Is it true that the Sample means are less variable than individual observations as n→∞ ?...

Is it true that the Sample means are less variable than individual observations as n→∞ ? Explain

Solutions

Expert Solution

ANSWER::

NOTE:: I HOPE YOUR HAPPY WITH MY ANSWER....***PLEASE SUPPORT ME WITH YOUR RATING...

***PLEASE GIVE ME "LIKE"...ITS VERY IMPORTANT FOR ME NOW....PLEASE SUPPORT ME ....THANK YOU

orchestra answered 1 year ago

Next > < Previous

Related Solutions

If n>=2, prove the number of prime factors of n is less than 2ln n.

If the price is less than the average total cost but higher than the average variable...

If the price is less than the average total cost but higher than the average variable cost, then the firm is making a _________. a. loss and is making a negative contribution to fixed costs b. loss but will continue to produce in the short-run c. loss and will shut down in the short-run d. profit What two types of market scopes did Michael Porter use in developing his generic strategies model? Broad and narrow. Cost leadership and focus. Benefit...

4) A random sample of 42 observations was made on a variable XX. The sample mean...

4) A random sample of 42 observations was made on a variable XX. The sample mean was found to be 7.37 and the sample variance was found to be 5.53. Construct a 99% confidence interval for the expected value (μμ) of XX. Interpret the confidence interval. Test the null hypothesis H0:μ=14.5H0:μ=14.5 against the alternative hypothesis H1:μ>14.5H1:μ>14.5 using a 10% significance level. State any assumptions that you needed to make in order for your answers to parts a. and c. to...

n order to compare the means of two populations, independent random samples of 475 observations are...

n order to compare the means of two populations, independent random samples of 475 observations are selected from each population, with the following results: Sample 1 Sample 2 ?⎯⎯⎯1=5228 ?⎯⎯⎯2=5165 ?1=120 ?2=160 (a) Use a 97 % confidence interval to estimate the difference between the population means (?1−?2). ≤(?1−?2)≤ (b) Test the null hypothesis: ?0:(?1−?2)=0 versus the alternative hypothesis: ??:(?1−?2)≠0. Using ?=0.03, give the following: (i) the test statistic ?= 1.963 (ii) the positive critical ? score (iii) the negative...

Find the probability that the sample mean is less than 984 if a sample of size...

Find the probability that the sample mean is less than 984 if a sample of size 100 is taken from a population with a mean of 1000 and a standard deviation of 300.

A random sample of n = 25 observations is taken from a N(µ, σ ) population....

A random sample of n = 25 observations is taken from a N(µ, σ ) population. A 95% confidence interval for µ was calculated to be (42.16, 57.84). The researcher feels that this interval is too wide. You want to reduce the interval to a width at most 12 units. a) For a confidence level of 95%, calculate the smallest sample size needed. b) For a sample size fixed at n = 25, calculate the largest confidence level 100(1 −...

If a microscope has a resolving power of 2um (micrometers) it means: a) Objects less than...

If a microscope has a resolving power of 2um (micrometers) it means: a) Objects less than 2 um in size cannot be seen, are invisible. b) Objects further than 2 um apart look like one object. c) Objects closer than 2 um apart, look like one object. d) Objects greater than 2 um in size cannot be seen, are invisible. Which of the following is not associated with a prokaryotic cell? a) Cell wall. b) Cell membrane. c) Nucleus. d)...

A sample of n = 36 observations is drawn from a normal population, with = 500 and =...

A sample of n = 36 observations is drawn from a normal population, with = 500 and = 42. Find P(500 < X̅ < 510). a. 0.0764 b. 0.8756 c. 0.9236 d. 0.7556 e. 0.4236

1. A sample of data with n = 61 observations is used to run a multiple...

1. A sample of data with n = 61 observations is used to run a multiple regression with 5 independent variables. If this data set has SST = 1232.4 and SSE = 288.5, what is the value of the multiple coefficient of determination? Round your answer to three decimal places. 2. A sample of data with n = 51 observations is used to run a multiple regression with 6 independent variables. If this data set has SST = 1794.6 and...

Suppose a random sample of n = 5 observations is selected from a population that is...

Suppose a random sample of n = 5 observations is selected from a population that is normally distributed, with mean equal to 7 and standard deviation equal to 0.33. (a) Give the mean and standard deviation of the sampling distribution of x. (Round your standard deviation to four decimal places.) mean standard deviation (b) Find the probability that x exceeds 7.3. (Round your answer to four decimal places.) (c) Find the probability that the sample mean x is less than...

Subjects