Why are sample and population confidence intervals calculated differently?

Expert Solution

Sample is a group of people, objects, or items that are taken from a large population for measurement, The sample should be representative of the population to ensure that we can generalise the findings from the research sample to the population as a whole.

A confidence interval is how much uncertainty there is with any particular statistic.Confidence intervals are often used with a margin or error.It tells how confident you can be that the result from the survey reflect what you would expect to find if it were possible to survey the entire population. Confidence interval mentioned in range for calculated mean like if we get mean 6 , confidence interval will be (5,7).

A confidence interval is an interval of values instead of a single point estimate.The level of confidence corresponds to the expected proportion of intervals that will contain the parameter if many confidence intervals are constructed of the same sample size from the same population. When we calculate sample and confidence interval we cont able to assume range for confidence interval.

Nightingale answered 1 year ago

a) Suppose each of the following confidence intervals were calculated using the same sample. Circle the...

a) Suppose each of the following confidence intervals were calculated using the same sample. Circle the interval that is the lower confidence level. State the sample proportion that was used to construct these intervals. (0.25, 0.35) (0.24, 0.36) b) Suppose you want a confidence interval to be more narrow. What two things can you do to achieve this? c) For a given sample, which would you prefer, a wider interval or a more narrow one? Why? d) Suppose your sample...

1. True or False: Confidence intervals can only be calculated for means

Out of 32 confidence intervals, we would expect that 24 confidence intervals would contain the population...

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1. Develop 90 %, 95 %, and 99% confidence intervals for population mean (µ) when sample...

1. Develop 90 %, 95 %, and 99% confidence intervals for population mean (µ) when sample mean is 10 with the sample size of 100. Population standard deviation is known to be 5. 2. Suppose that sample size changes to 144 and 225. Develop three confidence intervals again. What happens to the margin of error when sample size increases? 3. A simple random sample of 400 individuals provides 100 yes responses. Compute the 90%, 95%, and 99% confidence interval for...

1. Develop 90 %, 95 %, and 99% confidence intervals for population mean (µ) when sample...

1. Develop 90 %, 95 %, and 99% confidence intervals for population mean (µ) when sample mean is 10 with the sample size of 100. Population standard deviation is known to be 5. 2. Suppose that sample size changes to 144 and 225. Develop three confidence intervals again. What happens to the margin of error when sample size increases? 3. A simple random sample of 400 individuals provides 100 yes responses. Compute the 90%, 95%, and 99% confidence interval for...

Purpose: • To create and interpret confidence intervals for the population proportion or population mean. •...

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What are the confidence intervals for a population mean? Provide examples.

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Determine confidence intervals for each of the following: Sample Statistic Sample Size Confidence Level Confidence Interval...

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Use technology to construct the confidence intervals for the population variance sigmasquared and the population standard...

Use technology to construct the confidence intervals for the population variance sigmasquared and the population standard deviation sigma. Assume the sample is taken from a normally distributed population. cequals0.95, sequals34, nequals15

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Why are sample and population confidence intervals calculated differently?

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