Using R Studio/R programming... A consumer-reports group is testing whether a gasoline additive changes a car's...

Using R Studio/R programming...

A consumer-reports group is testing whether a gasoline additive changes a car's gas mileage. A test of seven cars finds an average improvement of 0.4 miles per gallon with a standard deviation of 3.57. Is the difference significantly greater than 0? Assume that the values are normally distributed.

What would the code be?

Solutions

Expert Solution

Attached is the R code marked in BOLD

# Test of Hypotheis
# Ho : mu =0 , vs Ha : mu >0

mu <- 0
x <- 0.4
s <- 3.57
n <- 7
t <- (x-mu)/(s/sqrt(n))
p_value <- pt(t, n-1, lower.tail = FALSE)
print(t)
print(p_value)

Ans

t = 0.2964427 with 6 degrees of freedom

p_value = 0.3884428

Conclusion

Since p_value > =0.05 we do not have sufficient evidence to reject Ho and conclude that there is no significant improvement in mileage.

orchestra answered 1 year ago

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