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
n, n + 2, n + 4 - three consecutive even integers
n + 2 = 2(n + 4) - 6 |use distributive property
n + 2 = (2)(n) + (2)(4) - 6
n + 2 = 2n + 8 - 6
n + 2 = 2n + 2 |subtract 2 from both sides
n = 2n |subtract 2n from both sides
-n = 0
n = 0
n + 2 = 0 + 2 = 2
n + 4 = 0 + 4 = 4
Answer: 0, 2, 4.
Answer:
-6
Step-by-step explanation:
-84=6(p-8)
-84=6p-48
+48 +48
-36=6p
-36/6=6p/6
-6
Hope this helps
Please mark me as Brainliest
