Step 1: Install necessary packages (if any are required)

For this task, no additional packages are required as we can use base R functions.

Step 2: Set up the simulation parameters

Set seed for reproducibility

set.seed(123)

Define parameters for the normal distribution

mean_value <- 1 # Mean of the normal distribution
std_dev <- 30 # Standard deviation of the normal distribution
sample_size <- 150 # Number of samples to generate

Step 3: Simulate the sample

Generate 150 random values from the normal distribution

simulated_sample <- rnorm(n = sample_size, mean = mean_value, sd = std_dev)

Step 4: Compute the standard deviation of the simulated sample

Use the sd() function to calculate the standard deviation of the sample

sample_std_dev <- sd(simulated_sample)

Step 5: Output the results

cat("Simulated sample (first 10 values):", head(simulated_sample, 10), "\n")
cat("Standard deviation of the simulated sample:", sample_std_dev, "\n")