4. Two populations are surveyed with simple random samples. A sample of size n is used for population I, which has a population standard deviation ; a sample of size 2 2n is used for population II, which has a population standard deviation σ-= 2σι. Ignoring finite population corrections, in which of the two samples would you expect the estimate of the population mean to be more accurate?

Question
4. Two populations are surveyed with simple random samples. A sample of size n
is used for population I, which has a population standard deviation ; a sample of
size 2 2n is used for population II, which has a population standard deviation
σ-= 2σι. Ignoring finite population corrections, in which of the two samples
would you expect the estimate of the population mean to be more accurate?
Expand
Transcribed Image Text

4. Two populations are surveyed with simple random samples. A sample of size n is used for population I, which has a population standard deviation ; a sample of size 2 2n is used for population II, which has a population standard deviation σ-= 2σι. Ignoring finite population corrections, in which of the two samples would you expect the estimate of the population mean to be more accurate?

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

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.
Tagged in
Math
Statistics

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Could you help me with these questions in regaurds to the table provided? (2) Calculate covariance b...

A: Click to see the answer

Q: 1). How would you measure both “general knowledge” and “judgment” (what are your operational definit...

A: 1)The “general knowledge” and “judgement” of the participants can be measured by a series of tests g...

Q: Age 18-23 24-29 30-35 36-41 42-47 48-53   Male 2 2 3 1 2 1 11 Female 5 3 4 3 1 3 19   7 5 7 4 ...

A: Given data of male and female people with in the mentioned age groups as shown below.The total numbe...

Q: A linear regression was performed on a bivariate data set with variables x and y. Analysis by a comp...

A: Note: Since in this question there are 4 parts, but we are authorized to answer only up to three par...

Q: Let z=a be a positive z-score in a standard normal distribution such that the area between z=-a and ...

A: Normal distribution:A random variable X is said to follow a normal distribution if the probability d...

Q: A researcher wants to investigate whether mindfulness training improves ability for employees to not...

A: A dependent variable is a variable which is being tested and measured in any scientific experiment. 

Q: In a normal distribution with mean 3 and variance 49, what are the upper and lower limit scores for ...

A: The given information is that the scores distributed normally with mean 3 and variance is 49. The st...

Q: In a survey of 4061 ​adults, 738 say they have seen a ghost. Construct a​ 99% confidence interval fo...

A: In this question, it has been given that 738 people out of 4061 people have seen the ghost, we have ...

Q: 1. In a random sample of 15 CD players brought in form repair, the average repair cost was $80 and t...

A: It is given that the average repair cost (mean) is $80, sample standard deviation s is $14, the samp...

Q: a. Which of the six correlations above are statistically significant (i) if you test each correlatio...

A: We have been given alpha  = 0.05 which implies that the probability of inferring that there is a cor...

Q: Need help with (c) and (d) Mist (airborne droplets or aerosols) is generated when metal-removing flu...

A: (c) Null and alternative hypotheses:Null hypothesis:H0: β1 = 0.6Alternative hypothesis:Ha: β1 < 0...

Q: How do you calculate a coefficient of correlation of two indexes’ returns?

A: Let the two indexes’ returns be A and B.The coefficient of correlation measures the degree to which ...

Q: A research group claims that 20% of patients with dementia never develop full Alzheimer's. In a simp...

A: According to the given question, to test the hypothesis that the research group claims that 20% of p...

Q: Simple random sampling uses a sample of size from a population of size to obtain data that can be us...

A: The population size is denoted by ‘N’ and the sample size is denoted by ‘n’.Let the number of differ...

Q: Var Adn Cater Graded Assignment 3 ue: 08/01 Plesse, show your work ond write your answers in full se...

A: Preliminary calculations:The probability distribution is constructed as follows.

Q: Linear Programming Problem A manufacturer of three models of tote bag must determine the production ...

A: The provided data is,The available time for the respective production departments is,Cutting: 450 ho...

Q: 2. Previously, you studied linear combinations of independent random variables. What happens if the ...

A: Consider the provided information:μx ≈ 7.34,      σx ≈ 6.55,      μy ≈ 13.19,      σy ≈ 18.57,      ...

Q: You are given the sample mean and the population standard deviation. Use this information to constru...

A: Confidence interval:The formula of confidence interval for the population mean when population stand...

Q: Let x be the average number of employees in a group health insurance plan, and let y be the average ...

A: (a)The scatter diagram for the provided data can be plotted using Excel.The steps are given below:En...

Q: Find the probability of an event E if the odds for E is equal to the odds against

A: Odds of an event:The odds an event is given by the ratio of the probability of the event to its prob...

Q: In a recent survey conducted by the International Nanny Association, 4,176 nannies were placed in a ...

A: Yes, it is appropriate to divide 24 by 4,176.

Q: Question B

A: B)The variables whose level are set by the experimenter is the independent variable, which is called...

Q: Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of ...

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you. ...

Q: An office has three smoke detectors. In case of fire, each detector has probability 0.9 of detecting...

A: Probability of at least one event occurring:It is given that there are three smoke detectors and eac...

Q: Question b

A: B)The variables whose level are set by the experimenter is called as the factor of an experiment. It...

Q: Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.† An insurance com...

A:  (a) Level of significance:It is given that to test whether the percentage of wheat crop lost to hai...

Q: 2. In a lab experiment, students estim is known to have a true value of 5% weight by volume, but stu...

A: Let X be the concentration estimate. X follow a normal distribution with mean 5% and standard deviat...

Q: Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of ...

A: Hello there! There are more than three sub parts in the given quesiton. According to our policies ca...

Q: a survey found that 21% of Americans watch fireworks on television on July 4.  Find the mean, varian...

A: According to the given question, a survey found that 21% of Americans watch fireworks on television ...

Q: Five children aged 2, 3, 5, 7 and 8 years old weigh 14, 20, 32, 42 and 44 kilograms respectively. Fi...

A: Let x be the age of children and y be the weight of children.The equation of the regression line is:

Q: How to determine Estimate the P-value.

A: Introduction:P-value: The P-value is the probability of obtaining a test statistic value as extreme ...

Q: Q5. You are considering two investment choices: a. 1 year CD that pays 2% for sure; b. investing in ...

A: It is provided that the investment in CD has return of 2% for sure.So, the mean return of this inves...

Q: Do you want to own your own candy store? Wow! With some interest in running your own business and a ...

A: (a)Using the provided data, the sample mean and standard deviation can be calculated using Excel fun...

Q: In a study of cell phone usage and brain hemispheric dominance, an Internet survey was e-mailed to 6...

A: The provided details:

Q: Select the statistic test that best fits each description. Comparison of mean reading test scores by...

A: Introduction to one-way ANOVA:One-way ANOVA is a statistical method for testing hypotheses regarding...

Q: 2.) Two distinct fair dice are rolled at the same time and the number of dots appearing on both are ...

A: Probability that the sum is 3It is possible only in following combinations:Dice one has 1 dice and d...

Q: Listed below are the number of cricket chirps in 1 min and the corresponding temperatures in degrees...

A: In this question we have given the data about no. of chirps in 1 min and the corresponding temperatu...

Q: 1. A committee of eight people must choose a president, a vice president and a secretary. In how man...

A: Number of ways three positions can be chosen:When there are n items, the number of ways x items can ...

Q: Question attached. Can the proof be shown by contradiction?  Any help would be appreciated.

A: You've guessed correctly. This can be proved by contradiction as you'll see in the ensuing steps.

Q: 4 (continued). Currently, Melvin has equipped the Club of Ad Hominem. 20% of the time he swings the ...

A: The given information is not sufficient to solve all the subparts. More information is required to s...

Q: (c) Compute the sample correlation coefficient r for each of the following data sets and show that r...

A: Sample correlation coefficient:The Karl Pearson’s product-moment correlation coefficient or simply, ...

Q: Using the data below, determine whether the proportion for each group is equal using a 5% significan...

A: According to the given question, to test whether the proportion for each group is equal using a 5% l...

Q: How much does a sleeping bag cost? Let's say you want a sleeping bag that should keep you warm in te...

A: (a)Using the provided data, the sample mean and standard deviation can be calculated using Excel fun...

Q: An economist claims that the proportion of people who plan to purchase a fully electric vehicle as t...

A: The provided information are: Sample size (n) = 750Hypothesised proportion (po)=0.65From the provide...

Q: Need all parts, a,b,and c Let X denote the data transfer time (ms) in a grid computing system (the t...

A: (a) Finding the values of α and β :The random variable X represents the data transfer time in a grid...

Q: A researcher wants to test to see if husbands are significantly older than their wives. To do this, ...

A: Paired t-test statistic:In order to test a hypothesis regarding whether the difference between a pai...

Q: A random sample of 30 binomial trials resulted in 12 success. Test the claim that the population por...

A:  Hi, since the problem posted by you contains multiple sub-parts, we are answering the first three s...

Q: 3. In a survey of 209 Montana residents, 61 reported their financial status was worse than a year ag...

A: (a) Computing the point estimate of population proportion:The point estimate of population proportio...

Q: There are several possible explanations for the existence of a statistical relationship between two ...

A: The existence of a statistical relationship between two variables can be due to several factors that...

Q: Find the​ mean, median, and mode of the​ data, if possible. If any of these measures cannot be found...

A: The sample data of seven admission test scores for a professional school is provided.Here, n = 7.The...