Tucker got 80% of the questions correct on his last science test. What fraction of the test questions did he get correct.
2 answers:
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Answer:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then the we know that the distribution for the sample mean is given by:
And the standard error is given by:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then the we know that the distribution for the sample mean is given by:
And the standard error is given by:
When -29/8 is written as a decimal it becomes
Which is equivalent to -3.63, rounded to the nearest hundredth.
Now from here we will be able to tell if they're < , > or =
So, -3.63 is > -3.62
ANSWER: -29/8 > -3.62
Which is equivalent to -3.63, rounded to the nearest hundredth.
Now from here we will be able to tell if they're < , > or =
So, -3.63 is > -3.62
ANSWER: -29/8 > -3.62