Select ALL of the trips that would take 2 hours.
2 answers:
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Using the normal approximation to the binomial, it is found that:
- The mean of X is of 52 samples.
- The standard deviation of X is of 4.2661 samples.
- 0.0017 = 0.17% probability that less than half without any traces of pesticide.
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Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
Can be approximated to a normal distribution, with mean given by:
And standard deviation of:
Normal probability distribution
Z-score formula is used, which, in a set with mean and standard deviation
, the z-score of a measure X is given by:
- Each z-score has an associated p-value, which measures the percentile of measure X.
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- 65% of samples had no pesticide, thus
- 80 samples, thus
The mean of X is of:
The standard deviation of X is of:
Using the approximation and continuity correction, the probability is , which is the p-value of Z when X = 39.5. Thus:
has a p-value of 0.0017, thus:
0.0017 = 0.17% probability that less than half without any traces of pesticide.
A similar problem is given at brainly.com/question/24261244
Answer:
12.1, 12.3,12.4,12.5,12.3,12.1,12.2
And for the standard deviation we can use the following formula:
And after replace we got:
And as we can ee we got a small value for the deviation <1 on this case.
Step-by-step explanation:
For example if we have the following data:
12.1, 12.3,12.4,12.5,12.3,12.1,12.2
We see that the data are similar for all the observations so we would expect a small standard deviation
If we calculate the sample mean we can use the following formula:
And replacing we got:
And for the standard deviation we can use the following formula:
And after replace we got:
And as we can ee we got a small value for the deviation <1 on this case.