Answer:
Step-by-step explanation:
Hello!
So you have a new type of shoe that lasts presumably longer than the ones that are on the market. So your study variable is:
X: "Lifetime of one shoe pair of the new model"
Applying CLT:
X[bar]≈N(μ;σ²/n)
Known values:
n= 30 shoe pairs
x[bar]: 17 months
S= 5.5 months
Since you have to prove whether the new shoes last more or less than the old ones your statistical hypothesis are:
H₀:μ=15
H₁:μ≠15
The significance level for the test is given: α: 0.05
Your critical region will be two-tailed:


So you'll reject the null Hypothesis if your calculated value is ≤-1.96 or if it is ≥1.96
Now you calculate your observed Z-value
Z=<u>x[bar]-μ</u> ⇒ Z=<u> 17-15 </u> = 1.99
σ/√n 5.5/√30
Since this value is greater than the right critical value, i.e. Zobs(1.99)>1.96 you reject the null Hypothesis. So the average durability of the new shoe model is different than 15 months.
I hope you have a SUPER day!
Answer:
Each Novis share 7 sheep and each Expert share 12 sheep.
Step-by-step explanation:
Here, N represent the number of novices and E represent the number of experts needed for the company to meet its goal,
∵ All novices share the same number of sheep per day and all experts share the same number of sheep per day.
Let the sheep per day by a Novice = x and sheep per day by an expert = y,
So, the total sheep = xN + yE
According to the question,
Total sheep ≥ 700
⇒ xN + yE ≥ 700,
By here, we have given the inequality for the given scenario,
7N+12E ≥ 700
By comparing,
x = 7 and y = 12
Hence, Each Novis share 7 sheep and each Expert share 12 sheep.
If you want to inscribe a polygon inside a circle, you have a formula that doesn't have to use the apothem. The formula is:
A = (nr²/2)sin(360/n)
Since the polygon is a hexagon, it has 6 sides. Thus, n = 6. Knowing the area, we can determine the radius of the circle, r.
166.28 = (6r²/2)sin(360/6)
r = 8 inches
Thus, the radius of the circle is 8 inches.