The table shows the times of the gold, silver, and bronze medal winners for the men’s 100-meter race (in seconds) for 10 Olympic
2 answers:
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Complete Question
The complete question is shown on the first uploaded image
Answer:
The null hypothesis is
The alternative hypothesis is
Step-by-step explanation:
From the question we are told that
The number observations is
The annual salary (in dollars) is y
The mean score on teaching evaluation is x
The the relationship between the y and x is
Where is the mean of the equation so
The null hypothesis is
The alternative hypothesis is
Answer:
And we can find this probability using the complement rule:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
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 scores of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.