Answer:
a) The null hypothesis is H₀ : µ₁ ≥ µ₂
The alternative hypothesis is Hₐ : µ₁ ≤ µ₂ (left tailed)
b) using t-test, t= -2.69
c) the p-value = 0.0041
Step-by-step explanation:
Testing if the machine 2 is faster than the machine 1 is tested under the null and alternative hypothesis at a 5% level of significance.
For machine 1
Mean (µ₁)= 73.8
Standard deviation (σ₁) = 5.2
n₁ = 60
For machine 2
Mean (µ₂)= 76.1
Standard deviation (σ₂) = 541
n₂ = 60
a) The null hypothesis is H₀ : µ₁ ≥ µ₂
The alternative hypothesis is Hₐ : µ₁ ≤ µ₂ (left tailed)
b) Using t-test
t = (µ₁ - µ₂) / √ (σ₁^2/ n₁) + (σ₂^2/ n₂)
t= (73.8 – 76.1) / √ (5.2^2/ 60 )+ (4.1^2/ 60)
t= (-2.31) / √0.7309
t= -2.31/ 0.8549
t= -2.69
c) The excel function for the p-value = TDIST (2.69, 118, 1)
P-value = 0.0041
Since the p-value is less than the 5% significance level, we reject the null hypothesis.
The then conclude that machine 2 is faster than machine 1
Answer:
Part A) Rectangle
Part B) Triangle
Part C) Cone
Part D) Circle
Step-by-step explanation:
Part A) Perpendicular cross section of a cylinder
The perpendicular cross section of a cylinder is a rectangle
The base of the rectangle is equal top the diameter of the circular base of cylinder and the height of the rectangle is equal to the height of the cylinder
Part B) Perpendicular cross section of a pyramid
Cross sections perpendicular to the base and through the vertex of a pyramid will be triangles
Part C) Shape created when a right triangle is rotated about the y-axis
When a right triangle is rotated about the y-axis, then it forms a cone.
The vertical leg of the triangle becomes the height of the cone.
The horizontal leg of the triangle becomes the radius of the cone.
The hypotenuse of the triangle becomes the slant height
Part D) Parallel cross section of a sphere
The parallel cross section of a sphere is a circle
All cross sections of a sphere are circles
Answer:
X = 2.5 in
Step-by-step explanation:
volume = L x W x H
120.9 = 9.3 x 5.2 x X
X = 2.5 in
No because u would multiply to get a common denominator and it would be 4/6 5/6
