpoint
Frequency
M
(1– 1.5|
(1.5-2
1.25
6.
1.75
10
(2- 2.5)
2.25
1
(2.5-3)
2.75
15
10
(3-3.5]
3.25
3.
(3.5- 4)
3.75
55
Total
Calculate the relative frequency of the class interval (2 - 2.5).
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three decimal places, if necessary.
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A statistics teacher wants to see if there is any
difference in the performance of students on the final
exam if she gives them orange jelly beans before the
exam. She has a theory that orange jelly beans will
change the results, but she isn't sure in which
direction. She knows that the population mean score
on the exam when students do not have orange jelly
beans is 85 and that exam scores have an
approximately symmetric distribution. She gives
orange jelly beans to 25 randomly selected students
and finds that these students had a sample mean
score of 88 with a sample standard deviation of 5. She
wants to have 99% confidence in her result.
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Why can we not use first differences when we have independent cross sections in two years (as opposed to panel data)?
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A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.05 . If 273 are sampled, what is the probability that the sample proportion will differ from the population proportion by less than 0.03 ? Round your answer to four decimal places.
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Each of a sample of 176 residents selected from a small town is asked how much money he or she spent last week on state lottery tickets. 130 of the residents
responded with $0. The mean expenditure for the remaining residents was $21. The largest expenditure was $210.
Step 3 of 5: What is the mode of the data?
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Problems-2: The following data shows birth weights (oz) from seven consecutive deliveries at
the Johns Hopkins Hospital in April 2019.
121
138
32
100
58
64
a) Calculate the sample mean birth weight:
=74
b) Calculate the sample median birth weight:
=64
c) Calculate the sample standard deviation of these birth weights:
=48.06593
d) Suppose this is a representative sample of births in a given year at Johns Hopkins. Suppose,
instead of a sample of seven values, we have a sample of 100 birth weights. How should the mean,
median, and standard deviation of this sample compare to the same statistics for the sample of
seven birth weights?
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PLEASE ANSWER CORRECTLY FULLY
MAKE SURE THE ANSWER IS 100% RIGHT
NO MISTAKES PLEASE
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Zip Code, Age and Number of Dogs by Person in Petland
Person
Zip
Code
Number
Age
of Dogs
Ann
402
20
0
Bill
805
35
55
2
Carmelo
805
40
5
Dan
402
50
1
Eric
402
20
20
Ferdinand 402
35
55
3
3
Gert
402
20
2
Homer 402
20
0
In-choi 805
100
3
Jimmy
805
60
1
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A rectangle is a four-sided figure that has two sets of parallel sides, so that we have two sides of one length and two sides
of another length; a square is just a special case of a rectangle in which all four sides are the same length. Therefore, the
procedure for calculating area is the same no matter whether we are dealing with a rectangle or a square.
The area of a rectangle is calculated as follows:
Area = base x height = b × h
In this formula, the base is the width of the rectangle and the height is simply how tall the rectangle Is. For example, if we
have a rectangle that is 20 centimeters wide and 10 centimeters tall, its area can be calculated as follows:
Area = 20 cm x 10 cm = 200 cm²
Note the superscript '2' In our answer; this is because we have multiplied centimeters by centimeters. In economics, we
are more likely to be dealing with quantities bought or sold and prices, so don't worry about it too much for our discussion.
The area of a triangle
A triangle is really just a…
arrow_forward
A rectangle is a four-sided figure that has two sets of parallel sides, so that we have two sides of one length and two sides
of another length; a square is just a special case of a rectangle in which all four sides are the same length. Therefore, the
procedure for calculating area is the same no matter whether we are dealing with a rectangle or a square.
The area of a rectangle is calculated as follows:
Area = base x height = b × h
In this formula, the base is the width of the rectangle and the height is simply how tall the rectangle Is. For example, if we
have a rectangle that is 20 centimeters wide and 10 centimeters tall, its area can be calculated as follows:
Area = 20 cm x 10 cm = 200 cm²
Note the superscript '2' In our answer; this is because we have multiplied centimeters by centimeters. In economics, we
are more likely to be dealing with quantities bought or sold and prices, so don't worry about it too much for our discussion.
The area of a triangle
A triangle is really just a…
arrow_forward
A rectangle is a four-sided figure that has two sets of parallel sides, so that we have two sides of one length and two sides
of another length; a square is just a special case of a rectangle in which all four sides are the same length. Therefore, the
procedure for calculating area is the same no matter whether we are dealing with a rectangle or a square.
The area of a rectangle is calculated as follows:
Area = base x height = b × h
In this formula, the base is the width of the rectangle and the height is simply how tall the rectangle Is. For example, if we
have a rectangle that is 20 centimeters wide and 10 centimeters tall, its area can be calculated as follows:
Area = 20 cm x 10 cm = 200 cm²
Note the superscript '2' In our answer; this is because we have multiplied centimeters by centimeters. In economics, we
are more likely to be dealing with quantities bought or sold and prices, so don't worry about it too much for our discussion.
The area of a triangle
A triangle is really just a…
arrow_forward
A rectangle is a four-sided figure that has two sets of parallel sides, so that we have two sides of one length and two sides
of another length; a square is just a special case of a rectangle in which all four sides are the same length. Therefore, the
procedure for calculating area is the same no matter whether we are dealing with a rectangle or a square.
The area of a rectangle is calculated as follows:
Area = base x height = b × h
In this formula, the base is the width of the rectangle and the height is simply how tall the rectangle Is. For example, if we
have a rectangle that is 20 centimeters wide and 10 centimeters tall, its area can be calculated as follows:
Area = 20 cm x 10 cm = 200 cm²
Note the superscript '2' In our answer; this is because we have multiplied centimeters by centimeters. In economics, we
are more likely to be dealing with quantities bought or sold and prices, so don't worry about it too much for our discussion.
The area of a triangle
A triangle is really just a…
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A10
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Taubman et al., (2014) used data collected in the Portland, OR metro area to study the Impact
Medicaid on emergency department (ED) use. The figure below shows the percent of respondents
who have been to the ED at all (left hand side of the figure) and the average number of ED visits
(right hand side of the figure).
The dark blue bars represent the mean for the control group, and the light blue bars add in the
"Medicaid" effect found in the paper. The black "capped" bar represents the confidence interval for
the Medicaid effect.
Percent with Any Visits
50
€30
20
10
O
Any
O O
Any and Total ED Use
Emergency Department Data
Control Mean
Control Mean plus Medicaid Effect
Cl for Medicaid Effect
The results above imply that the price elasticity of demand for emergency department use is
Number of Visits
perfectly inelastic
not perfectly inelastic
perfectly elastic
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2
3
Lunch Spending ($) = x;
28
10
1
15
5
8
606
7
10
618
Z-Scores
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2x+3z = 5 and 3x+2z = 5.
The value of both x and z is
A/
arrow_forward
Please don't provide answer in image format thank you.
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If the E(u|X) does not equal 0.
How can this assumption be relaxed if the sample size grows infinitely?
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Manufacturers of tires report that car tires should be able to last an average of 50,000 miles. A new tire company produces a
different type of tread and tests 100 randomly selected tires. This sample of 100 tires lasted an average of 51,500 miles.
Assuming the new type of tread does not improve the mileage of the tire, 200 sample means were simulated and displayed
on the dotplot.
Simulated Tire Mileage
+++ +++H
47,000
48,000
49,000
50,000
51,000
52,000
53,000
Mean mileage
Using the dotplot and the sample mean mileage, is there convincing evidence that the new type of tread improves the
mileage of the tire?
Yes, because a mean mileage of 51,500 or more occurred only 14 out of 200 times, the mean mileage is statistically
significant. There is convincing evidence the new type of tire tread improves mileage of the tire.
Yes, because a mean mileage of 51,500 or less occurred 186 out of 200 times, the mean mileage is statistically
significant. There is convincing evidence the new type of…
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