Question

If I toss a coin 10 times and got the following satistical data below how does this information compare to the theoretical

vs the actual? Are the theoretical and actual results different? If so, why? How do you interpret the control limits, e.g., what do they tell us?

T,H,H,H,T,T,H,T,T,H   

Please answer all the questions in detail

Answer 1

Theoretical Results:
Total number of trials = 10

p = probability of head = 0.5

So,

Theoretical Expected number of trials = 10 X 0.5 = 5

Actual Results:

Actual Number of heads = 5

So,

The theoretical and actual results are not different.

Interpretation:

Based on thetest results, we can conclude that the coin is not biased.

Condition:
Since the number of trials = 10 < 30, small number, the results are not dependable. Some more trials are required to confirm the result.