From 0aeb68f98128391044e64d993480d8589aabdd6f Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Metehan=20G=C3=9CNG=C3=96R?= <102655648+gungorMetehan@users.noreply.github.com> Date: Tue, 9 Sep 2025 14:37:26 +0300 Subject: [PATCH] Update inference-one-mean.qmd some typos. --- inference-one-mean.qmd | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/inference-one-mean.qmd b/inference-one-mean.qmd index 7e54a59f..e03378bd 100644 --- a/inference-one-mean.qmd +++ b/inference-one-mean.qmd @@ -46,14 +46,14 @@ In order to go through the example more clearly, let's say that you are only abl ### Observed data @fig-5cars shows a (small) random sample of observations from Awesome Auto. -The actual cars as well as their selling price is shown. +The actual cars as well as their selling price are shown. ```{r} #| label: fig-5cars #| fig-cap: A sample of five cars from Awesome Auto. #| out-width: 70% #| fig-alt: | -#| Photographs of 5 different automobiles. The cars are different color and +#| Photographs of 5 different automobiles. The cars are different colors and #| different makes and models. On top of the image of each car is its price; #| the five prices range from 9600 dollars to 27000 dollars. include_graphics("images/5cars.png") @@ -120,7 +120,7 @@ The distribution of $\bar{x}_{bs}$ for the Awesome Auto cars is shown in @fig-bo ```{r} #| label: fig-bootmeans1mean #| fig-cap: | -#| Because each of the bootstrap resamples respresents a different set of cars, +#| Because each of the bootstrap resamples represents a different set of cars, #| the mean of the each bootstrap resample will be a different value. Each of the #| bootstrapped means is calculated, and a histogram of the values describes the inherent #| natural variability of the sample mean which is due to the sampling process. @@ -247,7 +247,7 @@ terms_chp_19 <- c(terms_chp_19, "SE single mean", "SD of observations") ::: {.guidedpractice data-latex=""} It turns out that the standard deviation of the bootstrapped means from @fig-carsbsmean is \$2,891.87 (a value which is an excellent approximation for the standard error of sample means if we were to take repeated samples from the population). (Note: in R the calculation was done using the function `sd()`.) -The average of the observed prices is \$17,140, ad we will consider the sample average to be the best guess point estimate for $\mu.$ +The average of the observed prices is \$17,140, and we will consider the sample average to be the best guess point estimate for $\mu.$ Find and interpret the confidence interval for $\mu$ (the true average cost of a car at Awesome Auto) using the bootstrap SE confidence interval formula.[^19-inference-one-mean-2] ::: @@ -537,7 +537,7 @@ The extra thick tails of the $t$-distribution are exactly the correction needed #| Two symmetric bell-shaped curves on top of one another. #| One is a normal curve with smaller tails and a higher peak in #| the middle. The other is a t-distribution with longer tails, -#| meaning that there are more more observations far from the +#| meaning that there are more observations far from the #| center of a t-distribution than of a normal distribution. #| fig-asp: 0.5 #| out-width: 60%