Question

Suppose that you intend to find a 95% confidence interval for a population mean by applying the one-mean z-interval procedure to a sample of size 100.

a. What would happen to the accuracy of the estimate if you used a sample of size 50 instead but kept the same confidence level of 0.95?
b. What would happen to the accuracy of the estimate if you changed the confidence level to 0.90 but kept the same sample size of 100?

Expert Solution

Want to see the full answer?

Check out a sample Q&A here
Blurred answer
Students who’ve seen this question also like:
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Not helpful? See similar books
MATLAB: An Introduction with Applications
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Suppose that you intend to find a 95% confidence interval for a population mean by applying the…

A: a) The one mean z-procedure is used to obtain the 95% confidence interval for a sample of size…

Q: A human resource manager wants to see if there is a difference in the proportion of minority…

A: Confidence Interval: Confidence interval is the interval estimate of the population parameter. It is…

Q: Which of the following would result in the narrowest confidence interval? A sample size of 30 with…

A: Here we will use the concept of confidence interval  and using the formula of confidence interval we…

Q: Suppose that a 95% confidence interval for a population p = the population proportion of men who…

A: Click to see the answer

Q: For a population data set, ở a. What should the sample size be for a 97 % confidence interval for u…

A: Click to see the answer

Q: Suppose that you plan to apply the one-mean z-interval procedure to obtain a 90% confidence interval…

A: It is given that the population standard deviation is 12 and the sample size is 9.

Q: Suppose that you plan to apply the one-mean z-interval procedure to obtain a 90% confidence interval…

A: a. Margin of error: Margin of error is a range of values that lie above and below the sample…

Q: Suppose you want to construct a confidence interval with a margin of error of 0.03 (3%). Find the…

A: The formula for calculating sample size is, n = z2*p^(1-p^)MOE2 Where, z is the z score (default…

Q: If the sample size is reduced by 25%, which of the followings is true about the change in the length…

A: Click to see the answer

Q: Which of the following would result in the widest confidence interval? A sample size of 30 with…

A: Click to see the answer

Q: Which of the following would result in the widest confidence interval? A sample size of 100 with…

A: widest confidence interval for the above is  A sample size of 30 with 99% confidence I have upload…

Q: Which of the following would result in the widest confidence interval? A sample size of 100 with…

A: Which of the following would result in the widest confidence interval? A sample size of 100 with…

Q: Suppose you would like to conduct a survey to determine the yearly consumption of beef by a typical…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A 90% confidence interval for the proportion of Americans with cancer was found to be (0.185,…

A: Click to see the answer

Q: eth wants to determine a 90 percent confidence interval for the true proportion of high school…

A: Click to see the answer

Q: What would be the 95% confidence interval for the population mean if a sample of size 16 has a mean…

A: Given: Sample sizen=16Population standard deviationσ=0.78Sample meanx¯=2.86

Q: Here are summary statistics for randomly selected weights of newborn​ girls: A) n=234​, x=28.4 ​hg,…

A: Given, Since, the sample size is reasonably large therefore z-test can be used. As per…

Q: Beth wants to determine a 90 percent confidence interval for the true proportion p of high school…

A: The required margin of error (E) is less than 0.04. The sample proportion p^ is 0.50 (because…

Q: Hi. How do you calculate this problem? Is there a way to do this on a TI-83? Thanks.

A: Note:Hi, we are solving this problem with manual calculations. Thank you.

Q: A 95 percent confidence interval of the form p̂ ± E will be used to obtain an estimate for an…

A: Click to see the answer

Q: Beth wants to determine a 95 percent confidence interval for the true proportion p of high school…

A: Here we need to find the required sample size inorder to construct a 95% confidence interval for the…

Q: Which of the following would result in the widest confidence interval? a) A sample size of 100 with…

A: Form the above question Which of the following would result in the widest confidence interval The…

Q: Here are summary statistics for randomly selected weights of newborn​ girls: n=201​, x=28.4 ​hg,…

A: Given information- Sample size, n = 201 Significance level, α = 0.02 Sample mean, x-bar = 28.4 hg…

Q: Here are summary statistics for randomly selected weights of newborn​ girls: n=218​,…

A: Click to see the answer

Q: In order to infer on the mean height of children in a school , a sample of 36 students were…

A: Obtain the standard error for the sample mean. The standard error for the sample mean is obtained…

Q: Here are summary statistics for randomly selected weights of newborn​ girls: n=243​, x=27.2 ​hg,…

A: Given: n=243, x=27.2 and s=6.1. Then,The degree of freedom=n-1=243-1=242   So, at 99% confidence…

Q: Which of the following would result in the narrowest confidence interval? O A sample size of 30 with…

A: Given, The values of α and n.

Q: 2.13 The t-value that would be used to construct a 99% confidence interval for the mean with a…

A: We have given that  Sample size = n= 17   , 99% confidence  So, level of significance = alpha = 0.01…

Q: Suppose that the a college wants to have an idea of the average SAT score of the incoming freshman…

A: The confidence level is 0.90, the standard deviation is 310 and margin of error E is 50.

Q: In exploring possible sites for a convenience store in a large neighbourhood, the retail chain wants…

A: Determine whether the given margin of error is appropriate if  the random sample of size n = 100…

Q: Here are summary statistics for randomly selected weights of newborn​ girls: n=188​, x=31.7 ​hg,…

A: From the provided information, Sample size (n) = 188 Sample mean (x̅) = 31.7 Sample standard…

Q: (b) What sample size should be obtained if he wants to be within 4 percentage points with 95%…

A: B) It is given that margin of error (E) is 0.04 and the confidence level is 0.95.

Q: Here are summary statistics for randomly selected weights of newborn​ girls: n = 203​, x = 31.2…

A: given that,sample mean, x =31.2standard deviation, s =6.7sample size, n =203standard error = sd/…

Q: an epidemiologist is womied about the prevalence of the flu in East Vancouver and the potential…

A: Given data, n=331 x=33 E=0.05 z-value at 95% confidence is Zc=1.960 n=?   p=x/n=33/331=0.0997

Q: An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential…

A: If both the expected number of success and expected number of failures are greater or equal to 10,…

Q: An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential…

A: Proportion = p =40/334 = 0.119760479041916 Margin of Error = E = 0.04 Confidence Level = 95…

Q: As an aid in the establishment of personnel requirements, the director of a hospital wishes to…

A: Assume, μ  be the population mean number of admissions per 24-hour period. x be the random variable…

Q: An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential…

A: The known values are, The sample proportion is, Critical values: Using the z-table, the critical…

Q: a. What should the sample size be for a 98% confidence interval for p to have a margin of error of…

A: Given: σ=17.40

Q: Here are summary statistics for randomly selected weights of newborn​ girls: n=228​, x=32.8 ​hg,…

A: Obtain the 90% confidence interval for the mean.   The 90% confidence interval for the mean is…

Q: An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential…

A: Click to see the answer

Q: The following questions are concerned with confidence interval estimation of one population mean.…

A: We need to identify if the given statements are true

Q: In practice, if we don’t know whether the population is normal and our sample size is less than 30,…

A: If we don't know whether the population is normal. In this case we can check it easily by two…

Q: Wants to determine a 80 percent confidence interval for the true proportion p of school students in…

A: Margin of error, E = 0.04 Confidence interval = 80%

Q: Wants to determine a 80 percent confidence interval for the true proportion p of school students in…

A: Given , Margin of  error(E) = 0.04

Q: Wants to determine a 80 percent confidence interval for the true proportion p of school students in…

A: Consider, Sample proportion(p^)=0.5Confidence level = 80%Margin of error (E)=0.04

Q: Wants to determine a 80 percent confidence interval for the true proportion p of school students in…

A: Click to see the answer

Q: Wants to determine a 80 percent confidence interval for the true proportion p of school students in…

A: Here we need to find the sample size associated with an 80% confidence interval with margin of…

Q: Here are summary statistics for randomly selected weights of newborn​ girls: n=183​, x=31.7 ​hg,…

A: From the provided information, Sample size (n) = 183 Sample mean (x̅) = 31.7 hg Sample standard…

Q: Here are summary statistics for randomly selected weights of newborn​ girls: n=217​, x=31.7hg,…

A: Given, n=217,x¯=31.7,s=6.5 The 98% CI is given by…

Knowledge Booster
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
  • MATLAB: An Introduction with Applications
    Statistics
    ISBN:9781119256830
    Author:Amos Gilat
    Publisher:John Wiley & Sons Inc
    Probability and Statistics for Engineering and th...
    Statistics
    ISBN:9781305251809
    Author:Jay L. Devore
    Publisher:Cengage Learning
    Statistics for The Behavioral Sciences (MindTap C...
    Statistics
    ISBN:9781305504912
    Author:Frederick J Gravetter, Larry B. Wallnau
    Publisher:Cengage Learning
  • Elementary Statistics: Picturing the World (7th E...
    Statistics
    ISBN:9780134683416
    Author:Ron Larson, Betsy Farber
    Publisher:PEARSON
    The Basic Practice of Statistics
    Statistics
    ISBN:9781319042578
    Author:David S. Moore, William I. Notz, Michael A. Fligner
    Publisher:W. H. Freeman
    Introduction to the Practice of Statistics
    Statistics
    ISBN:9781319013387
    Author:David S. Moore, George P. McCabe, Bruce A. Craig
    Publisher:W. H. Freeman
  • MATLAB: An Introduction with Applications
    Statistics
    ISBN:9781119256830
    Author:Amos Gilat
    Publisher:John Wiley & Sons Inc
    Probability and Statistics for Engineering and th...
    Statistics
    ISBN:9781305251809
    Author:Jay L. Devore
    Publisher:Cengage Learning
    Statistics for The Behavioral Sciences (MindTap C...
    Statistics
    ISBN:9781305504912
    Author:Frederick J Gravetter, Larry B. Wallnau
    Publisher:Cengage Learning
    Elementary Statistics: Picturing the World (7th E...
    Statistics
    ISBN:9780134683416
    Author:Ron Larson, Betsy Farber
    Publisher:PEARSON
    The Basic Practice of Statistics
    Statistics
    ISBN:9781319042578
    Author:David S. Moore, William I. Notz, Michael A. Fligner
    Publisher:W. H. Freeman
    Introduction to the Practice of Statistics
    Statistics
    ISBN:9781319013387
    Author:David S. Moore, George P. McCabe, Bruce A. Craig
    Publisher:W. H. Freeman