You need to arrange 10 of your favorite books on a small shelf. How many different ways can you arrange the books, assyming that
1 answer:
Answer:
You can arrange the books 3,628,800 different ways.
Step-by-step explanation:
You can imagine that the shelf has 10 "slots" where you can place a book. Each slot can take 1 of the 10 books. However, after you have placed 1 book, there are only 9 possible books to place. After 2 have been placed, there are only 8 possible.
Going left-to-right, the first slot has 10 available books.
Total combinations: 10
The 2nd slot has 9 available books.
Total combinations: 10 * 9
The 3rd slot has 8 available books.
Total combinations: 10 * 9 * 8
This continues for all 10 slots.
Eventually, for slot 10, there is only 1 book possible.
Total combinations: 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
Multiply all numbers between 10 and 1 with each other is also known as "10 factorial" or "10!"
Thus, the total number of combinations is:
Answer: You can arrange the books 3,628,800 different ways.
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Answer:
D)Yes, because the difference in the means in the actual experiment was more than two standard deviations from 0.
Step-by-step explanation:
We will test the hypothesis on the difference between means.
We have a sample 1 with mean M1=18.2 (drug group) and a sample 2 with mean M2=15.9 (no-drug group).
Then, the difference between means is:
If the standard deviation of the differences of the sample means of the two groups was 1.1 days, the t-statistic can be calculated as:
The critical value for a two tailed test with confidence of 95% (level of significance of 0.05) is t=z=1.96, assuming a large sample.
This is approximately 2 standards deviation (z=2).
The test statistict=2.09 is bigger than the critical value and lies in the rejection region, so the effect is significant. The null hypothesis would be rejected: the difference between means is significant.