Suppose an x distribution has mean μ = 2. Consider two corresponding x distributions, the first based on samples of size n = 49 and the second based on samples of size n = 81.(a) What is the value of the mean of each of the two x distributions?For n = 49, μx =  For n = 81, μx =  (b) For which x distribution is P(x > 2.5) smaller? Explain your answer.The distribution with n = 49 because the standard deviation will be smaller.The distribution with n = 81 because the standard deviation will be smaller.    The distribution with n = 49 because the standard deviation will be larger.The distribution with n = 81 because the standard deviation will be larger.(c) For which x distribution is P(1.5 < x < 2.5) greater? Explain your answer.The distribution with n = 49 because the standard deviation will be larger.The distribution with n = 49 because the standard deviation will be smaller.    The distribution with n = 81 because the standard deviation will be larger.The distribution with n = 81 because the standard deviation will be smaller.

Question
Asked Feb 1, 2020
4 views

Suppose an x distribution has mean μ = 2. Consider two corresponding 

x

 distributions, the first based on samples of size n = 49 and the second based on samples of size n = 81.

(a) What is the value of the mean of each of the two 
x
 distributions?
For n = 49, μ
x
 =  
For n = 81, μ
x
 =  

(b) For which 
x
 distribution is P(
x
 > 2.5) smaller? Explain your answer.
The distribution with n = 49 because the standard deviation will be smaller.The distribution with n = 81 because the standard deviation will be smaller.    The distribution with n = 49 because the standard deviation will be larger.The distribution with n = 81 because the standard deviation will be larger.

(c) For which 
x
 distribution is P(1.5 < 
x
 < 2.5) greater? Explain your answer.
The distribution with n = 49 because the standard deviation will be larger.The distribution with n = 49 because the standard deviation will be smaller.    The distribution with n = 81 because the standard deviation will be larger.The distribution with n = 81 because the standard deviation will be smaller.
 
check_circle

Expert Answer

Step 1

Given
a)
x distribution has mean µ = 2
The mean of the sampling distribution is nothing but the population mean. So
for sample size n = 49 the mean µ = 2
for sample size n  = 81 the mean µ = 2

Step 2

b)
For x distribution P( x > 2.5) 
The standard deviation is inversly proportional to sample size. As the sample size increases the standard deviatio...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Data

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Assuming that the null hypothesis H0: ηd = 0 is true, answer the following questions. a. Why is the ...

A: a.The reason for the probability of paired difference is greater than 0 and equal to 0.5The median η...

question_answer

Q: Understanding the Concepts and Skills In Exercises, we identify the y-intercepts and slopes, respect...

A: a)

question_answer

Q: Suppose that you want to perform a hypothesis test based on independent random samples to compare th...

A: a)Requirements for a pooled t-test:The samples must be independent and drawn randomly from normally ...

question_answer

Q: A group of adult males has foot lengths with a mean of 27.3127.31 cm and a standard deviation of 1.3...

A: According to thumb rule, a value is significantly low if it is 2 standard deviations below mean and ...

question_answer

Q: Out of 1018 respondents , 231 said that second hand smoke is not harmful.   what % of respondents sa...

A: It is given that total number of respondents 1018 and number of second had smoke is not harmful is 2...

question_answer

Q: In each of Exercises, we have stated the purpose for performing a hypothesis test to compare the mea...

A: a)The test hypotheses are,

question_answer

Q: In each of Exercises, we have specified the “tailedness” of a hypothesis test for a population mean ...

A: a)The data  represented “tailedness” of a hypothesis test for a population mean with null hypothesis...

question_answer

Q: Identify the option below that represents dependent events.Select the correct answer below: drawing ...

A: Dependent events:Let A and B be two events. The events A and B are said to be dependent if happening...

question_answer

Q: A hypothesis test, based on a paired sample, is to be performed to compare the means of two populati...

A: In this context, the sample of 15 paired differences contains outlier. However, the removal of outli...