Can you help me solve this using R? 1. Medical research has shown that repeated interval for extensions beyond 20 degrees increases the risk of wrist and hand injuries. Each of 24 students at Cornell University used a proposed new computer mouse design, and while using the mouse, each student's wrist extension was recorded. ```{r} wrist <- data.frame(ID = 1:24, extension = c(27, 28, 24, 26, 27, 25, 25, 24, 24, 24, 25, 28, 22, 25, 24, 28, 27, 26, 31, 25, 28, 27, 27, 25)) ``` i) Compute the mean and standard deviation of the wrist extensions data above. Describe the sample using these summaries. ii) Create a histogram and QQ-plot of the wrist extensions. Is the normality assumption reasonable? iii) Use the data to estimate the mean wrist extension for people using this new mouse design using a 97\% confidence interval. Provide an interpretation of this interval. iv) Use the data to test the hypothesis that the mean wrist extension for people using this new design is greater than 20 degrees. Use alpha = 0.01 (1\%) level of significance.
Can you help me solve this using R?
1. Medical research has shown that repeated interval for extensions beyond 20 degrees increases the risk of wrist and hand injuries. Each of 24 students at Cornell University used a proposed new computer mouse design, and while using the mouse, each student's wrist extension was recorded.
```{r}
wrist <- data.frame(ID = 1:24,
extension = c(27, 28, 24, 26, 27, 25, 25, 24, 24, 24, 25, 28, 22, 25, 24, 28, 27, 26, 31, 25, 28, 27, 27, 25))
```
i) Compute the
ii) Create a histogram and QQ-plot of the wrist extensions. Is the normality assumption reasonable?
iii) Use the data to estimate the mean wrist extension for people using this new mouse design using a 97\% confidence interval. Provide an interpretation of this interval.
iv) Use the data to test the hypothesis that the mean wrist extension for people using this new design is greater than 20 degrees. Use alpha = 0.01 (1\%) level of significance.
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For part i can you describe that sample using the summaries, in part ii describe if the normality is reasonable, and part iii interpret the confidence interval?
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