Question

Question 1: In a large city, 46% of adults support the local football team building a...

Question 1: In a large city, 46% of adults support the local football team building a new stadium. If a poll is taken from a random sample of 80 adults in the large city, which of the following properly describes the sampling distribution of the sample proportion of adults who support the stadium?

A) Mean: 36.8, Sigma P-hat: 4.46, the distribution is approximately normal.

B) Mean: 36.8, Sigma P-hat: 4.46, shape of the distribution is unknown.

C) Mean: 0.46, Sigma P-hat: 0.056, the distribution is approximately normal.

D) Mean: 0.46, Sigma P-hat: 0.056, shape of the distribution is unknown.

E) Mean: 43.2, Sigma P-hat: 4.46, the distribution is binomial.

Question 2: Which of the following statements is true?

A) A parameter is a number that describes some characteristic of a sample.

B) An unbiased estimator is any statistic that is taken from a sample chosen by random methods.

C) A sampling distribution is the distribution of a statistic calculated from all possible samples of the same size from the same population.

D) The variability of a population distribution will decrease as the sample size increases.

E) A normal approximation can always be used for the sampling distribution of P-hat as long as the sample size is greater than 30

Question 3: The weight of a single bag checked by an airplane passenger follows a distribution that is right skewed with a mean of 38 pounds and a standard deviation of 6.2 pounds. If a random sample of 96 bags is selected, what is the probability that the average weight of the bags exceeds 40 pounds?

A) 0.0008

B) 0.0011

C) 0.3735

D) 0.9992

E) It is not appropriate to use a normal distribution to calculate probability in this situation.

Homework Answers

Answer #1

1)

np= 36.8000
n(1-p)= 43.2000
here population proportion=     p= 0.4600
sample size       =n= 80
std error of proportion=σp=√(p*(1-p)/n)= 0.056

C) Mean: 0.46, Sigma P-hat: 0.056, the distribution is approximately normal.

2)

C) A sampling distribution is the distribution of a statistic calculated from all possible samples of the same size from the same population.

3)

for normal distribution z score =(X-μ)/σ
here mean=       μ= 38
std deviation   =σ= 6.2000
sample size       =n= 96
std error=σ=σ/√n= 0.6328
probability =P(X>40)=P(Z>(40-38)/0.633)=P(Z>3.16)=1-P(Z<3.16)=1-0.9992=0.00080
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
According to a study conducted in one city, 29% of adults in the city have credit...
According to a study conducted in one city, 29% of adults in the city have credit card debts of more than $2000. A simple random sample of n=100 adults is obtained from the city. Describe the sampling distribution of p , the sample proportion of adults who have credit card debts of more than $2000. Select one: a. Approximately normal; μp = 0.29, σp = 0.0021 b. Exactly normal; μp = 0.29, σp = 0.045 c. Binomial; μp = 29,...
According to a survey in a​ country, 2727​% of adults do not own a credit card....
According to a survey in a​ country, 2727​% of adults do not own a credit card. Suppose a simple random sample of 900900 adults is obtained. Complete parts​ (a) through​ (d) below. ​(a) Describe the sampling distribution of ModifyingAbove p with caretp​, the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of ModifyingAbove p with caretp below. A. Approximately normal because n less than or...
According to a survey in a​ country, 23​% of adults do not own a credit card....
According to a survey in a​ country, 23​% of adults do not own a credit card. Suppose a simple random sample of 400 adults is obtained. Complete parts​ (a) through​ (d) below. a) Describe the sampling distribution of ModifyingAbove p with caretp​, the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of ModifyingAbove p with caretp below. A. Approximately normal because n less than or...
1. Suppose that in a very large city 7.2 % of the people have more than...
1. Suppose that in a very large city 7.2 % of the people have more than two jobs. Suppose that you take a random sample of 80 people in that city, what is the probability that 7 % or less of the 80 have more than two jobs? 2. Suppose that you take a sample of size 20 from a population that is not normally distributed. Can the sampling distribution of x̄ be approximated by a normal probability distribution?
A random variable X is normally distributed. It has a mean of 254 and a standard...
A random variable X is normally distributed. It has a mean of 254 and a standard deviation of 21. List the givens with correct symbols: ? (σ N X̄ μ s X p n) = 254 ? (X̄ n σ s X p μ N) = 21 a) If you take a sample of size 21, can you say what the shape of the sampling distribution for the sample mean is?   ? Yes No Why or why not? Check all...
Suppose a simple random sample of size nequals=6464 is obtained from a population that is skewed...
Suppose a simple random sample of size nequals=6464 is obtained from a population that is skewed right with mu equals 88μ=88 and sigma equals 24σ=24. ​(a) Describe the sampling distribution of x overbarx. ​(b) What is Upper P left parenthesis x overbar greater than 91.9 right parenthesisP x>91.9​? ​(c) What is Upper P left parenthesis x overbar less than or equals 81.55 right parenthesisP x≤81.55​? ​(d) What is Upper P left parenthesis 83.8 less than x overbar less than 95.2...
Question 8: Daren and Josh are pretty good free throw shooters. Daren makes 75% of the...
Question 8: Daren and Josh are pretty good free throw shooters. Daren makes 75% of the free throws he attempts. Josh makes 80% of his free throws. Suppose we take separate random samples of 50 free throws each from Daren and Josh, and record the proportion of free throws that are made by each. Which of the following best describes the sampling distribution of pˆD − pˆJ ? A) Strong skew, with mean -0.05 and standard deviation 0.083 B) Approximately...
According to a survey in a​ country, 39​% of adults do not own a credit card....
According to a survey in a​ country, 39​% of adults do not own a credit card. Suppose a simple random sample of 300 adults is obtained. Complete parts​ (a) through​ (d) below. ​(a) Describe the sampling distribution of ModifyingAbove p with caret​, the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of ModifyingAbove p with caret below. A. Not normal because n less than or...
According to a survey in a​ country, 27​% of adults do not own a credit card....
According to a survey in a​ country, 27​% of adults do not own a credit card. Suppose a simple random sample of 500 adults is obtained. Complete parts​ (a) through​ (d) below. ​(a) Describe the sampling distribution of ModifyingAbove p with caretp​, the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of ModifyingAbove p with caretp below. A.Approximately normal because n less than or equals...
A random sample of n = 81 observations is drawn from a population with a mean...
A random sample of n = 81 observations is drawn from a population with a mean equal to 15 and a standard deviation equal to 9 . Complete parts a through g below. a. Give the mean and standard deviation of the? (repeated) sampling distribution x overbar . mu Subscript x overbar equalsnothingsigma Subscript x overbar equalsnothing ?(Type integers or? decimals.) b. Describe the shape of the sampling distribution of x overbar . Does this answer depend on the sample?...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT