R Markdown

This is an R Markdown document. Markdown is a simple formatting syntax for authoring HTML, PDF, and MS Word documents. For more details on using R Markdown see http://rmarkdown.rstudio.com.

When you click the Knit button a document will be generated that includes both content as well as the output of any embedded R code chunks within the document. You can embed an R code chunk like this:

summary(cars)
##      speed           dist       
##  Min.   : 4.0   Min.   :  2.00  
##  1st Qu.:12.0   1st Qu.: 26.00  
##  Median :15.0   Median : 36.00  
##  Mean   :15.4   Mean   : 42.98  
##  3rd Qu.:19.0   3rd Qu.: 56.00  
##  Max.   :25.0   Max.   :120.00

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#Question1 # Parameters mu <- 120 # Population mean xbar <- 125 # Sample mean sigma <- 15 # Population standard deviation n <- 50 # Sample size

Z-test calculation

z <- (xbar - mu) / (sigma / sqrt(n)) z

p-value for two-tailed test

p_value <- 2 * (1 - pnorm(abs(z))) p_value

#Question2 # Sample data weights <- c(65, 67, 70, 72, 68, 66, 69, 71, 73, 64, 68, 70)

One-sample t-test

t_test <- t.test(weights, mu = 68) t_test

#Question3 # Data method_A <- c(78, 85, 82, 88, 90) method_B <- c(72, 80, 75, 79, 77)

Two-sample t-test (equal variances)

t_test2 <- t.test(method_A, method_B, var.equal = TRUE) t_test2