Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Population mean (μ) = 2.55
Population standard deviation (σ) = 0.5
Sample size (n) = 30
Sample mean (x) = 2.76
α = 0.05
STEP 1:
Stress score in general executive (s1)
Stress score in exercising executive (s2)
Null : s1 = s2
Alternative : s1 < s2
STEP 2:
Shape of distribution = normal
Population mean (μ) = 2.55
Population standard deviation (σ) = 0.5
Sample size (n) = 30
Sample mean (x) = 2.76
α = 0.05
Decision rule :
α = 0.05 which corresponds to a t score (t0) ;
df = n - 1 = 30 - 1= 30 at 0.05 = 1.699
If :
(Test statistic (t) > t0) ; reject the Null
(right tailed test)
Test statistic (t) :
(x - μ) / (σ/√n)
(2.76 - 2.55) / (0.5/√30)
0.21 / 0.0913
= 2.30
t > t0
2.30 > 1.699
t is more extreme than t0
Hence, reject the null at α = 0.05
Answer:
Irrational
Step-by-step explanation:
When we take the square root of both sides, we get z = 0.141421... and since there are no fractions and the decimals go endlessly on, it is irrational.
Answer:
charles
Step-by-step explanation:
Arithmetic sequence
Given

where
a₁ = 16 and d = -3
We want to find the 10th term of the sequence, this means: we want to find a₁₀.
Since aₙ, for a₁₀ n = 10. Then we replace in the equation:
a₁ = 16, d = -3 and n = 10.

Answer: A. -11