1. Ater studying open senior high school. Mary is minking whether or not to pursue a degree in in college. She was told that if she graduates with a degree with a degree in college, a ile of tuiment and happiness awaits her. Assist Mary in making her decision.

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REJECTION REGION AND LEVEL OF SIGNIFICANCE

STAT-PROBA...
As mentioned earlier, every action that one takes is coupled with consequences.
When an error is committed in decision making, consequences happens too. These
consequences might be acceptable or too terrible, terrible enough to dlaim lives. In
statistics, the chance of committing an error is measured and this measurement
served as the basis in making a decision.
Now, let us examine some examples of errors in decision making.
1. A manufacturer of IT gadgets recently announced they had developed a new
battery for a tablet and caimed that it has an average ide of at least 24 hours.
Would you buy this battery?
Explanation
A type l error is committed if you decide not to buy the battery and a
possible consequence is you lost the opportunity to have a battery that
could last for at least 24 hours.
Type Il error is committed when you buy the battery and found out
that the battery's ife was less than 24 hours. A possible consequence is
that you wasted your money in buying the battery.
2. A teenager who wanted to lose weight is contemplating on a diet she read about
in social media. She wants to adopt it but, unfortunately, the following diet requires
buying nutritious, low calories yet expensive food. Help her decide.
Explanation
14
A type l error is committed when the teenager did follow the diet
and a possible consequence is that she spent unnecessarily for a diet
that did not help her reduce weight.
Type l error is committed when the teenager did not follow the
diet. A possible consequence of this eror is that the teenager lost the
opportunity to attain her goal of weight reduction.
Now let's try what you have learned.
What can I do
Activity 4.
Directions: In each situation below state when the error will be committed and give
its possible consequences.
1. After studying open senior high school, Mary is thinking whether or not to
pursue a degree in in college. She was told that if she graduates with a degree
with a degree in college, a lite of fulfiment and happiness awaits her. Assist
Mary in making her decision.
2. An airline company does regular quality control checks on airplanes. One of
them is tire inspection because tires are senstive to the heat produced when
the airplane runs through the runway. Since its operation, the company uses a
particular type of tire which is guaranteed to perform even at a maximum
surface temperature of 107"C. However, the tires cannot be used and need to
be replaced when surface temperature exceeds a mean of 107C. Help the
company decide whether or not to do a complete tire replacement.
3. Alden is exclusively dating Maine. He remembers that on their fest date, Maine
told him that her birthday was this month. However, he forgot the exact date.
Ashamed to admit that he did nat remember, he decides to use the hypothesis
testing to make an educated guess that today is Maine's birthday. Help Alden
do it.
Transcribed Image Text:STAT-PROBA... As mentioned earlier, every action that one takes is coupled with consequences. When an error is committed in decision making, consequences happens too. These consequences might be acceptable or too terrible, terrible enough to dlaim lives. In statistics, the chance of committing an error is measured and this measurement served as the basis in making a decision. Now, let us examine some examples of errors in decision making. 1. A manufacturer of IT gadgets recently announced they had developed a new battery for a tablet and caimed that it has an average ide of at least 24 hours. Would you buy this battery? Explanation A type l error is committed if you decide not to buy the battery and a possible consequence is you lost the opportunity to have a battery that could last for at least 24 hours. Type Il error is committed when you buy the battery and found out that the battery's ife was less than 24 hours. A possible consequence is that you wasted your money in buying the battery. 2. A teenager who wanted to lose weight is contemplating on a diet she read about in social media. She wants to adopt it but, unfortunately, the following diet requires buying nutritious, low calories yet expensive food. Help her decide. Explanation 14 A type l error is committed when the teenager did follow the diet and a possible consequence is that she spent unnecessarily for a diet that did not help her reduce weight. Type l error is committed when the teenager did not follow the diet. A possible consequence of this eror is that the teenager lost the opportunity to attain her goal of weight reduction. Now let's try what you have learned. What can I do Activity 4. Directions: In each situation below state when the error will be committed and give its possible consequences. 1. After studying open senior high school, Mary is thinking whether or not to pursue a degree in in college. She was told that if she graduates with a degree with a degree in college, a lite of fulfiment and happiness awaits her. Assist Mary in making her decision. 2. An airline company does regular quality control checks on airplanes. One of them is tire inspection because tires are senstive to the heat produced when the airplane runs through the runway. Since its operation, the company uses a particular type of tire which is guaranteed to perform even at a maximum surface temperature of 107"C. However, the tires cannot be used and need to be replaced when surface temperature exceeds a mean of 107C. Help the company decide whether or not to do a complete tire replacement. 3. Alden is exclusively dating Maine. He remembers that on their fest date, Maine told him that her birthday was this month. However, he forgot the exact date. Ashamed to admit that he did nat remember, he decides to use the hypothesis testing to make an educated guess that today is Maine's birthday. Help Alden do it.
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