a) The hypothesis states that the mean is different from 0.5025 and has been rejected. b) The p-value computed is 0. c) A confidence interval is established as 0.50456 < u < 0.50464. The hypothesis testing is based on a given standard deviation (s.d.) of 0.0001, a sample mean of x = 0.5046 from a sample size of n = 25. The two-sided alternative and significance level of 0.05 were assumed. A Z-score was calculated to show that the hypothesis is rejected since the mean differs from 0.5025.
Answer:
Red paint will cover 262 square feet
of the ramp.
Step-by-step explanation:
The lateral surface area represents the surface area of the sides of the ramp without including the top and bottom surfaces
This ramp has three surfaces
The two sides are triangular with dimensions of length 20 and height 8.5
The back consists of a rectangular shape with length 12 and height 8.5
Step 1: Calculating the Area of Triangle
The area of the triangular side = 
The area of the triangle = 
The area of the triangle = 
Thus, the area of the triangle = 85 square feet
Area of both triangles = 
= 170
Step 2: Finding the Area of Rectangle
Area of rectangle = 
therefore,
Area of the rectangular back = 
= 102 square feet
Step 3: Calculating the total lateral surface area
Overall Lateral Surface Area
= Area of triangles + Area of Rectangle
= 272 square feet
Answer:
The total probability exceeds 100%, indicating a problem with the findings; moreover, the distribution shows excessive uniformity which disqualifies it as a normal distribution.
Detailed explanation:
The sum of probabilities should be exactly 100%. When you add the probabilities of this distribution:
22+24+21+26+28 = 46+21+26+28 = 67+26+28 = 93+28 = 121
This exceeds 100%, highlighting a significant error in the results.
A typical normal distribution possesses a bell curve. If we plot the probabilities for this distribution, we'd see bars at 22, 24, 21, 26, and 28.
The bars would fail to form a bell-shaped curve, confirming that this is not a normal distribution.
The function is applicable within the segments of x:
(-∞, -1) and [-1, 7), meaning it is valid for x < 7.
Importantly,
the function cannot be evaluated at x = -1 in the left part of the linear graph, while it is valid at x = -1 in the right segment of the same line. Additionally, the function is not defined at x = 7 or any value above it.
Conclusion: x < 7.
