Answer:
1.) mean
2.) H0 : μ = 64
3.) 0.0028
4) Yes
Step-by-step explanation:
Null hypothesis ; H0 : μ = 64
Alternative hypothesis ; H1 : μ < 64
From the data Given :
70; 45; 55; 60; 65; 55; 55; 60; 50; 55
Using calculator :
Xbar = 57
Sample size, n = 10
Standard deviation, s = 7.14
Test statistic :
(xbar - μ) ÷ s/sqrt(n)
(57 - 64) ÷ 8 / sqrt(10)
Test statistic = - 2.77
Pvalue = (Z < - 2.77) = 0.0028 ( Z probability calculator)
α = 10% = 0.1
Reject H0 ; if P < α
Here,
P < α ; Hence, we reject the null
Answer:
-5x+3 OR 5x-3
Step-by-step explanation:
You find the inverse by replacing the x with the y, and solving for y. Doing this actually gives you -5x+3 but in this case, the closest answer would be 5x-3.
UPDATE: -5x + 3 can be written as 3 - 5x lol
Answer:
11 and 16
Step-by-step explanation:
A good way to solve these is to work backwards.
X= larger and Y= smaller
if X is 5 more than 2Y than subtract 5 from the total
38 - 5 = 33
divide by 3
33/3 = 11
11 = Y and double that is 22 so add the five back into X and you get 16
Answer:
29,892
Step-by-step explanation:
811,968-782,076