7. Sampling Distributions & Confidence Intervals: Mean

In the context of constructing confidence intervals, when is a linear model generally not a good fit for a set of data?

What is the primary purpose of calculating a $confidence interval$ in statistics?

Which of the following is not a conclusion of the central limit theorem?

Given a confidence interval for a population mean, how can you find the point estimate of the mean from the interval endpoints $a$ and $b$?

Based on the statistical model you developed, which of the following best describes a confidence interval for the population mean when the population standard deviation is unknown and the sample size is small?

In Exercises 1–4, a population has a mean mu and a standard deviation sigma. Find the mean and standard deviation of the sampling distribution of sample means with sample size n.

Mu = 790, sigma =48, n = 250

Which of the following best describes the interpretation of a $95\%$ confidence interval for the difference in means when conducting an ANOVA comparing three treatment conditions?

When constructing a 93% confidence interval for a population proportion $p$, what value of $z$ should be used as the critical value?

Which of the following best describes how a confidence interval for the difference in treatment means ($\mu \_1-\mu \_2$) is used in statistical inference?

Suppose a chart shows that a $95\%$ confidence interval for the mean height of a population is $(65,70)$ inches. Which explanation is best supported by these numbers?

Which of the following calculations is not derived from the $confidenceinterval$?

Given the following time series data: $12$, $15$, $14$, $16$, $18$, and using the simple exponential smoothing (SES) method with smoothing constant $\alpha =0.3$, what is the forecast for the next period (period $6$) if the initial forecast for period $1$ is $12$?

In the context of constructing a confidence interval to estimate the number of people who will visit the rink in December of this year, what is the best prediction for the expected number of visitors?

Which of the following is a necessary condition for making a valid statistical inference using $confidence intervals$?

Which of the following best represents the most typical form of a calculated confidence interval for a population mean?