Answer:
Test statistic = -2.25
P-value = 0.0199
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 450 gram
Sample mean, 
= 441 grams
Sample size, n = 16
Alpha, α = 0.05
Sample variance = 256
First, we design the null and the alternate hypothesis
We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Degree of freedom =
We can calculate the p-value from the table as:
P-value = 0.0199
Conclusion:
Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.
Thus, there is enough evidence to support the claim that the machine is under filling the bags .
Hey the picture is blurry can u take another one plz
Adam earned a total of £265.10 last week.
Step-by-step explanation:
Step 1; Adam earns a basic pay of £200 each week. He earns 10% of the magazine price for each sold and 15% of the book price for each sold. Each magazine costs £8 and each book costs £15. He sells 42 magazines and 14 books.
Money earned for selling a magazine = 10% × £8 = 0.10 × £8 = £0.80,
Money earned for selling a book = 15% × £15 = 0.15 × £15 = £2.25,
Money earned for selling 42 magazines = 42 × £0.80 = £33.60,
Money earned for selling 14 books = 14 × £2.25 = £31.50,
Money earned for selling 42 magazines and 14 books = £33.60 + £31.50 = £65.10.
Step 2; Now we have to calculate his last week's salary which is his weekly pay and his earnings from selling magazines and books. We found that he earned £31.50 from selling books and magazines. His weekly salary is £200.
Last week's salary = £200 + £65.10 = £265.10.
Answer:
grains of sand are in the Sahara Desert
Step-by-step explanation:
Given :
The Sahara Desert has an area of approximately 9,400,400 sq.km.
Depth = 150 m
To Find :Approximately how many grains of sand are in the Sahara Desert?
Solution:
Area of Sahara desert = 9,400,400 sq.km.
So, 
Volume of sand =
=
So, 
1 cubic cm holds grains of sand = 8000
holds grains of sand = 
=
Hence grains of sand are in the Sahara Desert
