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.
Seashells glued on 1 photo frame = k
So, seashells glued on 5 photo frame
= Seashells glued on 1 photo frame × 5
= k × 5
= 5k
So, Erynn used 5k seashells.
Step-by-step explanation:
Let’s set up a proportion.
6/20=x\100 (percent is always out of 100. set parts and wholes equal)
x=30
30 percent of the people are from out of state.
Answer:18
Step-by-step explanation:It is the same shape just 3 times the size.
Comparing g(x) with f(x), you can see that the function f(x) is translated to the right by 6 units to produce g(x) which is equivalent to (x-6)²
<h3>Transformation of function</h3>
Transformation is a techniques use to change the position of an object on an xy-plane.
Given the parent function f(x) = x² and the function g(x) = x²-12x +36
Factorize g(x);
g(x) = x²-6x-6x+36
g(x)=x(x-6)-6(x-6)
Group the terms to have;
g(x) = (x-6)²
Comparing g(x) with f(x), you can see that the function f(x) is translated to the right by 6 units to produce g(x) which is equivalent to (x-6)²
Learn more on transformation here: brainly.com/question/4289712
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