The value of the z test statistic will be 2.55.
<h3>What is the z test statistic?</h3>
The z test statistic is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z test statistics is given as
z = (x – μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
A sample of 25 provided a sample mean μ = 14 and a sample standard deviation σ = 4.32.
Then the value of the z test statistic will be
z = (x – μ) / σ
z = (25 - 14) / 4.32
z = 11 / 4.32
z = 2.546 ≈ 2.55
More about the z test statistic link is given below.
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The difference is 180 is the correct answer for the problems

Step-by-step explanation:
Step 1 : Taking L.H.S(Left Hand Side) we have,
... equation (1)
Step 2 : As we know, 
Therefore,
by substituting value in equation (1), we have

Step 3 : As, L.H.S = R.H.S
Hence Proved,

Answer:
-4,-3 is 4 and 2,1 is 2
Step-by-step explanation:
Answer:
15 small bottles
30 large bottles
Step-by-step explanation:
Let the number of small bottle sold=s
Let the number of large bottle sold=l
She sold all 45 of the hand sanitizer bottles, therefore:
The small bottle sells for $5.00
The large sells for $12.00
She collected a total of $435
We solve the two equations simultaneously to obtain s and l.
From the first equation, s=45-l
Substitute s=45-l into 5s+12l=435
5(45-l)+12l=435
225-5l+12l=435
7l=435-225
7l=210
Divide both sides by 7
l=30
Recall: s=45-l
Therefore, s=45-30=15
<u>Allanah sold 15 small bottles and 30 large bottles of hand sanitizer.</u>