In order to construct a confidence interval for a population mean, it must be the case...

In order to construct a confidence interval for a population mean, it must be the case that the data comes from a population that is normally distributed, or the sample size is large.

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TOPIC:Conditions for constructing the confidence interval of the population mean.

orchestra answered 2 years ago

1. In order to construct a confidence interval for a population mean or proportion, we must...

1. In order to construct a confidence interval for a population mean or proportion, we must have that the sample size is small relative to the population and the sample data must have come from a simple random sample or a randomized experiment. Explain why these conditions are necessary. 2. In order to construct a confidence interval for a population proportion, we must additionally have np(1-p) at least 10. For a population mean, we must additionally have that the population...

Construct a confidence interval for ?? the mean of the differences d for the population of...

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Assuming that the population is normally distributed, construct a 99% confidence interval for the population mean,...

Assuming that the population is normally distributed, construct a 99% confidence interval for the population mean, based on the following sample size of n=7. 1, 2, 3,4, 5, 6,and 30 Change the number 30 to 7 and recalculate the confidence interval. Using these results, describe the effect of an outlier (that is, an extreme value) on the confidence interval. Find a 99 % confidence interval for the population mean. (Round to two decimal places as needed.) Change the number 30...

Assuming that the population is normally distributed, construct a 9090% confidence interval for the population mean...

Assuming that the population is normally distributed, construct a 9090% confidence interval for the population mean for each of the samples below. Explain why these two samples produce different confidence intervals even though they have the same mean and range. Sample A: 11 22 33 33 66 66 77 88 Full data set Sample B: 11 22 33 44 55 66 77 88 Construct a 9090% confidence interval for the population mean for sample A. nothing less than or equals≤muμless...

Assuming that the population is normally distributed, construct a 90% confidence interval for the population mean...

Assuming that the population is normally distributed, construct a 90% confidence interval for the population mean for each of the samples below. Explain why these two samples produce different confidence intervals even though they have the same mean and range. Sample A: 1 1 4 4 5 5 8 8 Sample B: 1 2 3 4 5 6 7 8 a. Construct a 90% confidence interval for the population mean for sample A b. Construct a 90% confidence interval...

Assuming that the population is normally distributed, construct a 90% confidence interval for the population mean,...

Assuming that the population is normally distributed, construct a 90% confidence interval for the population mean, based on the following sample size of n=7. 1, 2, 3, 4, 5 6, and 24 Change the number 24 to 7 and recalculate the confidence interval. Using these results, describe the effect of an outlier (that is, an extreme value) on the confidence interval.

assuming that the population is normally distributed, construct a 99% confidence interval for the population mean,...

assuming that the population is normally distributed, construct a 99% confidence interval for the population mean, based on the following sample size n=6. 1,2,3,4,5 and 29. in the given data, replace the value 29 with 6 and racalculate the confidence interval. using these results, describe the effect of an outlier on the condidence interval, in general find a 99% confidence interval for the population mean, using the formula.

Assuming that the population is normally distributed, construct a 95% confidence interval for the population mean...

Assuming that the population is normally distributed, construct a 95% confidence interval for the population mean for each of the samples below. Explain why these two samples produce different confidence intervals even though they have the same mean and range. Sample A 1 1 2 4 5 7 8 8 Sample B 1 2 3 4 5 6 7 8

Assuming that the population is normally distributed, construct a 99% confidence interval for the population mean...

Assuming that the population is normally distributed, construct a 99% confidence interval for the population mean for each of the samples below. Explain why these two samples produce different confidence intervals even though they have the same mean and range. Sample A: 1 4 4 4 5 5 5 8 Sample B: 1 2 3 4 5 6 7 8 Construct a 99% confidence interval for the population mean for sample A. less than or equalsmuless than or equals Type...

Assuming that the population is normally distributed, construct a 95% confidence interval for the population mean,...

Assuming that the population is normally distributed, construct a 95% confidence interval for the population mean, based on the following sample size of n equals 7. 1, 2, 3, 4, 5, 6, 7, and 23 In the given data, replace the value 23 with 7 and recalculate the confidence interval. Using these results, describe the effect of an outlier (that is, an extreme value) on the confidence interval, in general. Find a 95% confidence interval for the population mean, using...

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