7. Sampling Distributions & Confidence Intervals: Mean

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)?

Which of the following correctly compares the $t$-distribution and $z$-distribution?

For a specific confidence level, what happens to the width of a confidence interval for the mean as the sample size increases (assuming population standard deviation is known)? The confidence interval for the mean is typically given by $\mu \pm z\bullet \frac{\sigma }{\sqrt{n}}$, where $n$ is the sample size.

Which of the following is the correct critical value $z*$ for a confidence level of $70\%$ in a standard normal distribution?

In the context of repeated-measures designs, what value is estimated by constructing a confidence interval using the repeated-measures $t$ statistic?

In the context of the widget cost regression model, what does the $p$-value associated with the $F$ statistic indicate?