Answer:
The upper limit of a 95% confidence interval for the population mean would equal 83.805.
Step-by-step explanation:
The standard deviation is the square root of the variance. Since the variance is 25, the sample's standard deviation is 5.
We have the sample standard deviation, not the population, so we use the t-distribution to solve this question.
T interval:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 15 - 1 = 14
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of 0.95(
). So we have T = 1.761
The margin of error is:
M = T*s = 1.761*5 = 8.805.
The upper end of the interval is the sample mean added to M. So it is 75 + 8.805 = 83.805.
The upper limit of a 95% confidence interval for the population mean would equal 83.805.
Answer:
x=8
Step-by-step explanation:
If it's a vertical line that means it's "sticking straight up" in a sense, so your line would go through all values of 8.
Answer:
asnwer is learn how to do answers without needing a app
Step-by-step explanation:
Answer:
70 members in 2016
Step-by-step explanation:
In 2016
Let the number of members= x
They all paid y amount
Total fees= 42
Xy= 42...... equation 1
In 2017
Members= x+20
They paid y-0.1
Total fees = 45
(X+20)(y-0.1)= 45…equation 2
Xy -0.1x +20y -2= 45
Using values from equation 1
42-0.1(42/y) +20y -2= 45
-4.2/y+20y-5= 0
20y² -4.2 -5y = 0
100y² -25y -21= 0
Solving quadratically
Y= 0.6 or -0.35
We are dealing with price so y Is
definitely a positive number
Y= 0.6
If y= 0.6
Solving for x
Xy= 42
X= 42/0.6
X=70
There were exactly 70 members in 2016
<h2>$2.98</h2>
Step-by-step explanation:
5 bags of chips and 4 jars of dipping sauce cost $21.82. Also, 4 bags of chips and 3 jars of dipping sauce cost $16.86.
This problem can be modeled using linear equations in two variables.
Let 
be the cost of a bag of chip and 
be the cost of a jar of dipping sauce.
The information yields the equations
∴ A jar of dipping sauce costs 
.
