explain if this problem is correct and details please

1.You wish to test the claim that 24 at a level of significance of = 0.01 and are given sample statistics n = 40, x = 25.8.Assume the population standard deviation is 4.3.Compute the value of the standardized test statistic.Round your answer to two decimal places.

We know n=40, mu is less than or equal to 24, a=0.01, standard deviation is 4.3, and mean is 25.8.

We use the equation

z=(x-mu)/(standard deviation/square root of n)

After plugging everything in it would look like this

z=(25.8-24)/(4.3/square root of 40)=2.65

So z=2.65