A, you need to figure out what the companies use per week. A does that. Good luck with further math
Answer:
a) Z= 0.0228
b) based on the critical value, it is a one tailed test
c) Since the p-value is less than the level of significance (α= 0.05) so we reject the null hypothesis.
This implies that the advertising campaign has been effective in increasing sales.
Step-by-step explanation:
The null hypothesis is H₀ : µ = 8000
The alternative hypothesis is H₁ : µ ˃ 8000
Mean (µ) = 8000
Standard deviation (σ) = 1200
n = 64
We will use the Z test to test the hypothesis
Z = (X - µ)/ (σ/√n)
Z = (8300 – 8000)/ (1200/√64)
Z = 300/ (1200/8)
Z = 300/ 150
Z= 2
From the normal distribution table,
2 = 0.4772
Φ(z) = 0.4772
Since Z is positive,
P(x˃a) =0.5 - Φ(z)
= 0.5 – 0.4773
= 0.0228
The required P-value = 0.0228
The P-value of one tail Z test at α= 0.05 level of significance
P-value = p(Z˃2.5)
= 0.0228
Since the p-value is less than the level of significance (α= 0.05) so we reject the null hypothesis.
This implies that the advertising campaign has been effective in increasing sales.
The formula for calculating the area of a rectangle is expressed as A = lw. The area of the box is 48x^4 - 32x^3 cubic units
<h3>Area of a rectangle</h3>
The formula for calculating the area of a rectangle is expressed as:
A = lw
Given the following parameters
- length l = 8x²
- breadth w = 6x² - 4x
Determine the area
Area = (8x²)6x² - 4x
Area of the box = 48x^4 - 32x^3
Hence the area of the box is 48x^4 - 32x^3 cubic units
Learn more on area of box here: brainly.com/question/3948796
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Answer:
The third side is 8
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse
a^2 + 15^2 = 17^2
a^2 +225 = 289
Subtract 225 from each side
a^2 +225-225=289-225
a^2 = 64
Take the square root of each side
sqrt(a^2) = sqrt(64)
a= 8
