Question
The following questions concern the built-in R dataset called “mtcars”. First, read in the dataframe using the following code: data(“mtcars”) and inspect the first 6 lines using the head() command. We observed last class that fuel efficiency (which we measured using the mpg variable) varied largely by car transmission type.
a. To estimate fuel efficiency by transmission type, use the subset command to split the data into automatic and manual cars (e.g., manual<-subset(mtcars, mtcars$am==1). You should have three different dataframes.
b. Calculate the sample size for the manual and automatic samples you created dataframes for in part a. How many cars for each transmission type are there?
c. Calculate your point estimate for the sample mean of mpg (̅x) for each car transmission type. You should have two point estimates.
d. What are the 99% confidence interval estimates for the population mpg of automatic and manual cars? (Be careful here. Are you using the correct test statistic?)
e. You recall from Assignment 3 that the long-run fuel efficiency of cars using historical Motor Trends data is 22.9 mpg with a standard deviation of 5.1 mpg. You believe manual cars are more fuel efficient (get more mpg) than this overall average. Test this hypothesis at the 1% significance level using the t.test command. What can you conclude?

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```{r setup, include=FALSE}
knitr::opts_chunk$set(echo = TRUE)
```

## Loading Dataset
```{r}
data("mtcars")
head(mtcars)
```

### (a)
```{r}
manual <-subset(mtcars, mtcars$am == 1)
automatic <-subset(mtcars, mtcars$am == 0)
```

### (b)
```{r}
no.cars.manual <- nrow(manual)
no.cars.automatic <- nrow(automatic)

# Samples in Manual
print(no.cars.manual)

# Samples in Automatic
print(no.cars.automatic)
```
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        Backtrace
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        5.6mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
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        • 26. app/Http/Controllers/HomeworkLibraryController.php:105
        • 27. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
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      • select * from `subjects` where `subjects`.`id` in (299)
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        Backtrace
        • 19. app/Repositories/HomeworkLibraryRepository.php:30
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
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        1.39mstwenty4_siteHomeworkLibrary.php#260
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        Backtrace
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