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vampirchik [111]
3 years ago
14

consider the following hypothesis test, H0, U greater than or equal to 20, Ha less than 20, a sample of 50, provided a mean of 1

9.4 population standard deviation is 2, compute the value of of the test static, what is the p-value,
Advanced Placement (AP)
1 answer:
hoa [83]3 years ago
3 0

Based on the calculations, the value of the test statistic and p-value are equal to -2.1213 and 0.0169 respectively.

<u>Given the following data:</u>

  • Standard deviation = 2.
  • Sample mean = 19.4.
  • Number of sample = 50.
  • Hypothesized mean = 20.

<h3>How to compute the test static?</h3>

Mathematically, the value of the test statistic can be computed by using this formula:

Z=\frac{\bar{x}\;-\;\mu}{ \frac{\sigma}{\sqrt{n} }  }\\\\Z=\frac{19.4\;-\;20}{\frac{2}{\sqrt{50}}}\\\\Z=\frac{-0.6}{0.282842 }

zₓ = -2.1213.

From the z-table, the p-value is given by:

P(Z < zₓ) = P(Z < -2.1213)

P(Z < -2.1213) = 0.0169.

Since the p-value is equal to 0.0169 less than α = 0.05, we would reject H₀ : µ equal to 20. Thus, we would conclude that µ < 20.

Read more on standard deviation here: brainly.com/question/4302527

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Hi! I had the same FRQ so I thought I would help you out. Answer is below

Explanation:

PART A

<u>Encoding failure</u> is the brain’s failure to create a memory link between something. Encoding usually refers to the brain’s ability to retain and recall information and when that malfunctions, it is known as encoding failure. In this case, encoding failure would lead Brian to failure. This is because during the written portion of the exam if he is not able to remember anything he studied prior to the exam then he will have trouble completing the test. He may have studied hours on end and used all his free time to study yet still struggled during the exam. This could cause him to fail the test if he doesn’t remember anything.

<u>Predictive validity</u> is the scale of scores for a test that predicts the scores based on certain criteria. This cognitive test usually tests the job performance of current workers relative to a new employee. This helps give the employer a good idea of who they should hire. In this case, predictive validity can either lead Brian to success or to failure. If he is able to recall information that he can use and completes the exam with ease and gets a score that is approved based on the predictive validity, then he should be fine and will be successful. However, if he fails to do well on the exam and receives a poor score, then his chances of getting the internship become very slim, leading him to failure.

<u>Distributed practice</u> is a learning strategy in which you practice for a short session over a long period of time. A choir student may practice for 30 minutes, take an hour break, and repeat all day for a whole week so their voice can rest. For Brian, using this learning strategy can help his brain retain the information easier since he is getting a break. Reviewing something over and over again for a long time can get tiresome and boring. By studying for a little and then taking a break, his brain can rest. Brian may have an easier time retaining the information he needs for his exam because of this strategy. This can lead him to success.

<u>Proactive interference</u> is the effect of when learned materials may interfere with newer materials. This means that learning new things can make recalling old things a bit difficult. Brian could have been studying mainly on things that he recently learned and put his main focus on that. However, during the exam, one of the questions is about something he learned months ago. He cannot remember a single thing since he was so busy studying the newer information which is what he thought was most important. This leads him to failure.

PART B

Procedural memory is known as the memory system in charge of controlling encoding, storage, cognitive skills, etc. This is the memory on how to do certain things such as folding your clothes or tying your shoe. When Brian is asked to do his performance task and he fails to remember how to do it, that is his procedural memory malfunctioning. He freezes up when asked to do the task because he cannot recall a single thing on how to do it even though he’s done it multiple times before. This leads him to failure.  

Acetylcholine is a common type of neurotransmitter that activates the muscles. It helps the body move and is involved in breathing, attention, motivation, etc. Brian will need this neurotransmitter when performing his task since that is what will help him move. Acetylcholine will lead him to success since movement is one of the key aspects of a performance task. If he can move well without complications, then he will do well on the task.

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