Answer:
There is no sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
We are given;
n = 27 bags
Sample mean;X = 402 gram
Population mean;μ = 404 gram
Variance = 676
We know that, standard deviation(σ) = √variance
Thus;
σ = √676
σ = 26
The hypotheses are;
Null hypothesis; H0: μ = 404
Alternative hypothesis; HA: μ < 404
Let's find the z-score from the formula;
z = (X - μ)/(√σ/n)
z = (402 - 404)/√(26/27)
z = -2.04
From the z-distribution table attached, we have a p-value of 0.02068
This is less than the significance value of 0.01 and thus we will reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that the bags are underfilled
Domain :
Range:
Explanation:
It is given that Bev earns $2 a week.
Thus, for n number of weeks, we shall multiply $2 with n.
Where is the number of weeks.
For 1 week, Bev earns ⇒ $2
For 2 weeks, Bev earns ⇒ $4
For 3 weeks, Bev earns ⇒ $6
For 4 weeks, Bev earns ⇒ $8
Thus, we can see that the domain is the number of weeks.
Hence, Domain :
Also, the money earned is the range.
Hence, Range:
Answer:
Step-by-step explanation:
The explicit formula for an arithmetic sequence is given by :
...(1)
We need to find the 200th term of the sequence.
Put n = 200 in equation (1)
So, the 200th term of the sequence is 418.