Answer:
Since the calculated Z= -1.886 lies within the Z∝ = ± 1.96 we fail to reject our null hypothesis that population mean is 31.8 oz. and not 32 ounces. There is evidence that Mill Valley Brewery is cheating customers by under-filling their bottles.
Step-by-step explanation:
Let the null hypothesis be
H0 : u = 31.8 oz against Ha: u ≠ 31.8 oz two tailed test
For a two tailed test and alpha = 0.05 the z∝ = ± 1.96
The rejection region is Z ≥ ± 1.96
Here n = 50
sample mean = x= 31.8 oz
and sample standard deviation= s= 0.75
Population mean= u= 32
Test statistics to be used is
Z= x- u / s/ √n which is approximately normal
Z= 31.8-32/0.75/ √50
z= -1.886
Since the calculated Z= -1.886 lies within the Z∝ = ± 1.96 we fail to reject our null hypothesis that population mean is 31.8 oz. and not 32 ounces. There is evidence that Mill Valley Brewery is cheating customers by under-filling their bottles.
Answer:
Step-by-step explanation:
let the 3rd side, the hypotenuse, be x
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 2² + 3² = 4 + 9 = 13 ( take square root of both sides )
x =
Answer:
Step-by-step explanation:
It is a right triangle and you have the measure of the cathets, we use the Pythagorean theorem
√(3² + 2²) =
√(9 + 4) =
√13