You are conducting a significance test of H0: μ = 1.6 against Ha: μ ≠ 1.6. After checking the conditions are met from a simple random sample of 28 observations, you obtain t = 2.79. Based on this result, describe the p-value. a. The p-value falls between 0.05 and 0.1.
b. The p-value falls between 0.0025 and 0.005.
c. The p-value falls between 0.02 and 0.025.
d. The p-value falls between 0.005 and 0.01.
e. The p-value is less than 0.005.

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.

yes they are the same