Answer & Step-by-step explanation:
Null hypothesis (H0): μ=100 lbs
Alternative hypothesis (H1): μ>100 lbs
<em>We must use the t-student distribution because the population standard deviation is unknown.</em>
t-statistic formula:
t= (xbar-m)/(S/(sqrt(n)))
xbar: sample mean
m: hypothesized value
S: sample standard deviation
n: number of observations
t=(104-100)/(10/sqrt(25))
t-statistic= 2
The critical value from the t-student distribution with, 25-1 degrees of freedom and 1% significance level , is 2.4922
Because the t-statistic is less than the critical value, then you do not reject the null hypothesis. Then there is NO statistical evidence to affirm that the average weight population of product X is greater than 100 lbs.
Answer:
96 inches
Step-by-step explanation:
176 divided by 11 equals 16.
This means each square has an area of 16 squared inches.
The square root of 16 is 4. Each side of each square is 4 inches long.
If you count how many sides of the squares line the perimeter, there are 24.
24 times 4 equals 96 inches.
Answer:
The expression
has two variables x and y.
Step-by-step explanation:
<u>What is a variable?</u>
A variable is a letter, for instance
or
, that represents an unknown number.
Given the expression
![x + 4y - 9](https://tex.z-dn.net/?f=x%20%2B%204y%20-%209)
The given expression has three terms which are x, 4y, and -9.
Here:
- The term 'x' is the unknown variable x.
- The term '4y' has a coefficient (the number next to a variable y) of 4.
- The term '-6' is a constant.
As we already know that a variable is a letter, for instance x or y, that represents an unknown number. In other words, the values of x, or y are unknown to us.
Thus, the expression
has two variables x and y.