We are given the following variables:
μ = the sample mean = 152 pounds
σ = the standard deviation = 26 pounds
x = the sample value we want to test = 180 pounds
n = the sample size = unknown
MOE = margin of error = 4% = 0.04
Confidence level = 96%
The first thing we can do is to find for the value of z
using the formula:
z = (x – μ) / σ
z = (180 – 152) / 26
z = 1.0769 = 1.08
Since we are looking for the people who weigh more than
180 pounds, therefore this is a right tailed z test. The p value is:
p = 0.1401
Then we can use the formula below to solve for n:
n = z^2 * p * (1 – p) / (MOE)^2
n = 1.08^2 * 0.1401 * (1 – 0.1401) / (0.04)^2
n = 87.82 = 88
Therefore around 88 people must be surveyed.
Answer:
C. Exponential decay
Step-by-step explanation:
Answer:
He did not control for lurking variables and their impacts on the results of his experiment. Amount of sunlight and water received are two outside variables(or confounding variables) that may impact the growth of his plants and influence the results. He needs to apply the same amount of sunlight and water to each plant within a different planting soil in order to rule out the influence of those two variables and test the sole effect of the soil brand on the plant growth. Otherwise, it would be hard to determine whether his plant growth was because of the soil brand or the different amounts of sunlight and water received
The classification of these numbers into smallest to greatest is -23, -√25, -1/3, 0, π, 4, √22, √400, 51.9, 2.8 * 10^3
<h3>How to classify these numbers into smallest to greatest?</h3>
To do this, we simply evaluate the number expressions
√22 = 4.690
π = 3.142
0 = 0
51.9 = 51.9
√400 = 20
-1/3 = -0.333
-√25 = -5
-23 = -23
4 = 4
2.8 * 10^3 = 2800
Next, we rearrange the numbers from the smallest to greatest
-23 = -23
-√25 = -5
-1/3 = -0.333
0 = 0
π = 3.142
4 = 4
√22 = 4.690
√400 = 20
51.9 = 51.9
2.8 * 10^3 = 2800
So, the classification of these numbers into smallest to greatest is -23, -√25, -1/3, 0, π, 4, √22, √400, 51.9, 2.8 * 10^3
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Answer:
y = 16x
Step-by-step explanation: