From 1991 to 2000, Kentucky's average annual temperatures (°F) were recorded as 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.
We will assess the measures of center.
To begin with, we will compute the mean.
Mean = (Total of all observed values) / (Number of observations)
Mean =
=
= 55.62
Next, we will determine the mode.
Mode signifies the number that appears most frequently within a set.
Considering the data set 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.
Mode = 55.6
Now we will find the median.
First, we will arrange the values in ascending order.
52.2, 54.4, 54.4,55.1,55.6, 55.6, 55.7, 57.3, 57.5, 58.3
With a total of 10 values.
Median = th value
Since the 5th value is 55.6.
Thus, the median stands at 55.6Answer:
P-value = 0.0455
Step-by-step explanation:
This inquiry focuses on calculating the P-value in a test.
Mathematically, we establish that;
P-value = 2 * P(Z > |z|)
Please refer to the attached document for a comprehensive resolution and step-by-step explanation
Response:
5.8%
Detailed reasoning:
For the business,
retail space rental = $2400
wages = $1800
utilities = $480
Total operating cost = $4680
However,
retail space rent decreased by 5%, which results in;
5% of $2400 = 0.05 x $2400 = $125
The new rental amount for retail space = $2400 - $125
= $2275
wages were lowered by 6%, calculated as;
6% of $1800 = 0.06 x $1800 = $108
The revised wages = $1800 - $108
= $1620
Utilities experienced a 7% increase, calculated as;
7% of $480 = 0.07 x $480 = $33.6
The adjusted utilities cost = $480 + $33.6
= $513.6
New total operating costs = $2275 + $1620 + $513.6
= $4408.6
The percentage change in monthly expenses = x 100%
x 100% = 5.8%