7. Sampling Distributions & Confidence Intervals: Mean

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?

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?

In the context of hypothesis testing, what is the impact of increasing the sample size $n$ on the $p$-value, assuming the effect size remains constant?

True or false? A larger sample size produces a longer confidence interval for $\mu$.

Which of the following is an example of an independent sample?

Which Python module is commonly used to create $confidence intervals$? Select one.

If the confidence level is increased from $90\%$ to $99\%$, what happens to the width of the confidence interval for a population mean (assuming all other factors remain constant)?