true or false and why : There is a 95% chance that a mean of a...
true or false and why : There is a 95% chance that a mean of a second sample from the same population is in the range x+ - ̅1.96∙segma/(square room n) where ̅x is the first sample mean. Assume a population of mean μ and standard deviation σ and both samples have a size of n>> 30.
Homework Answers
False: Because it not quite correct ti say that there is 95% chance that mean of a second sample from the same population is in the given range.
Correct statement: The 95% confidence interval defines a range of values that you can be 95% certain contains the second population mean.
just explain in words 1. Suppose you are drawing a random sample of size n >...
just explain in words
1. Suppose you are drawing a random sample of size n > 0 from n(μ, σ2) where σ 0 is known. Decide if the following statements are true or false and explain your reasoning. Assume our 95% confidence procedure is X - 1.96, X +1.96 小2 Vn a. If (3.2.5.1) is a 95% CI from a particular random sample, then there is a 95% chance that μ is in this interval. b. If (32.5.1) is a...
1. Suppose you are drawing a random sample of size n > 0 from N(μ, σ2)...
1. Suppose you are drawing a random sample of size n > 0 from N(μ, σ2) where σ > 0 is known. Decide if the following statements are true or false and explain your reasoning. Assume our 95% confidence procedure is (X- 1.96X+1.96 Vn a. If (3.2, 5.1) is a 95% CI from a particular random sample, then there is a 95% chance that μ is in this interval. b. If (3.2.5.1) is a 95% CI from a particular random...
In a 95% confidence interval. i 1-0.0s is called the confidence coefficient. A) True lB) False...
In a 95% confidence interval. i 1-0.0s is called the confidence coefficient. A) True lB) False If a 95% confidence interval on the mean has a lower limit of 10 and an upper limit that 95% of the time the true value of the mean is between 10 and 15. ) True B) False For a fixed value of the standard deviation and a fixed sample size, a confidence inte population mean will get longer as the level of confidence...
R problem 1: The reason that the t distribution is important is that the sampling distribution...
R problem 1: The reason that the t distribution is important is that the sampling distribution of the standardized sample mean is different depending on whether we use the true population standard deviation or one estimated from sample data. This problem addresses this issue. 1. Generate 10,000 samples of size n- 4 from a normal distribution with mean 100 and standard deviation σ = 12, Find the 10,000 sample means and find the 10,000 sample standard deviations. What are the...
2. Consider a large population with mean μ and known standard deviation σ = 5. There are two inde...
2. Consider a large population with mean μ and known standard deviation σ = 5. There are two independent simple random samples of this population, one with n 150, and the other with n2 = 400, Denote the two sample means by , and X2, respectively. Let Cli and C12 be the usual 95% confidence intervals, constructed from each of the two samples. What is the probability that at the same time, X E CI2 and X2 E CI?
2....
Which of the following is a true statement for any population with mean μ and standard deviation σ? I. The distribution of sample means for sample size n will have a mean of μ.
Which of the following is a true statement for any population with mean μ and standard deviation σ? I. The distribution of sample means for sample size n will have a mean of μ. II. The distribution of sample means for sample size n will have a standard deviation of. III. The distribution of sample means will approach a normal distribution as n approaches infinity.
The Census Bureau groups data on households into census tracts, where each census tract has a total population of about 4,000 residents. Census tracts should be divided so that the households in the c...
The Census Bureau groups data on households into census tracts,
where each census tract has a total population of about 4,000
residents. Census tracts should be divided so that the households
in the census tracts share certain characteristics, such as
economic status. Even though most tracts are around 4,000
residents, there is some variability, which is the focus of this
lab. In practice, census tracts usually have a population between
1,200 and 8,000 people.
I just need help with the...
When constructing a 95% confidence interval for a population mean μ, what is the most important...
When constructing a 95% confidence interval for a population mean μ, what is the most important condition that must be approximately satisfied so that in 95% of repeated samples the calculated intervals will cover the unknown value μ? A. The population standard deviation must always be small. B. The sample size n must be at least 100 (so that the Central Limit Theorem applies). C. The population from which the sample is drawn must be at least 10 times the...
- The required sample size for the interval estimation of the population mean μ can be...
- The required sample size for the interval estimation of the population mean μ can be computed if we specify the population standard deviation σ, the value of zα/2zα/2based on the confidence level 100(1 − α)% and the desired margin of error E. A) True B) False - In stratified random sampling, the population is first divided up into mutually exclusive and collectively exhaustive groups, called strata. Then simple random samples are drawn from each stratum, which are proportional to...
x, and S1 are the sample mean and sample variance from a population with mean μ|...
x, and S1 are the sample mean and sample variance from a population with mean μ| and variance ơf. Similarly, X2 and S1 are the sample mean and sample variance from a second population with mean μ and variance σ2. Assume that these two populations are independent, and the sample sizes from each population are n,and n2, respectively. (a) Show that X1-X2 is an unbiased estimator of μ1-μ2. (b) Find the standard error of X, -X. How could you estimate...
just explain in words
1. Suppose you are drawing a random sample of size n > 0 from n(μ, σ2) where σ 0 is known. Decide if the following statements are true or false and explain your reasoning. Assume our 95% confidence procedure is X - 1.96, X +1.96 小2 Vn a. If (3.2.5.1) is a 95% CI from a particular random sample, then there is a 95% chance that μ is in this interval. b. If (32.5.1) is a...
1. Suppose you are drawing a random sample of size n > 0 from N(μ, σ2) where σ > 0 is known. Decide if the following statements are true or false and explain your reasoning. Assume our 95% confidence procedure is (X- 1.96X+1.96 Vn a. If (3.2, 5.1) is a 95% CI from a particular random sample, then there is a 95% chance that μ is in this interval. b. If (3.2.5.1) is a 95% CI from a particular random...
In a 95% confidence interval. i 1-0.0s is called the confidence coefficient. A) True lB) False If a 95% confidence interval on the mean has a lower limit of 10 and an upper limit that 95% of the time the true value of the mean is between 10 and 15. ) True B) False For a fixed value of the standard deviation and a fixed sample size, a confidence inte population mean will get longer as the level of confidence...
R problem 1: The reason that the t distribution is important is that the sampling distribution of the standardized sample mean is different depending on whether we use the true population standard deviation or one estimated from sample data. This problem addresses this issue. 1. Generate 10,000 samples of size n- 4 from a normal distribution with mean 100 and standard deviation σ = 12, Find the 10,000 sample means and find the 10,000 sample standard deviations. What are the...
2. Consider a large population with mean μ and known standard deviation σ = 5. There are two independent simple random samples of this population, one with n 150, and the other with n2 = 400, Denote the two sample means by , and X2, respectively. Let Cli and C12 be the usual 95% confidence intervals, constructed from each of the two samples. What is the probability that at the same time, X E CI2 and X2 E CI?
2....
The Census Bureau groups data on households into census tracts,
where each census tract has a total population of about 4,000
residents. Census tracts should be divided so that the households
in the census tracts share certain characteristics, such as
economic status. Even though most tracts are around 4,000
residents, there is some variability, which is the focus of this
lab. In practice, census tracts usually have a population between
1,200 and 8,000 people.
I just need help with the...
x, and S1 are the sample mean and sample variance from a population with mean μ| and variance ơf. Similarly, X2 and S1 are the sample mean and sample variance from a second population with mean μ and variance σ2. Assume that these two populations are independent, and the sample sizes from each population are n,and n2, respectively. (a) Show that X1-X2 is an unbiased estimator of μ1-μ2. (b) Find the standard error of X, -X. How could you estimate...
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