Question
In: Statistics and Probability
Q1. Consider the population of adult females resident in Melbourne. Our focus is on the population...
Q1. Consider the population of adult females resident in Melbourne. Our focus is on the population mean height. Assume we know ? (population standard deviation) is 25, but we do not know the population mean, µ. We take a sample of adult females resident in Melbourne (n=100) and calculate the sample mean height as 70 cm.
- Write down the distribution of X, female height.
- Write down the distribution of X. Are you relying on any theorems in your answer? If yes explain.
- Derive the 95% confidence interval around the sample mean.
- In your answer to iii) will the specific confidence interval you have derived contain the population mean? Explain carefully.
Solutions
orchestra answered 2 years agoRelated Solutions
Q1. Consider the population of adult females resident in Melbourne. Our focus is on the population...
Q1. Consider the population of adult females resident in
Melbourne. Our focus is on the population mean height. Assume we
know ? (population standard deviation) is 25, but we do not know
the population mean, µ. We take a sample of adult females resident
in Melbourne (n=100) and calculate the sample mean height as 70
cm.
i) Write down the distribution of X, female height.
ii) Write down the distribution of Are you relying on any
theorems in your answer?...
Consider the population of adult females resident in Melbourne. Our focus is on the population mean...
Consider the population of adult females resident in Melbourne.
Our focus is on the population mean height. Assume we
know ? (population standard deviation) is
25, but we do not know the population mean, µ. We take a
sample of adult females resident in Melbourne (n=100) and calculate
the sample mean height as 70 cm.
Write down the distribution of X, female height.
Write down the distribution of . Are you relying on
any theorems in your answer? If yes...
The population of adult females resident in Melbourne. Our focus is on the population mean height....
The population of adult females resident in Melbourne. Our focus
is on the population mean height. Assume we know
? (population standard deviation) is 25, but we do
not know the population mean, µ. We take a sample of adult females
resident in Melbourne (n=100) and calculate the sample mean height
as 70 cm.
Write down the distribution of X, female height.
Write down the distribution of X. Are you
relying on any theorems in your answer? If yes explain....
Q1. Consider the population of adult female residents in Melbourne. (Given the implausibility of the numbers...
Q1. Consider the population of adult female residents in
Melbourne. (Given the implausibility of the numbers provided below
– maybe you would prefer to think of the population as that of
planet Jupiter rather than Melbourne). Our focus is on the
population mean height. Let height be called X. Assume we know ?
(population standard deviation) is 25, but we do not know the
population mean, µ. We take a sample of adult female residents in
Melbourne (n=100) and calculate...
The average hemoglobin count in healthy adult females is approximately normal, with a population mean of...
The average hemoglobin count in healthy adult females is
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18
22
20
16
19 14
20
15
19
17
20 18
a. Find the sample mean and standard deviation.
b. At alpha = 0.01 does this indicate that this patient has a
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Consider below dataframe, df2, which provides the number of males and females in a population as...
Consider below dataframe, df2, which provides the number of
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breakdown. Provide python codes to calculate following
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(2.a) For a randomly selected person from this population,
probability of being female ("F")
(2.b) For a randomly selected person from this population,
probability of being working class ("working")
(2.c) For a randomly selected person from this population,
joint probability of being male ("M") and middle class
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df2 = pd.DataFrame({"M": [30,250,20],...
A small town has 7000 adult males and 5000 adult females. A sociologist conducted a survey...
A small town has 7000 adult males and 5000 adult females. A
sociologist conducted a survey and found that 60% of the males and
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(a) What is the probability the person is a male?
(b) What is the probability the person drinks heavily?
(c) What is the probability the person is a male or drinks
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(d) What is the...
Consider an economy where the rate of unemployment is 6%, the adult population is 40 million...
Consider an economy where the rate of unemployment is 6%, the
adult population is 40 million and the number of employed is 24
million. Then the labour force participation rate is equal to:
Select one:
a. 65.50%
b. 67.28%
c. 70.52%
d. 63.82%
Consider a country with 500 adult population in 2018. Suppose in the year 2018, the labor...
Consider a country with 500 adult population in 2018. Suppose in
the year 2018, the labor force
participation rate is unknown but the employment rate is 60%.
Suppose further that in the year 2019,
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80%. If the labor force participation
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unemployed remained the same, what
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(a)...
The heights of an adult females are normally distributed with a mean of 150 cm and...
The heights of an adult females are normally distributed with a
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Find PX ≤ 160
Find P140<X<170
A telemarketer is a person who makes phone calls to prospective
customers to promote sales of company’s products or services. The
probability of a telemarketer in AZA Boutique Design in making a
sale on a customer call is 0.2. Let X be
the...
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