By how many times does the sample size have to be increased to decrease the margin of error by a factor of 1/2​? The sample size must be increased by a factor of nothing to decrease the margin of error by a factor of 1/2 .

Q: When we sample from an infinite population, what happens to the standard error of the mean if the…

A: Standard Error: Standard Error increases if sample size decreases. Standard Error decreases if…

Q: By how much the sample size n be increased if the width of the CI (T± za/2%) is to be halved? Show…

A: Given, The confidence interval is x¯±zα2σn Here, n is the sample size.

Q: As the sample size increases, the variability among the sample means O a. increases O b. depends…

A: The variability of sample mean is obtained by calculating the standard error. SE=σn where n is the…

Q: If the standardized mortality ratio from a textile worker industry were 4.0 or 400% and the…

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Q: The mean ±1 sd of ln [calcium intake (mg)] among 25 females, 12 to 14 years of age, below the…

A: The pooled variance is, sp2=n1-1s12+n2-1s22n1+n2-2=25-10.642+40-10.76225+40-2=0.5136 The pooled…

Q: Suppose the parent population X from which we are about to sample is exponential with E(X) = 2. Let…

A: here given , parent population follow exponential distribution with mean = 2 for exponential…

Q: Question 2: For the purpose of illustrating the procedures, assume we know that 70% of a population…

A: Sample 1:There are 21 individuals in the first sample who believe in climate change The sample…

Q: Is the ratio of the number of times an event actually occurs to the total number of trials or times…

A: The Theoretical Probability is the probability calculated based on reasoning and Experimental…

Q: The variance of a series of numbers 2, 3, 11 and x is 12 . Find the value of x.

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Q: When the size of samples gets larger, the standard error of the sample means…

A: Solution Since sample size (n) is inversely proportional to standard error, The standard error…

Q: The mean ±1 sd of ln [calcium intake (mg)] among 25 females, 12 to 14 years of age, below the…

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Q: What is the formula for t RATIO FOR TWO POPULATION MEANS (TWO INDEPENDENT SAMPLES)?

A: To compare population means of two independent samples t-test is used. The null hypothesis is: The…

Q: When a sample size from the population is n=1 than the standard error will always equal the

A: Given, Sample size from the population is n = 1

Q: Over the first 4 years, species A has grown more than species B. Over the first 4 years, species B…

A: From the graphs, it can be seen that in first four years, with time, value of both species A and…

Q: A random sample of medical files is used to estimate the proportion p of all people who have blood…

A: Margin of error(E), E=z×p×qn From the above E, find n, n=zE2×p×q Here, E=0.04 There is no…

Q: the margine of error is always greater than or equal to the standard error?

A: In estimating from a random sample, the difference between an estimator and a parameter can be…

Q: random sample of about 1000 people to estimate the mean of some quantity over a population of…

A: A confidence interval estimate is an interval estimate that includes the unknown population…

Q: Suppose you wish to determine the proportion of college students in your state who receive some form…

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Q: A researcher at a major clinic wishes to estimate the proportion of the adult population of the…

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Q: Two vaccines against measles are being tested. It is important to know the difference in success…

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Q: If you want to be 95% confident of estimating the population proportion to within a sampling error…

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Q: The average value of y=v(x) is 4 for 2≤x≤5 and is 10 for 5≤x≤12. What is the average value of v(x)…

A: Given,  The average value of y=v(x)  is  4  for  2 ≤ x ≤ 5   The average value of y=v(x)  is  10…

Q: A random sample of 525 people was taken from a very large population. 225 of the people in the…

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Q: a one way factor anova produces ss between =120, ss within = 30 , and df = 2, 15. For this analysis,…

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Q: A samplê proportion of 0.43 is found. To determine the margin of error for this statistic, a…

A: Margin of error (E) = Width / 2

Q: The claim is that the proportion of peas with yellow pods is equal to 0.25 (or 25%). The sample…

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Q: tion, the standard distance between a sample mean and the population mean is 5 points for samples of…

A: The formula of standard error: SE=sn Now,  the standard distance between a sample mean and the…

Q: the rate of 2 per rupee and those less than 18 cms. at 3 per rupee and those more The length of…

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Q: Repeat the process that you performed on the last problem for a) samples of size 20. Note the SE of…

A: From the given information we find the standard error and compare for sample size .

Q: A researcher at a major clinic wishes to estimate the proportion of the adult population of the…

A: We have to find correct answer for given question..

Q: The population mean will always be the same as the mean of all possible X that can be computed from…

A: sample mean converges to population mean only when the sample size is large .

Q: If the F ratio in an ANOVA is more extreme than the cutoff score, what does this suggest?

A: in ANOVA test our null hypothesis states that there is no significant difference between means of…

Q: For SRSWOR (N,n), find the ratio estimator of population mean. Show that the estimator is biased

A: Given information: The population size is N. The sample size is n. The sample is selected using…

Q: By how many times does the sample size have to be increased to decrease the margin of error by a…

A: Margin of Error- In the theory of probability and statistics, there is a inverse relation between…

Q: How large a sample is required to be 90% confident that our estimate of population mean is not off…

A: Given  ɑ=0.10, σ,=0.20, MOE=0.03

Q: A sample is selected from a population with μ = 50 and σ = 12. If the sample mean of M = 56 produces…

A: Given  The population mean      =  50 The standard deviation    =  12 The sample mean   M      =…

Q: If you want to be 99% confident of estimating the population proportion to within a sampling error…

A: Given information Error = 5% = 0.05 Confidence level = 0.99

Q: A sample obtained from a population with σ = 12 has a standard error of σx̅ = 2 points. How many…

A: We have given that,  The population standard deviation (sigma) = 12 And standard error (sigmax) = 2…

Q: When trying to determine how many samples are needed to perform an experiment, the desired accuracy…

A: It is given that margin of error (E) is 0.05 and the confidence level is 0.95.

Q: A random sample of 930 in size is taken from a population with a mean of 6250 and unknown variance.…

A: Givensample size(n)=930Mean(μ)=6250sample Variance(s2)=910

Q: The guaranteed average life of a certain type of electric bulbs is 1500 hrs with a S.D of 120 hrs.…

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Q: As the sample size increases, the variability among the sample means O a. decreases O b. depends…

A: As the sample size increases the variability among the sample mean ?

Q: From a population of 10,000 individuals of a certain town, what sample size is needed in order to…

A: Yamane's formula can be used to determine the minimum sample size required for the study with…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.