Answer:
We conclude that the machine is under filling the bags.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 436.0 gram
Sample mean,
= 429.0 grams
Sample size, n = 40
Alpha, α = 0.05
Population standard deviation, σ = 23.0 grams
First, we design the null and the alternate hypothesis
We use one-tailed(left) z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.
The answer is 12.6 that’s the answer right there
Answer:
313,600
Step-by-step explanation:
Let t represent number of years after Beth's 9th birthday.
We have been given that since Beth was born the population of her towns has increased at a rate of 850 people per year. So number of people increased in t years would be
.
We are also told that on Beth's 9th birthday the total population was nearly 307,650. This means that t-intercept is 307,650.
The population of town t years after Beth's birthday would be
.
To find population on Beth's 16th birthday, we will substitute
in our equation as Beth's 16th birthday would be 7 years after 9th birthday.



Therefore, the population on Beth's 16th birthday would be 313,600.
All the numbers that can go into 40 and 56 are:
1
2
4
8