Answer:
a) X[bar]=93
b)S=5.39
Step-by-step explanation:
Hello!
<em>A simple random sample of 5 months of sales data provided the following information: Month: 1 2 3 4 5 Units Sold: 94 100 85 94 92 </em>
<em />
<em>a. Develop a point estimate of the population mean number of units sold per month. </em>
The variable of interest is:
X: Number of sales per month.
A random sample of n=5 months was taken, for each month, the number of units sold was recorded. To calculate the mean of the sample you have to add all the observed frequencies (Units Sold) by the sample size (n)
X[bar]= ∑X/n= 465/5=93
You can say that, on average, 93 units were sold over the 5-month period.
<em>b. Develop a point estimate of the population standard deviation.</em>
To calculate the sample standard deviation you have to calculate the variance and then its square root:
![S^2= \frac{1}{n-1}[sumX^2-\frac{(sumX)^2}{n} ]](https://tex.z-dn.net/?f=S%5E2%3D%20%5Cfrac%7B1%7D%7Bn-1%7D%5BsumX%5E2-%5Cfrac%7B%28sumX%29%5E2%7D%7Bn%7D%20%5D)
∑X= 465
∑X²= 43361
![S^2= \frac{1}{4}[43361-\frac{(465)^2}{5} ]= 29](https://tex.z-dn.net/?f=S%5E2%3D%20%5Cfrac%7B1%7D%7B4%7D%5B43361-%5Cfrac%7B%28465%29%5E2%7D%7B5%7D%20%5D%3D%2029)
S= √29= 5.385≅ 5.39
I hope this helps!
X = larger number and y = smaller number
x + y = 153....x = 153 - y
x - 4y = 18
153 - y - 4y = 18
153 - 5y = 18
-5y = 18 - 153
-5y = -135
y = -135/-5
y = 27 <=== smaller number
x - 4y = 18
x - 4(27) = 18
x - 108 = 18
x = 18 + 108
x = 126 <== larger number
Answer:



So the smallest number is 3. As it divides 6,9 and 15.
The expected value if I have to pick one package given the price I would have to pay is $0.11.
<h3>What is the expected value?</h3>
The expected value is the cost you would have to pay subtracted from the total value of one package.
Total value of one package =[ (15 x 0.60) + (5 x 0.3) + (20 x 0.7)]/ (20 + 15 + 5) = $0.61
Expected value = $0.61 - $0.50 = $0.11
To learn more about expected value, please check: brainly.com/question/27624788
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Answer:
An equation in slope-intercept form of the line will be
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept
Given the points
Finding the slope between (-1,-1) and (1,0)




substituting m = 1/2 and (-1, -1) in the slope-intercept form of the line equation to determine the y-intercept



Add 1/2 to both sides


substituting m = 1/2 and b = -1/2 in the slope-intercept form of the line equation



Therefore, an equation in slope-intercept form of the line will be