Answer:
e. The probability of observing a sample mean of 5.11 or less, or of 5.29 or more, is 0.018 if the true mean is 5.2.
Step-by-step explanation:
We have a two-tailed one sample t-test.
The null hypothesis claims that the pH is not significantly different from 5.2.
The alternative hypothesis is that the mean pH is significantly different from 5.2.
The sample mean pH is 5.11, with a sample size of n=50.
The P-value of the test is 0.018.
This P-value corresponds to the probability of observing a sample mean of 5.11 or less, given that the population is defined by the null hypothesis (mean=5.2).
As this test is two-tailed, it also includes the probability of the other tail. That is the probability of observing a sample with mean 5.29 or more (0.09 or more from the population mean).
Then, we can say that, if the true mean is 5.2, there is a probability P=0.018 of observing a sample of size n=50 with a sample mean with a difference bigger than 0.09 from the population mean of the null hypothesis (5.11 or less or 5.29 or more).
The right answer is e.
Answer:
5
Step-by-step explanation:
Productivity: My candy bar company made 100 million bars last year, sold for $1 each. I also paid [L] people last year, with an average salary of $100K last year. I have overhead cost of $10M. What was my TOTAL productivity (no units, rounded to 2 decimal places)?
Solution:
Total productivity is the average of labour and capital productivity weighted and adjusted to price fluctuations. It is the ratio of total output to the total input. The total productivity is given by the formula:
Total productivity = total output / total input
Total output = Revenue = number of bars sold * price per bar
Total output = 100 million * $1 = $100 million
Total input = Total salary + overhead cost
Total salary = number of people * average salary = 100 *$100000 = $10 million
overhead cost = $10 million
Total input = $10 million + $10 million = $20 million
Total productivity = total output / total input = $100 million / $20 million
Total productivity = 5
Answer:
30x - 18
Step-by-step explanation:
6(5x - 3)
To distribute, multiply the outside number by everything inside the parentheses.
6 x 5x = 30x
6 x -3 = -18
30x - 18
I hope this helps!
Answer:
She needs to do at least 8 a day
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
(-1^2)x 3 = 3
-1 x 4 = -4
3--4 = 7
